Details

analyze1.1s (11.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

867×	`unsub-neg_binary64`
711×	`div-sub_binary64`
415×	`distribute-lft-in_binary64`
400×	`distribute-rgt-in_binary64`
241×	`*-commutative_binary64`
223×	`associate-+l+_binary64`
220×	`associate-+r+_binary64`
210×	`neg-sub0_binary64`
181×	`associate-r_binary64`
180×	`associate-l_binary64`
131×	`neg-mul-1_binary64`
122×	`associate-*l/_binary64`
109×	`distribute-rgt-neg-out_binary64`
108×	`associate-*r/_binary64`
107×	`distribute-lft-neg-out_binary64`
103×	`+-commutative_binary64`
100×	`sub-neg_binary64`
90×	`associate-/l*_binary64`
39×	`associate-+l-_binary64` `associate-+r-_binary64`
33×	`associate-/r/_binary64`
28×	`associate--r+_binary64`
21×	`distribute-rgt-neg-in_binary64`
19×	`distribute-lft-neg-in_binary64`
17×	`sub0-neg_binary64`
14×	`associate--r-_binary64`
12×	`distribute-neg-in_binary64`
10×	`distribute-neg-frac_binary64`
5×	`+-rgt-identity_binary64`
4×	`distribute-frac-neg_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r_binary64` `associate--l-_binary64` `associate--l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	150	209
2	357	209
3	1185	209
4	3478	209
5	5212	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	221×	body	128	valid
2.0ms	13×	body	1024	valid
1.0ms	12×	body	512	valid
1.0ms	30×	body	128	invalid
1.0ms	10×	body	256	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1165×	`unsub-neg_binary64`
859×	`div-sub_binary64`
666×	`neg-mul-1_binary64`
534×	`neg-sub0_binary64`
388×	`distribute-frac-neg_binary64`
381×	`sub-neg_binary64`
302×	`distribute-neg-in_binary64`
272×	`distribute-rgt-neg-in_binary64`
234×	`distribute-neg-out_binary64`
205×	`distribute-rgt-in_binary64`
201×	`distribute-rgt-neg-out_binary64`
199×	`associate-+l-_binary64`
198×	`associate-+l+_binary64`
180×	`distribute-lft-neg-out_binary64`
171×	`associate-+r+_binary64`
152×	`remove-double-neg_binary64`
139×	`distribute-lft-in_binary64`
136×	`associate-/l*_binary64`
113×	`distribute-neg-frac_binary64`
112×	`times-frac_binary64`
98×	`distribute-lft-neg-in_binary64`
96×	`associate--r+_binary64`
82×	`distribute-rgt-out--_binary64`
76×	`associate-/r*_binary64`
71×	`sub0-neg_binary64`
66×	`+-commutative_binary64`
65×	`associate-+r-_binary64`
64×	`associate-r_binary64`
60×	`associate--l+_binary64` `*-commutative_binary64`
58×	`cancel-sign-sub-inv_binary64`
53×	`associate-l_binary64`
37×	`associate-/r/_binary64`
35×	`associate-*l/_binary64`
32×	`div0_binary64`
27×	`*-lft-identity_binary64`
26×	`associate-*r/_binary64`
25×	`distribute-rgt-out_binary64`
21×	`distribute-lft-out_binary64`
19×	`mul0-rgt_binary64` `mul0-lft_binary64`
17×	`associate--l-_binary64`
14×	`/-rgt-identity_binary64`
12×	`associate--r-_binary64`
11×	`+-rgt-identity_binary64`
8×	`mul-1-neg_binary64`
7×	`distribute-rgt1-in_binary64`
3×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
2×	`--rgt-identity_binary64` `*-inverses_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64`
1×	`1-exp_binary64` `cancel-sign-sub_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `distribute-lft-out--_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	19
2	50	19
3	146	19
4	431	19
5	974	19
6	2396	19
7	3621	19
8	4190	19
9	4973	19

prune1.0ms (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

14.2b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
2.7b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.7b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite382.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

78×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
23×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `associate-l_binary64` `associate-/l_binary64` `associate-/r_binary64`
4×	`associate-/r/_binary64`
2×	`div-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64` `div-inv_binary64` `associate-/l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 119

Calls

3 calls:

17.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2307 to 458 computations (80.1% saved)

series486.0ms (5.2%)

Error

1.0b

Counts

3 → 104

Calls

3 calls:

200.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
137.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
72.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 7011 to 4000 computations (42.9% saved)

simplify183.0ms (2%)

Algorithm

1×	egg-herbie

Rules

376×	`associate-+r+_binary64`
291×	`associate-+l+_binary64`
232×	`associate--l+_binary64`
216×	`associate-/l*_binary64`
201×	`associate--r+_binary64`
160×	`sub-neg_binary64`
148×	`times-frac_binary64`
147×	`associate-l_binary64`
138×	`+-commutative_binary64`
137×	`associate-r_binary64`
112×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
87×	`associate-/r*_binary64`
85×	`*-commutative_binary64`
72×	`associate-*r/_binary64`
65×	`distribute-neg-in_binary64`
61×	`associate-/r/_binary64`
50×	`neg-sub0_binary64`
49×	`div-sub_binary64` `associate-*l/_binary64`
43×	`associate-/l/_binary64`
42×	`neg-mul-1_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
18×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`log-prod_binary64` `mul-1-neg_binary64`
12×	`exp-prod_binary64`
8×	`unpow3_binary64` `exp-sum_binary64`
7×	`log-div_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-mult_binary64` `difference-of-squares_binary64`
4×	`exp-diff_binary64` `cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_binary64`
3×	`cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--r-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `*-rgt-identity_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

223 → 136

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	464	7169
1	1279	6911
2	4950	6911
3	4986	6911

prune79.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	125	11	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	11	137

Error

0.9b

Counts

137 → 11

Compiler

Compiled 2557 to 716 computations (72% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
2.6b	(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
4.3b	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
7.4b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))

rewrite228.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

114×	`cbrt-div_binary64`
84×	`frac-times_binary64`
58×	`flip3--_binary64` `flip--_binary64`
52×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
37×	`associate-*r/_binary64`
32×	`associate-l_binary64`
30×	`add-exp-log_binary64` `associate-*l/_binary64`
27×	`times-frac_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
15×	`prod-exp_binary64` `cbrt-unprod_binary64`
12×	`cbrt-prod_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
6×	`add-log-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`*-commutative_binary64` `associate-/r/_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `div-inv_binary64` `pow1/3_binary64`

Counts

4 → 166

Calls

4 calls:

26.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
21.0ms	(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
4.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))
3.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 6242 to 1068 computations (82.9% saved)

series661.0ms (7.1%)

Error

0.9b

Counts

4 → 110

Calls

4 calls:

233.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))))
173.0ms	(*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z)))
150.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (*.f64 (/.f64 (-.f64 t x) (-.f64 a z)) (cbrt.f64 (-.f64 y z))))
26.0ms	(cbrt.f64 (-.f64 y z))

Compiler

Compiled 9440 to 5432 computations (42.5% saved)

simplify200.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-r_binary64`
523×	`associate-l_binary64`
255×	`associate-/l*_binary64`
238×	`*-commutative_binary64`
165×	`sub-neg_binary64`
148×	`times-frac_binary64`
146×	`+-commutative_binary64`
134×	`associate-*l/_binary64`
130×	`associate-*r/_binary64`
110×	`distribute-rgt-in_binary64`
102×	`distribute-lft-in_binary64`
98×	`associate-+r+_binary64`
89×	`associate-/r*_binary64`
64×	`distribute-neg-in_binary64`
58×	`neg-sub0_binary64` `associate-/r/_binary64`
48×	`cancel-sign-sub-inv_binary64`
45×	`neg-mul-1_binary64`
40×	`associate--l+_binary64`
38×	`sqr-pow_binary64`
36×	`associate--r+_binary64`
33×	`distribute-rgt-neg-in_binary64`
26×	`div-sub_binary64`
25×	`distribute-lft-neg-in_binary64`
21×	`mul-1-neg_binary64` `distribute-neg-frac_binary64`
20×	`distribute-rgt-out_binary64`
12×	`exp-prod_binary64`
10×	`distribute-lft-out_binary64`
8×	`log-prod_binary64` `unpow1/3_binary64` `unpow3_binary64` `swap-sqr_binary64`
7×	`cube-unmult_binary64` `unswap-sqr_binary64`
6×	`cube-mult_binary64` `distribute-lft-out--_binary64`
5×	`cube-prod_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`
4×	`log-div_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `exp-sum_binary64` `rem-3cbrt-lft_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64` `associate-+l+_binary64`
2×	`exp-diff_binary64` `*-rgt-identity_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `pow-sqr_binary64` `count-2_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

276 → 228

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	663	11556
1	1841	10440
2	5034	10440

prune134.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	226	2	228
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	227	12	239

Error

0.9b

Counts

239 → 12

Compiler

Compiled 5123 to 1263 computations (75.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t x))
0.6b	(cbrt.f64 (-.f64 t x))
6.7b	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
8.1b	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))

rewrite157.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

82×	`frac-times_binary64`
76×	`cbrt-div_binary64`
56×	`flip3--_binary64` `flip--_binary64`
38×	`associate-*l/_binary64`
32×	`associate-*r/_binary64`
22×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`pow1_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`prod-exp_binary64` `cbrt-unprod_binary64`
10×	`cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `pow-prod-down_binary64`
5×	`associate-l_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `pow1/3_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

26.0ms	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
4.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 t x))
3.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 4915 to 902 computations (81.6% saved)

series491.0ms (5.3%)

Error

0.9b

Counts

4 → 90

Calls

4 calls:

228.0ms	(+.f64 x (.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z)))))
148.0ms	(.f64 (-.f64 y z) (.f64 (*.f64 (cbrt.f64 (-.f64 t x)) (cbrt.f64 (-.f64 t x))) (/.f64 (cbrt.f64 (-.f64 t x)) (-.f64 a z))))
27.0ms	(cbrt.f64 (-.f64 t x))
26.0ms	(cbrt.f64 (-.f64 t x))

Compiler

Compiled 7163 to 4124 computations (42.4% saved)

simplify262.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

435×	`associate-r_binary64`
416×	`associate-l_binary64`
274×	`associate-+l+_binary64`
210×	`associate--l+_binary64`
182×	`associate-/l*_binary64`
176×	`*-commutative_binary64`
167×	`associate--r+_binary64`
156×	`distribute-rgt-in_binary64`
150×	`distribute-lft-in_binary64`
133×	`sub-neg_binary64`
128×	`+-commutative_binary64`
109×	`times-frac_binary64`
90×	`associate-+r+_binary64`
61×	`associate-/r*_binary64`
57×	`associate-*r/_binary64`
51×	`neg-sub0_binary64`
50×	`distribute-neg-in_binary64`
47×	`associate-/r/_binary64`
43×	`associate-*l/_binary64`
42×	`neg-mul-1_binary64`
33×	`sqr-pow_binary64`
29×	`log-prod_binary64`
27×	`distribute-rgt-neg-in_binary64`
26×	`cancel-sign-sub-inv_binary64`
21×	`distribute-lft-neg-in_binary64`
19×	`distribute-neg-frac_binary64`
16×	`div-sub_binary64`
15×	`mul-1-neg_binary64`
9×	`log-div_binary64` `unpow3_binary64`
7×	`cube-mult_binary64` `distribute-lft-neg-out_binary64`
6×	`swap-sqr_binary64` `associate-+r-_binary64`
5×	`exp-prod_binary64` `cube-unmult_binary64` `cube-prod_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64`
4×	`unpow1/3_binary64`
3×	`unpow2_binary64` `unpow1_binary64` `associate-+l-_binary64`
2×	`distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
1×	`log-pow_binary64` `log-rec_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `cube-div_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `count-2_binary64` `associate--r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate--l-_binary64`

Counts

211 → 168

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	538	8495
1	1404	8277
2	4982	8277
3	4999	8277
4	4981	8277

prune104.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	168	12	180

Error

0.9b

Counts

180 → 12

Compiler

Compiled 4285 to 1084 computations (74.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(+.f64 x (+.f64 (/.f64 (.f64 x z) (-.f64 a z)) (-.f64 (/.f64 (.f64 (-.f64 t x) y) (-.f64 a z)) (/.f64 (*.f64 t z) (-.f64 a z)))))
8.2b	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
8.9b	(/.f64 (*.f64 t z) (-.f64 a z))
9.7b	(/.f64 (*.f64 x z) (-.f64 a z))

rewrite163.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

31×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`times-frac_binary64` `associate-/r*_binary64`
13×	`add-log-exp_binary64`
10×	`add-cube-cbrt_binary64`
7×	`distribute-lft-out--_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `associate-/r/_binary64`
5×	`sum-log_binary64` `distribute-lft-out_binary64`
4×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64`
2×	`associate-*l/_binary64` `associate-/l/_binary64` `associate-+r-_binary64`
1×	`diff-log_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `+-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

29.0ms	(+.f64 x (+.f64 (/.f64 (.f64 x z) (-.f64 a z)) (-.f64 (/.f64 (.f64 (-.f64 t x) y) (-.f64 a z)) (/.f64 (*.f64 t z) (-.f64 a z)))))
10.0ms	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
6.0ms	(/.f64 (*.f64 t z) (-.f64 a z))
6.0ms	(/.f64 (*.f64 x z) (-.f64 a z))

Compiler

Compiled 3373 to 522 computations (84.5% saved)

series445.0ms (4.8%)

Error

0.9b

Counts

4 → 101

Calls

4 calls:

201.0ms	(+.f64 x (+.f64 (/.f64 (.f64 x z) (-.f64 a z)) (-.f64 (/.f64 (.f64 (-.f64 t x) y) (-.f64 a z)) (/.f64 (*.f64 t z) (-.f64 a z)))))
110.0ms	(/.f64 (*.f64 (-.f64 t x) y) (-.f64 a z))
44.0ms	(/.f64 (*.f64 x z) (-.f64 a z))
37.0ms	(/.f64 (*.f64 t z) (-.f64 a z))

Compiler

Compiled 6808 to 3719 computations (45.4% saved)

simplify178.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

380×	`sub-neg_binary64`
266×	`associate-/l*_binary64`
217×	`times-frac_binary64`
212×	`associate-+r+_binary64`
207×	`+-commutative_binary64`
172×	`associate-+l+_binary64`
144×	`associate--l+_binary64`
138×	`associate-l_binary64`
116×	`div-sub_binary64` `associate-*l/_binary64`
114×	`associate-r_binary64`
109×	`associate--r+_binary64`
108×	`*-commutative_binary64`
107×	`associate-/l/_binary64` `associate-/r*_binary64`
92×	`neg-sub0_binary64`
90×	`associate-/r/_binary64`
88×	`exp-sum_binary64`
86×	`unsub-neg_binary64`
84×	`neg-mul-1_binary64`
83×	`distribute-rgt-in_binary64`
79×	`associate-*r/_binary64`
69×	`distribute-lft-in_binary64`
56×	`distribute-neg-in_binary64`
54×	`log-div_binary64`
42×	`unswap-sqr_binary64`
35×	`exp-diff_binary64`
33×	`*-rgt-identity_binary64`
32×	`log-prod_binary64` `sqr-pow_binary64`
28×	`cube-div_binary64`
27×	`distribute-neg-frac_binary64`
22×	`unpow3_binary64`
20×	`cube-mult_binary64`
19×	`distribute-rgt-neg-in_binary64`
14×	`cube-unmult_binary64` `distribute-lft-neg-in_binary64`
13×	`exp-prod_binary64`
12×	`cancel-sign-sub-inv_binary64`
9×	`prod-exp_binary64`
8×	`mul-1-neg_binary64`
6×	`cube-prod_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64`
5×	`log-rec_binary64` `difference-of-squares_binary64` `associate-+r-_binary64`
3×	`div-exp_binary64` `distribute-lft-neg-out_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64`
1×	`1-exp_binary64` `div0_binary64` `*-inverses_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

202 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	5509
1	1036	4999
2	4062	4972
3	4788	4972
4	4976	4972

prune89.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	2	7	9
Picked	1	0	1
Done	0	2	2
Total	156	10	166

Error

0.9b

Counts

166 → 10

Compiler

Compiled 2929 to 496 computations (83.1% saved)

regimes2.7s (28.7%)

Accuracy

Total 4.9b remaining (85.3%)

Threshold costs 0b (0%)

Compiler

Compiled 23013 to 14990 computations (34.9% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`+-commutative_binary64`
23×	`*-commutative_binary64`
17×	`sub-neg_binary64`
12×	`neg-mul-1_binary64` `neg-sub0_binary64`
6×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	241
1	84	241
2	104	241
3	129	241
4	155	241
5	168	241
6	175	241
7	177	241
8	177	241

end2.0ms (0%)

Compiler: Compiled 159 to 54 computations (66% saved)

sample1.1s (11.9%)

Algorithm

1×

intervals

Results

280.0ms	6806×	body	128	valid
55.0ms	348×	body	1024	valid
46.0ms	452×	body	512	valid
41.0ms	1121×	body	128	invalid
23.0ms	330×	body	256	valid
11.0ms	64×	body	2048	valid

Compiler

Compiled 398 to 232 computations (41.7% saved)

Iter	Nodes	Cost
0	56	241
1	84	241
2	104	241
3	129	241
4	155	241
5	168	241
6	175	241
7	177	241
8	177	241

Iter	Nodes	Cost
0	56	241
1	84	241
2	104	241
3	129	241
4	155	241
5	168	241
6	175	241
7	177	241
8	177	241

Details

analyze1.1s (11.9%)

sample29.0ms (0.3%)

simplify77.0ms (0.8%)

prune1.0ms (0%)

localize9.0ms (0.1%)

rewrite382.0ms (4.1%)

series486.0ms (5.2%)

simplify183.0ms (2%)

prune79.0ms (0.8%)

localize13.0ms (0.1%)

rewrite228.0ms (2.4%)

series661.0ms (7.1%)

simplify200.0ms (2.1%)

prune134.0ms (1.4%)

localize16.0ms (0.2%)

rewrite157.0ms (1.7%)

series491.0ms (5.3%)

simplify262.0ms (2.8%)

prune104.0ms (1.1%)

localize17.0ms (0.2%)

rewrite163.0ms (1.7%)

series445.0ms (4.8%)

simplify178.0ms (1.9%)

prune89.0ms (1%)

regimes2.7s (28.7%)

bsearch8.0ms (0.1%)

simplify18.0ms (0.2%)

end2.0ms (0%)

sample1.1s (11.9%)

Profiling

Iter	Nodes	Cost
0	56	241
1	84	241
2	104	241
3	129	241
4	155	241
5	168	241
6	175	241
7	177	241
8	177	241