Details

analyze1.7s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

74×	`+-commutative_binary64_19786`
50×	`*-commutative_binary64_19787`
41×	`associate-+l+_binary64_19789`
40×	`associate-+r+_binary64_19788`
38×	`associate-/r/_binary64_19802` `associate-/l*_binary64_19801`
1×	`1-exp_binary64_19900`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `log-pow_binary64_19945` `log-rec_binary64_19944` `log-div_binary64_19943` `log-prod_binary64_19942` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `unpow3_binary64_19922` `unpow2_binary64_19921` `unpow1/2_binary64_19920` `pow-plus_binary64_19919` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow1_binary64_19914` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `exp-prod_binary64_19908` `div-exp_binary64_19907` `rec-exp_binary64_19906` `prod-exp_binary64_19905` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `exp-sum_binary64_19902` `e-exp-1_binary64_19901` `exp-1-e_binary64_19899` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-unmult_binary64_19893` `cube-mult_binary64_19886` `cube-div_binary64_19885` `cube-prod_binary64_19884` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-sqrt-square_binary64_19869` `rem-square-sqrt_binary64_19868` `times-frac_binary64_19862` `div-sub_binary64_19861` `neg-mul-1_binary64_19852` `neg-sub0_binary64_19851` `unsub-neg_binary64_19850` `sub-neg_binary64_19849` `mul-1-neg_binary64_19848` `/-rgt-identity_binary64_19847` `-rgt-identity_binary64_19846` `-lft-identity_binary64_19845` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `div0_binary64_19837` `-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `remove-double-div_binary64_19832` `pow-sqr_binary64_19829` `sqr-pow_binary64_19828` `difference-of-sqr--1_binary64_19827` `difference-of-sqr-1_binary64_19826` `difference-of-squares_binary64_19825` `unswap-sqr_binary64_19824` `swap-sqr_binary64_19823` `cancel-sign-sub-inv_binary64_19822` `cancel-sign-sub_binary64_19821` `distribute-neg-frac_binary64_19820` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-neg-in_binary64_19817` `distribute-rgt-neg-out_binary64_19816` `distribute-lft-neg-out_binary64_19815` `distribute-rgt-neg-in_binary64_19814` `distribute-lft-neg-in_binary64_19813` `distribute-rgt1-in_binary64_19812` `distribute-lft1-in_binary64_19811` `distribute-rgt-out--_binary64_19810` `distribute-rgt-out_binary64_19809` `distribute-lft-out--_binary64_19808` `distribute-lft-out_binary64_19807` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805` `count-2_binary64_19804` `associate-/l/_binary64_19803` `associate-/r_binary64_19800` `associate-l/_binary64_19799` `associate-r/_binary64_19798` `associate-l_binary64_19797` `associate-r_binary64_19796` `associate--r-_binary64_19795` `associate--l-_binary64_19794` `associate--l+_binary64_19793` `associate--r+_binary64_19792` `associate-+l-_binary64_19791` `associate-+r-_binary64_19790`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	400
1	200	400
2	325	400
3	367	400
4	383	400
5	382	400
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample33.0ms (0.2%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_19787` `+-commutative_binary64_19786`
4×	`associate-/r/_binary64_19802` `associate-/l*_binary64_19801`
3×	`associate-+l+_binary64_19789` `associate-+r+_binary64_19788`
1×	`1-exp_binary64_19900`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `log-pow_binary64_19945` `log-rec_binary64_19944` `log-div_binary64_19943` `log-prod_binary64_19942` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `unpow3_binary64_19922` `unpow2_binary64_19921` `unpow1/2_binary64_19920` `pow-plus_binary64_19919` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow1_binary64_19914` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `exp-prod_binary64_19908` `div-exp_binary64_19907` `rec-exp_binary64_19906` `prod-exp_binary64_19905` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `exp-sum_binary64_19902` `e-exp-1_binary64_19901` `exp-1-e_binary64_19899` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-unmult_binary64_19893` `cube-mult_binary64_19886` `cube-div_binary64_19885` `cube-prod_binary64_19884` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-sqrt-square_binary64_19869` `rem-square-sqrt_binary64_19868` `times-frac_binary64_19862` `div-sub_binary64_19861` `neg-mul-1_binary64_19852` `neg-sub0_binary64_19851` `unsub-neg_binary64_19850` `sub-neg_binary64_19849` `mul-1-neg_binary64_19848` `/-rgt-identity_binary64_19847` `-rgt-identity_binary64_19846` `-lft-identity_binary64_19845` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `div0_binary64_19837` `-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `remove-double-div_binary64_19832` `pow-sqr_binary64_19829` `sqr-pow_binary64_19828` `difference-of-sqr--1_binary64_19827` `difference-of-sqr-1_binary64_19826` `difference-of-squares_binary64_19825` `unswap-sqr_binary64_19824` `swap-sqr_binary64_19823` `cancel-sign-sub-inv_binary64_19822` `cancel-sign-sub_binary64_19821` `distribute-neg-frac_binary64_19820` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-neg-in_binary64_19817` `distribute-rgt-neg-out_binary64_19816` `distribute-lft-neg-out_binary64_19815` `distribute-rgt-neg-in_binary64_19814` `distribute-lft-neg-in_binary64_19813` `distribute-rgt1-in_binary64_19812` `distribute-lft1-in_binary64_19811` `distribute-rgt-out--_binary64_19810` `distribute-rgt-out_binary64_19809` `distribute-lft-out--_binary64_19808` `distribute-lft-out_binary64_19807` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805` `count-2_binary64_19804` `associate-/l/_binary64_19803` `associate-/r_binary64_19800` `associate-l/_binary64_19799` `associate-r/_binary64_19798` `associate-l_binary64_19797` `associate-r_binary64_19796` `associate--r-_binary64_19795` `associate--l-_binary64_19794` `associate--l+_binary64_19793` `associate--r+_binary64_19792` `associate-+l-_binary64_19791` `associate-+r-_binary64_19790`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	29	25
2	41	25
3	47	25
4	49	25
5	48	25

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

17.4b

Counts

1 → 1

Compiler

Compiled 17 to 15 computations (11.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
4.6b	(/.f64 (*.f64 y b) t)
5.9b	(/.f64 (*.f64 y z) t)
11.9b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite406.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

11.2b

Rules

58×	`*-un-lft-identity_binary64_19856`
26×	`times-frac_binary64_19862`
22×	`distribute-lft-out_binary64_19807`
19×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878`
16×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
11×	`associate-/r*_binary64_19800`
6×	`add-log-exp_binary64_19895` `associate-/l*_binary64_19801`
5×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
4×	`pow1_binary64_19917` `flip3-+_binary64_19859` `flip-+_binary64_19830` `associate-/r/_binary64_19802`
3×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `div-inv_binary64_19853`
2×	`associate-/l/_binary64_19803` `frac-add_binary64_19864` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
1×	`sum-log_binary64_19947` `+-commutative_binary64_19786`

Counts

4 → 101

Calls

4 calls:

19.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 2733 to 866 computations (68.3% saved)

series1.8s (11.1%)

Error

4.5b

Counts

4 → 86

Calls

4 calls:

1.1s	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
241.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
152.0ms	(/.f64 (*.f64 y z) t)
150.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 6296 to 4212 computations (33.1% saved)

simplify214.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

545×	`cancel-sign-sub-inv_binary64_19822`
343×	`times-frac_binary64_19862`
279×	`associate-/l*_binary64_19801`
194×	`sub-neg_binary64_19849`
174×	`associate-/r*_binary64_19800`
159×	`unswap-sqr_binary64_19824`
145×	`associate-r_binary64_19796`
141×	`associate-l_binary64_19797`
117×	`distribute-rgt-in_binary64_19806`
110×	`associate-*l/_binary64_19799`
104×	`distribute-lft-in_binary64_19805`
102×	`*-commutative_binary64_19787`
99×	`associate-*r/_binary64_19798`
91×	`+-commutative_binary64_19786`
78×	`associate-/l/_binary64_19803`
68×	`associate--l+_binary64_19793`
67×	`associate-/r/_binary64_19802`
60×	`associate--r+_binary64_19792`
59×	`sqr-pow_binary64_19828`
54×	`neg-mul-1_binary64_19852` `neg-sub0_binary64_19851`
53×	`associate-+l+_binary64_19789`
43×	`unsub-neg_binary64_19850`
42×	`*-rgt-identity_binary64_19846`
38×	`log-prod_binary64_19942`
37×	`associate-+r+_binary64_19788`
34×	`log-div_binary64_19943`
29×	`cube-div_binary64_19885`
27×	`distribute-neg-in_binary64_19817`
25×	`unpow3_binary64_19922`
19×	`distribute-neg-frac_binary64_19820`
18×	`*-lft-identity_binary64_19845`
17×	`cube-prod_binary64_19884`
14×	`/-rgt-identity_binary64_19847` `swap-sqr_binary64_19823`
13×	`cube-mult_binary64_19886`
11×	`div-sub_binary64_19861` `distribute-rgt-neg-in_binary64_19814`
9×	`log-pow_binary64_19945`
6×	`unpow2_binary64_19921` `unpow1/2_binary64_19920` `unpow1_binary64_19914` `distribute-lft-neg-in_binary64_19813`
4×	`cube-unmult_binary64_19893` `difference-of-squares_binary64_19825`
3×	`log-rec_binary64_19944` `exp-prod_binary64_19908` `distribute-lft-neg-out_binary64_19815`
2×	`associate-+l-_binary64_19791` `associate-+r-_binary64_19790`
1×	`prod-exp_binary64_19905` `1-exp_binary64_19900` `rem-sqrt-square_binary64_19869` `difference-of-sqr--1_binary64_19827` `difference-of-sqr-1_binary64_19826` `distribute-rgt1-in_binary64_19812` `distribute-rgt-out--_binary64_19810`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `pow-plus_binary64_19919` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `div-exp_binary64_19907` `rec-exp_binary64_19906` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `exp-sum_binary64_19902` `e-exp-1_binary64_19901` `exp-1-e_binary64_19899` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-square-sqrt_binary64_19868` `mul-1-neg_binary64_19848` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `div0_binary64_19837` `*-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `remove-double-div_binary64_19832` `pow-sqr_binary64_19829` `cancel-sign-sub_binary64_19821` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-rgt-neg-out_binary64_19816` `distribute-lft1-in_binary64_19811` `distribute-rgt-out_binary64_19809` `distribute-lft-out--_binary64_19808` `distribute-lft-out_binary64_19807` `count-2_binary64_19804` `associate--r-_binary64_19795` `associate--l-_binary64_19794`

Counts

187 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	5070
1	865	4923
2	3655	4906
3	4960	4906
4	4997	4906
5	4979	4906

prune192.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Error

3.2b

Counts

123 → 9

Compiler

Compiled 3957 to 1389 computations (64.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
4.6b	(/.f64 (*.f64 y b) t)
4.6b	(/.f64 (*.f64 y b) t)
12.8b	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite180.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

Rules

28×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
15×	`*-un-lft-identity_binary64_19856`
12×	`add-sqr-sqrt_binary64_19878`
10×	`add-cube-cbrt_binary64_19891`
8×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
7×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `times-frac_binary64_19862` `associate-/r*_binary64_19800`
6×	`pow1_binary64_19917`
5×	`associate-r_binary64_19796`
4×	`add-log-exp_binary64_19895` `associate-*r/_binary64_19798`
3×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `div-inv_binary64_19853` `associate-/l_binary64_19801` `associate-l*_binary64_19797` `distribute-lft-out_binary64_19807`
2×	`flip3-+_binary64_19859` `associate-/r/_binary64_19802` `flip-+_binary64_19830`
1×	`pow-prod-down_binary64_19927` `unswap-sqr_binary64_19824` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805` `*-commutative_binary64_19787`

Counts

4 → 89

Calls

4 calls:

14.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
12.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
8.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 3155 to 1224 computations (61.2% saved)

series1.4s (8.4%)

Error

1.5b

Counts

4 → 69

Calls

4 calls:

594.0ms	(/.f64 (.f64 z y) (.f64 t (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
369.0ms	(.f64 t (+.f64 a (+.f64 (/.f64 (.f64 y b) t) 1)))
158.0ms	(/.f64 (*.f64 y b) t)
155.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5381 to 3282 computations (39% saved)

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-rgt-in_binary64_19806`
623×	`distribute-lft-in_binary64_19805`
328×	`times-frac_binary64_19862`
218×	`associate-/l*_binary64_19801`
157×	`associate-/r*_binary64_19800`
144×	`associate-l_binary64_19797`
113×	`associate-r_binary64_19796`
104×	`cancel-sign-sub-inv_binary64_19822`
95×	`distribute-neg-frac_binary64_19820`
94×	`distribute-rgt-neg-in_binary64_19814`
86×	`distribute-lft-neg-in_binary64_19813`
72×	`unswap-sqr_binary64_19824`
69×	`*-commutative_binary64_19787`
61×	`associate-*l/_binary64_19799`
59×	`log-div_binary64_19943` `sub-neg_binary64_19849`
53×	`log-prod_binary64_19942`
49×	`associate-*r/_binary64_19798`
41×	`sqr-pow_binary64_19828` `associate-/r/_binary64_19802`
38×	`neg-mul-1_binary64_19852` `neg-sub0_binary64_19851`
30×	`distribute-neg-in_binary64_19817`
29×	`exp-prod_binary64_19908`
28×	`associate-/l/_binary64_19803`
25×	`-rgt-identity_binary64_19846` `-lft-identity_binary64_19845`
24×	`+-commutative_binary64_19786`
21×	`cube-prod_binary64_19884` `swap-sqr_binary64_19823`
15×	`unsub-neg_binary64_19850`
14×	`cube-div_binary64_19885`
13×	`exp-sum_binary64_19902` `associate--r+_binary64_19792`
12×	`/-rgt-identity_binary64_19847`
10×	`distribute-lft-neg-out_binary64_19815`
8×	`distribute-rgt-out_binary64_19809`
7×	`cube-unmult_binary64_19893`
6×	`log-pow_binary64_19945` `log-rec_binary64_19944` `unpow2_binary64_19921` `unpow1/2_binary64_19920` `unpow1_binary64_19914` `associate--l+_binary64_19793` `associate-+l+_binary64_19789` `associate-+r+_binary64_19788`
5×	`distribute-rgt-neg-out_binary64_19816`
4×	`div-sub_binary64_19861`
3×	`pow-plus_binary64_19919` `distribute-rgt-out--_binary64_19810`
2×	`unpow3_binary64_19922` `cube-mult_binary64_19886` `difference-of-squares_binary64_19825` `distribute-lft-out_binary64_19807`
1×	`1-exp_binary64_19900` `exp-1-e_binary64_19899` `rem-sqrt-square_binary64_19869` `pow-sqr_binary64_19829` `difference-of-sqr-1_binary64_19826` `distribute-lft-out--_binary64_19808`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `div-exp_binary64_19907` `rec-exp_binary64_19906` `prod-exp_binary64_19905` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `e-exp-1_binary64_19901` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-square-sqrt_binary64_19868` `mul-1-neg_binary64_19848` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `div0_binary64_19837` `*-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `remove-double-div_binary64_19832` `difference-of-sqr--1_binary64_19827` `cancel-sign-sub_binary64_19821` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-rgt1-in_binary64_19812` `distribute-lft1-in_binary64_19811` `count-2_binary64_19804` `associate--r-_binary64_19795` `associate--l-_binary64_19794` `associate-+l-_binary64_19791` `associate-+r-_binary64_19790`

Counts

158 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	2772
1	509	2379
2	2295	2305
3	4969	2305
4	4991	2305

prune91.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	60	10	70

Error

1.0b

Counts

70 → 10

Compiler

Compiled 2017 to 819 computations (59.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 (*.f64 y b) t)
4.6b	(/.f64 (*.f64 y b) t)
5.5b	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
6.5b	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))

rewrite369.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

156×	`*-un-lft-identity_binary64_19856`
144×	`times-frac_binary64_19862`
76×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878`
48×	`distribute-lft-out_binary64_19807`
32×	`associate-/r*_binary64_19800`
21×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
11×	`associate-/r/_binary64_19802`
8×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `div-inv_binary64_19853` `associate-/l*_binary64_19801`
5×	`flip3-+_binary64_19859` `flip-+_binary64_19830`
4×	`pow1_binary64_19917` `add-log-exp_binary64_19895` `frac-2neg_binary64_19867` `clear-num_binary64_19855`
2×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`

Counts

4 → 181

Calls

4 calls:

16.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
10.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 7098 to 2981 computations (58% saved)

series1.3s (7.8%)

Error

0.7b

Counts

4 → 68

Calls

4 calls:

511.0ms	(/.f64 t (/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1))))
358.0ms	(/.f64 y (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
158.0ms	(/.f64 (*.f64 y b) t)
156.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 5237 to 3309 computations (36.8% saved)

simplify291.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64_19802`
613×	`distribute-rgt-in_binary64_19806`
559×	`distribute-lft-in_binary64_19805`
152×	`associate-/l/_binary64_19803`
144×	`associate-/l*_binary64_19801`
139×	`associate-*l/_binary64_19799`
104×	`*-commutative_binary64_19787`
101×	`cancel-sign-sub-inv_binary64_19822`
90×	`times-frac_binary64_19862`
75×	`sub-neg_binary64_19849` `distribute-neg-frac_binary64_19820`
72×	`associate-*r/_binary64_19798`
69×	`associate-/r*_binary64_19800`
68×	`unswap-sqr_binary64_19824`
57×	`*-rgt-identity_binary64_19846`
56×	`associate-r_binary64_19796`
54×	`associate-l_binary64_19797`
51×	`distribute-rgt-neg-in_binary64_19814`
46×	`distribute-lft-neg-in_binary64_19813`
45×	`log-prod_binary64_19942`
44×	`cube-prod_binary64_19884`
36×	`neg-mul-1_binary64_19852` `neg-sub0_binary64_19851` `sqr-pow_binary64_19828`
33×	`log-div_binary64_19943` `+-commutative_binary64_19786`
28×	`exp-sum_binary64_19902`
27×	`distribute-neg-in_binary64_19817`
26×	`*-lft-identity_binary64_19845`
24×	`exp-prod_binary64_19908`
23×	`unpow3_binary64_19922`
18×	`cube-div_binary64_19885`
17×	`associate--r+_binary64_19792`
14×	`unsub-neg_binary64_19850`
12×	`associate--l+_binary64_19793`
11×	`cube-unmult_binary64_19893` `distribute-lft-neg-out_binary64_19815` `distribute-rgt-out--_binary64_19810`
9×	`log-pow_binary64_19945` `/-rgt-identity_binary64_19847` `swap-sqr_binary64_19823` `associate-+l+_binary64_19789`
8×	`pow-plus_binary64_19919` `cube-mult_binary64_19886` `distribute-rgt-out_binary64_19809`
7×	`distribute-rgt-neg-out_binary64_19816`
6×	`unpow2_binary64_19921` `unpow1/2_binary64_19920` `unpow1_binary64_19914` `associate-+r+_binary64_19788`
3×	`log-rec_binary64_19944` `div-sub_binary64_19861` `remove-double-div_binary64_19832` `difference-of-squares_binary64_19825` `distribute-lft-out_binary64_19807`
2×	`rem-sqrt-square_binary64_19869` `distribute-rgt1-in_binary64_19812`
1×	`1-exp_binary64_19900` `remove-double-neg_binary64_19844` `div0_binary64_19837` `difference-of-sqr-1_binary64_19826` `associate--r-_binary64_19795` `associate-+l-_binary64_19791` `associate-+r-_binary64_19790`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `div-exp_binary64_19907` `rec-exp_binary64_19906` `prod-exp_binary64_19905` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `e-exp-1_binary64_19901` `exp-1-e_binary64_19899` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-square-sqrt_binary64_19868` `mul-1-neg_binary64_19848` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `*-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `pow-sqr_binary64_19829` `difference-of-sqr--1_binary64_19827` `cancel-sign-sub_binary64_19821` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-lft1-in_binary64_19811` `distribute-lft-out--_binary64_19808` `count-2_binary64_19804` `associate--l-_binary64_19794`

Counts

249 → 213

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5964
1	651	5676
2	2279	5617
3	4851	5617
4	4992	5617
5	5000	5617
6	4987	5617

prune348.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	2	6	8
Picked	0	1	1
Done	1	0	1
Total	215	8	223

Error

0.7b

Counts

223 → 8

Compiler

Compiled 7757 to 3171 computations (59.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(*.f64 (/.f64 t y) (+.f64 a 1))
2.6b	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
3.6b	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
4.6b	(/.f64 (*.f64 y b) t)

rewrite220.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

54×	`*-un-lft-identity_binary64_19856`
37×	`add-sqr-sqrt_binary64_19878` `times-frac_binary64_19862`
32×	`add-cube-cbrt_binary64_19891`
18×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`distribute-lft-out_binary64_19807` `associate-l_binary64_19797`
11×	`associate-/r*_binary64_19800`
7×	`associate-/l*_binary64_19801`
6×	`pow1_binary64_19917`
5×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
4×	`add-log-exp_binary64_19895` `div-inv_binary64_19853` `flip3-+_binary64_19859` `associate-/r/_binary64_19802` `flip-+_binary64_19830` `associate-r_binary64_19796`
3×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `frac-2neg_binary64_19867` `clear-num_binary64_19855`
2×	`frac-times_binary64_19866` `unswap-sqr_binary64_19824` `associate-*r/_binary64_19798`
1×	`pow-prod-down_binary64_19927` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805` `associate-l/_binary64_19799` `-commutative_binary64_19787`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
9.0ms	(*.f64 (/.f64 t y) (+.f64 a 1))
5.0ms	(/.f64 (*.f64 y b) t)
5.0ms	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))

Compiler

Compiled 4072 to 1911 computations (53.1% saved)

series1.5s (9%)

Error

0.7b

Counts

4 → 78

Calls

4 calls:

529.0ms	(/.f64 z (+.f64 b (*.f64 (/.f64 t y) (+.f64 a 1))))
480.0ms	(/.f64 x (+.f64 a (+.f64 (/.f64 (*.f64 y b) t) 1)))
177.0ms	(*.f64 (/.f64 t y) (+.f64 a 1))
156.0ms	(/.f64 (*.f64 y b) t)

Compiler

Compiled 6423 to 4159 computations (35.2% saved)

simplify143.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

938×	`distribute-rgt-in_binary64_19806`
307×	`cancel-sign-sub-inv_binary64_19822`
237×	`times-frac_binary64_19862`
233×	`associate-/l*_binary64_19801`
174×	`unswap-sqr_binary64_19824`
168×	`associate-l_binary64_19797`
161×	`distribute-lft-in_binary64_19805`
153×	`associate-*l/_binary64_19799`
147×	`associate-r_binary64_19796`
146×	`distribute-rgt-neg-in_binary64_19814`
145×	`distribute-neg-frac_binary64_19820`
139×	`associate-/r*_binary64_19800`
125×	`distribute-lft-neg-in_binary64_19813`
120×	`*-commutative_binary64_19787`
104×	`sub-neg_binary64_19849` `associate-*r/_binary64_19798`
73×	`associate-/l/_binary64_19803`
69×	`sqr-pow_binary64_19828` `associate-/r/_binary64_19802`
62×	`*-rgt-identity_binary64_19846`
59×	`neg-mul-1_binary64_19852` `neg-sub0_binary64_19851`
58×	`distribute-neg-in_binary64_19817`
56×	`+-commutative_binary64_19786`
39×	`*-lft-identity_binary64_19845`
31×	`swap-sqr_binary64_19823`
28×	`cube-prod_binary64_19884`
27×	`log-div_binary64_19943`
25×	`unsub-neg_binary64_19850` `associate--r+_binary64_19792`
23×	`log-prod_binary64_19942`
21×	`exp-prod_binary64_19908` `distribute-rgt-out_binary64_19809`
18×	`cube-div_binary64_19885`
16×	`associate--l+_binary64_19793`
15×	`distribute-lft-neg-out_binary64_19815`
13×	`/-rgt-identity_binary64_19847`
11×	`unpow3_binary64_19922` `distribute-rgt-out--_binary64_19810`
10×	`cube-mult_binary64_19886` `associate-+l+_binary64_19789`
8×	`unpow2_binary64_19921` `unpow1/2_binary64_19920` `unpow1_binary64_19914` `cube-unmult_binary64_19893`
7×	`div-sub_binary64_19861`
6×	`log-pow_binary64_19945` `distribute-rgt1-in_binary64_19812` `associate-+r+_binary64_19788`
5×	`difference-of-squares_binary64_19825`
4×	`exp-sum_binary64_19902` `rem-sqrt-square_binary64_19869` `distribute-rgt-neg-out_binary64_19816` `distribute-lft-out_binary64_19807`
3×	`distribute-lft-out--_binary64_19808`
2×	`log-rec_binary64_19944` `associate-+l-_binary64_19791` `associate-+r-_binary64_19790`
1×	`1-exp_binary64_19900` `exp-1-e_binary64_19899` `pow-sqr_binary64_19829` `difference-of-sqr--1_binary64_19827` `difference-of-sqr-1_binary64_19826`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_20119` `erf-erfc_binary64_20118` `erf-odd_binary64_20117` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `not-gte_binary64_20108` `not-lte_binary64_20107` `not-gt_binary64_20106` `not-lt_binary64_20105` `gte-same_binary64_20104` `lte-same_binary64_20103` `gt-same_binary64_20102` `lt-same_binary64_20101` `sinh---cosh_binary64_20048` `sinh-+-cosh_binary64_20047` `sinh-cosh_binary64_20046` `tanh-def-c_binary64_20045` `tanh-def-b_binary64_20044` `tanh-def-a_binary64_20043` `cosh-def_binary64_20042` `sinh-def_binary64_20041` `tan-neg_binary64_19988` `cos-neg_binary64_19987` `sin-neg_binary64_19986` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `hang-m-tan_binary64_19982` `hang-p-tan_binary64_19981` `hang-m0-tan_binary64_19980` `hang-p0-tan_binary64_19979` `hang-0m-tan_binary64_19978` `hang-0p-tan_binary64_19977` `tan-+PI/2_binary64_19976` `tan-+PI_binary64_19975` `tan-PI_binary64_19974` `tan-PI/3_binary64_19973` `tan-PI/4_binary64_19972` `tan-PI/6_binary64_19971` `cos-+PI/2_binary64_19970` `cos-+PI_binary64_19969` `cos-PI_binary64_19968` `cos-PI/2_binary64_19967` `cos-PI/3_binary64_19966` `cos-PI/4_binary64_19965` `cos-PI/6_binary64_19964` `sin-+PI/2_binary64_19963` `sin-+PI_binary64_19962` `sin-PI_binary64_19961` `sin-PI/2_binary64_19960` `sin-PI/3_binary64_19959` `sin-PI/4_binary64_19958` `sin-PI/6_binary64_19957` `sub-1-sin_binary64_19956` `sub-1-cos_binary64_19955` `-1-add-sin_binary64_19954` `-1-add-cos_binary64_19953` `1-sub-sin_binary64_19952` `1-sub-cos_binary64_19951` `cos-sin-sum_binary64_19950` `log-E_binary64_19946` `pow-base-0_binary64_19940` `unpow1/3_binary64_19923` `pow-plus_binary64_19919` `exp-to-pow_binary64_19918` `pow-base-1_binary64_19916` `unpow0_binary64_19915` `unpow-1_binary64_19913` `exp-lft-cube_binary64_19912` `exp-lft-sqr_binary64_19911` `exp-cbrt_binary64_19910` `exp-sqrt_binary64_19909` `div-exp_binary64_19907` `rec-exp_binary64_19906` `prod-exp_binary64_19905` `exp-diff_binary64_19904` `exp-neg_binary64_19903` `e-exp-1_binary64_19901` `exp-0_binary64_19898` `rem-log-exp_binary64_19897` `rem-exp-log_binary64_19896` `cube-neg_binary64_19883` `rem-3cbrt-rft_binary64_19882` `rem-3cbrt-lft_binary64_19881` `rem-cbrt-cube_binary64_19880` `rem-cube-cbrt_binary64_19879` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `rem-square-sqrt_binary64_19868` `mul-1-neg_binary64_19848` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `mul0-rgt_binary64_19839` `mul0-lft_binary64_19838` `div0_binary64_19837` `*-inverses_binary64_19836` `+-inverses_binary64_19835` `lft-mult-inverse_binary64_19834` `rgt-mult-inverse_binary64_19833` `remove-double-div_binary64_19832` `cancel-sign-sub_binary64_19821` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-lft1-in_binary64_19811` `count-2_binary64_19804` `associate--r-_binary64_19795` `associate--l-_binary64_19794`

Counts

204 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	4311
1	921	4095
2	3186	3994
3	5571	3994

prune157.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	115	7	122

Error

0.7b

Counts

122 → 7

Compiler

Compiled 3439 to 1500 computations (56.4% saved)

regimes2.4s (14.9%)

Accuracy

Total 3.4b remaining (87.2%)

Threshold costs 0b (0%)

Compiler

Compiled 31148 to 22320 computations (28.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_19786`
2×	`*-commutative_binary64_19787`
1×	`1-exp_binary64_19900`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_20116` `if-if-and_binary64_20115` `if-if-or-not_binary64_20114` `if-if-or_binary64_20113` `if-not_binary64_20112` `if-same_binary64_20111` `if-false_binary64_20110` `if-true_binary64_20109` `tan-0_binary64_19985` `cos-0_binary64_19984` `sin-0_binary64_19983` `unpow1_binary64_19914` `e-exp-1_binary64_19901` `exp-1-e_binary64_19899` `exp-0_binary64_19898` `sqr-abs_binary64_19871` `sqr-neg_binary64_19870` `neg-mul-1_binary64_19852` `neg-sub0_binary64_19851` `unsub-neg_binary64_19850` `sub-neg_binary64_19849` `mul-1-neg_binary64_19848` `/-rgt-identity_binary64_19847` `-rgt-identity_binary64_19846` `-lft-identity_binary64_19845` `remove-double-neg_binary64_19844` `sub0-neg_binary64_19843` `--rgt-identity_binary64_19842` `+-rgt-identity_binary64_19841` `+-lft-identity_binary64_19840` `cancel-sign-sub-inv_binary64_19822` `cancel-sign-sub_binary64_19821` `distribute-neg-frac_binary64_19820` `distribute-frac-neg_binary64_19819` `distribute-neg-out_binary64_19818` `distribute-neg-in_binary64_19817` `distribute-rgt-neg-out_binary64_19816` `distribute-lft-neg-out_binary64_19815` `distribute-rgt-neg-in_binary64_19814` `distribute-lft-neg-in_binary64_19813`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	28	34
2	27	34

end0.0ms (0%)

sample3.4s (20.9%)

Algorithm

1×

intervals

Results

531.0ms	8000×	body	128	valid
16.0ms	254×	body	128	invalid

Compiler

Compiled 3768 to 2699 computations (28.4% saved)

Details

analyze1.7s (10.3%)

sample33.0ms (0.2%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize14.0ms (0.1%)

rewrite406.0ms (2.5%)

series1.8s (11.1%)

simplify214.0ms (1.3%)

prune192.0ms (1.2%)

localize15.0ms (0.1%)

rewrite180.0ms (1.1%)

series1.4s (8.4%)

simplify122.0ms (0.8%)

prune91.0ms (0.6%)

localize19.0ms (0.1%)

rewrite369.0ms (2.3%)

series1.3s (7.8%)

simplify291.0ms (1.8%)

prune348.0ms (2.2%)

localize18.0ms (0.1%)

rewrite220.0ms (1.4%)

series1.5s (9%)

simplify143.0ms (0.9%)

prune157.0ms (1%)

regimes2.4s (14.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (20.9%)

Profiling