Details

analyze1.1s (11.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

890×	`times-frac_binary64`
515×	`div-sub_binary64`
502×	`unsub-neg_binary64`
319×	`distribute-rgt-in_binary64`
317×	`distribute-lft-in_binary64`
315×	`sub-neg_binary64`
225×	`distribute-rgt-neg-out_binary64`
196×	`associate-+l+_binary64`
182×	`associate-+r+_binary64`
169×	`*-commutative_binary64`
144×	`distribute-neg-in_binary64`
143×	`cancel-sign-sub-inv_binary64`
139×	`neg-sub0_binary64`
123×	`distribute-frac-neg_binary64`
112×	`associate-r_binary64`
109×	`neg-mul-1_binary64` `associate-l_binary64`
98×	`+-commutative_binary64`
73×	`distribute-neg-out_binary64`
64×	`associate-/r/_binary64`
59×	`distribute-neg-frac_binary64`
55×	`distribute-lft-neg-out_binary64`
44×	`associate-*l/_binary64`
39×	`associate-+l-_binary64` `associate-+r-_binary64`
38×	`div0_binary64`
35×	`mul0-rgt_binary64` `mul0-lft_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`associate--r+_binary64`
25×	`sub0-neg_binary64`
22×	`associate-/l_binary64` `associate-r/_binary64`
21×	`distribute-lft-neg-in_binary64`
16×	`mul-1-neg_binary64`
14×	`associate--r-_binary64`
13×	`remove-double-neg_binary64`
5×	`+-rgt-identity_binary64`
1×	`1-exp_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_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_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	119	209
2	361	209
3	1016	209
4	2802	209
5	4328	209
6	5273	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%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	209×	body	128	valid
2.0ms	13×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	18×	body	256	valid
1.0ms	27×	body	128	invalid
0.0ms	2×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

821×	`unsub-neg_binary64`
693×	`div-sub_binary64`
663×	`neg-mul-1_binary64`
635×	`neg-sub0_binary64`
593×	`sub-neg_binary64`
543×	`associate-/l*_binary64`
374×	`distribute-frac-neg_binary64`
359×	`distribute-neg-out_binary64`
353×	`distribute-neg-in_binary64`
349×	`distribute-rgt-in_binary64`
242×	`distribute-lft-in_binary64`
240×	`distribute-neg-frac_binary64`
204×	`distribute-lft-neg-out_binary64`
181×	`distribute-rgt-neg-out_binary64`
136×	`distribute-rgt-neg-in_binary64`
133×	`remove-double-neg_binary64`
130×	`associate--r+_binary64`
128×	`associate-+l+_binary64`
122×	`associate-+r+_binary64`
106×	`distribute-lft-neg-in_binary64`
103×	`associate-+l-_binary64`
102×	`cancel-sign-sub-inv_binary64`
81×	`associate--l+_binary64`
67×	`associate-/r/_binary64` `+-commutative_binary64`
60×	`times-frac_binary64` `distribute-rgt-out_binary64`
52×	`associate-r_binary64`
50×	`distribute-lft-out_binary64`
49×	`distribute-rgt-out--_binary64`
45×	`associate-l_binary64` `*-commutative_binary64`
44×	`associate-/l/_binary64`
36×	`associate-/r*_binary64`
35×	`sub0-neg_binary64`
32×	`/-rgt-identity_binary64`
31×	`associate-+r-_binary64`
29×	`div0_binary64`
28×	`mul0-rgt_binary64`
26×	`mul0-lft_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
22×	`+-rgt-identity_binary64`
19×	`*-lft-identity_binary64`
17×	`associate-*r/_binary64`
11×	`associate--r-_binary64`
10×	`remove-double-div_binary64`
8×	`associate--l-_binary64`
7×	`mul-1-neg_binary64`
4×	`*-rgt-identity_binary64` `+-lft-identity_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`--rgt-identity_binary64` `*-inverses_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` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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-lft1-in_binary64` `count-2_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	19
3	136	19
4	377	19
5	842	19
6	2007	19
7	3779	19
8	3869	19
9	4636	19
10	4915	19

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

24.4b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
3.6b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
17.1b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite139.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

19×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`frac-times_binary64` `associate-/l/_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`pow1_binary64` `add-log-exp_binary64` `times-frac_binary64` `associate-/r_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate-r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
2×	`prod-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `sub-neg_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

3 → 85

Calls

3 calls:

13.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
10.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1882 to 429 computations (77.2% saved)

series487.0ms (4.7%)

Error

0.6b

Counts

3 → 100

Calls

3 calls:

210.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
154.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
49.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

Compiler

Compiled 6793 to 3876 computations (42.9% saved)

simplify201.0ms (2%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-+r+_binary64`
272×	`associate-+l+_binary64`
217×	`associate--l+_binary64`
214×	`associate-/l*_binary64`
178×	`associate--r+_binary64`
170×	`distribute-rgt-in_binary64`
160×	`distribute-lft-in_binary64`
150×	`associate-l_binary64`
145×	`sub-neg_binary64`
133×	`times-frac_binary64`
132×	`associate-r_binary64`
125×	`+-commutative_binary64`
86×	`*-commutative_binary64`
72×	`associate-/r*_binary64`
58×	`associate-/r/_binary64`
52×	`neg-sub0_binary64` `distribute-neg-in_binary64`
47×	`associate-*l/_binary64`
46×	`neg-mul-1_binary64`
41×	`div-sub_binary64`
37×	`associate-*r/_binary64`
31×	`associate-/l/_binary64`
26×	`distribute-rgt-neg-in_binary64`
23×	`distribute-neg-frac_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`sqr-pow_binary64`
19×	`log-div_binary64`
18×	`distribute-lft-neg-in_binary64`
10×	`unpow3_binary64` `exp-prod_binary64` `mul-1-neg_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`log-prod_binary64`
7×	`exp-diff_binary64` `difference-of-squares_binary64`
6×	`exp-sum_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-rec_binary64` `cube-div_binary64`
4×	`/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
3×	`cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-prod_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate--r-_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` `log-pow_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-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64`

Counts

185 → 143

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	418	6365
1	1240	6122
2	4922	6122
3	5000	6122
4	4983	6122

prune101.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Error

0.4b

Counts

144 → 8

Compiler

Compiled 2840 to 747 computations (73.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
3.6b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite129.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

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×	`add-log-exp_binary64` `pow1_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×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64`

Counts

3 → 119

Calls

3 calls:

18.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2307 to 458 computations (80.1% saved)

series501.0ms (4.9%)

Error

0.4b

Counts

3 → 103

Calls

3 calls:

213.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
157.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
62.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 7454 to 4288 computations (42.5% saved)

simplify139.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-+r+_binary64`
300×	`associate-+l+_binary64`
267×	`associate--l+_binary64`
225×	`associate-/l*_binary64`
224×	`associate--r+_binary64`
177×	`sub-neg_binary64`
149×	`associate-l_binary64`
144×	`associate-r_binary64`
142×	`times-frac_binary64`
140×	`+-commutative_binary64`
113×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
89×	`*-commutative_binary64`
85×	`associate-/r*_binary64`
72×	`associate-*r/_binary64`
64×	`distribute-neg-in_binary64`
56×	`associate-/r/_binary64`
54×	`neg-sub0_binary64`
49×	`associate-*l/_binary64`
47×	`div-sub_binary64`
46×	`neg-mul-1_binary64`
42×	`associate-/l/_binary64`
25×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
17×	`distribute-lft-neg-in_binary64`
13×	`mul-1-neg_binary64`
7×	`unpow3_binary64`
6×	`/-rgt-identity_binary64`
5×	`cube-mult_binary64` `difference-of-squares_binary64` `distribute-lft-neg-out_binary64`
4×	`exp-prod_binary64` `cube-prod_binary64` `swap-sqr_binary64`
3×	`log-div_binary64` `log-prod_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-sum_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` `-inverses_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` `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-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_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` `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

222 → 153

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	7565
1	1357	7256
2	5164	7256

prune90.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	153	8	161

Error

0.4b

Counts

161 → 8

Compiler

Compiled 3067 to 784 computations (74.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
1.6b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite164.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

218×	`times-frac_binary64`
194×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `associate-/l/_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 3503 to 740 computations (78.9% saved)

series167.0ms (1.6%)

Error

0.4b

Counts

2 → 51

Calls

2 calls:

70.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))
60.0ms	(/.f64 (-.f64 a t) (-.f64 z t))

Compiler

Compiled 2346 to 1600 computations (31.8% saved)

simplify222.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

766×	`times-frac_binary64`
327×	`cancel-sign-sub-inv_binary64`
262×	`associate-/r/_binary64`
231×	`div-sub_binary64`
227×	`sub-neg_binary64`
198×	`associate-/l/_binary64`
165×	`associate-*l/_binary64`
164×	`*-commutative_binary64`
135×	`associate-/l*_binary64`
98×	`+-commutative_binary64`
96×	`distribute-rgt-in_binary64`
93×	`distribute-lft-in_binary64`
90×	`associate--l+_binary64`
80×	`associate-*r/_binary64`
68×	`associate-/r*_binary64`
65×	`associate--r+_binary64`
63×	`*-rgt-identity_binary64`
61×	`neg-sub0_binary64` `associate-r_binary64`
55×	`neg-mul-1_binary64`
50×	`associate-+l+_binary64`
42×	`unsub-neg_binary64`
39×	`associate-l_binary64`
38×	`unswap-sqr_binary64`
34×	`cube-prod_binary64`
33×	`associate-+r+_binary64`
29×	`exp-prod_binary64` `sqr-pow_binary64`
21×	`distribute-neg-in_binary64`
19×	`log-prod_binary64`
17×	`exp-sum_binary64`
16×	`log-div_binary64`
14×	`cube-div_binary64` `/-rgt-identity_binary64`
12×	`distribute-neg-frac_binary64`
11×	`unpow3_binary64`
9×	`cube-unmult_binary64` `*-lft-identity_binary64`
8×	`exp-diff_binary64`
7×	`cube-mult_binary64`
6×	`mul-1-neg_binary64`
5×	`difference-of-squares_binary64` `swap-sqr_binary64`
4×	`pow-plus_binary64` `remove-double-div_binary64` `distribute-rgt-neg-in_binary64` `associate--r-_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `distribute-lft-neg-in_binary64`
2×	`div0_binary64` `distribute-rgt-out_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `cube-neg_binary64` `sqr-neg_binary64` `*-inverses_binary64` `distribute-lft-neg-out_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` `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` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_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` `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-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

245 → 175

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	366	6320
1	911	6131
2	3234	6098
3	4712	6092
4	5158	6092

prune91.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	175	8	183

Error

0.4b

Counts

183 → 8

Compiler

Compiled 2643 to 638 computations (75.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)
2.1b	(*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
3.6b	(+.f64 x (*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))))
15.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))

rewrite262.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

212×	`add-sqr-sqrt_binary64`
197×	`*-un-lft-identity_binary64`
152×	`times-frac_binary64`
142×	`cbrt-prod_binary64`
95×	`unpow-prod-down_binary64` `cube-prod_binary64`
75×	`add-cube-cbrt_binary64`
71×	`associate-r_binary64`
61×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
12×	`associate-/r/_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
5×	`cube-div_binary64` `associate-l_binary64`
4×	`cbrt-div_binary64` `sqr-pow_binary64`
3×	`unpow3_binary64` `cube-mult_binary64` `pow-unpow_binary64`
2×	`frac-times_binary64` `associate-*l/_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `-commutative_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64`

Counts

4 → 270

Calls

4 calls:

37.0ms	(*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))
11.0ms	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))))

Compiler

Compiled 4138 to 1434 computations (65.3% saved)

series788.0ms (7.7%)

Error

0.4b

Counts

4 → 135

Calls

4 calls:

246.0ms	(+.f64 x (*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))))
180.0ms	(*.f64 (-.f64 y x) (cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)))
158.0ms	(pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3)
73.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 z t) (-.f64 a t)) 3))

Compiler

Compiled 11935 to 7716 computations (35.3% saved)

simplify337.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

484×	`times-frac_binary64`
250×	`+-commutative_binary64`
246×	`sub-neg_binary64`
184×	`*-commutative_binary64`
180×	`associate-+r+_binary64`
124×	`sqr-pow_binary64`
118×	`distribute-rgt-in_binary64`
113×	`distribute-lft-in_binary64`
108×	`distribute-neg-in_binary64`
104×	`associate-/l*_binary64`
99×	`associate-/r/_binary64`
77×	`neg-sub0_binary64`
63×	`neg-mul-1_binary64`
60×	`associate--l+_binary64`
56×	`unpow3_binary64`
55×	`cube-mult_binary64`
53×	`associate--r+_binary64`
44×	`cancel-sign-sub-inv_binary64` `associate-r_binary64`
41×	`cube-div_binary64`
40×	`rem-cbrt-cube_binary64`
39×	`associate-*r/_binary64`
31×	`associate-/l/_binary64`
29×	`distribute-rgt-neg-in_binary64`
28×	`div-sub_binary64`
25×	`mul-1-neg_binary64` `unswap-sqr_binary64` `distribute-neg-frac_binary64`
21×	`distribute-lft-neg-in_binary64`
14×	`log-div_binary64`
13×	`log-pow_binary64`
11×	`exp-prod_binary64` `cube-prod_binary64`
10×	`log-prod_binary64` `swap-sqr_binary64`
6×	`associate-l_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64`
4×	`unpow1_binary64` `pow-sqr_binary64` `associate-/r*_binary64`
3×	`unpow2_binary64` `rem-cube-cbrt_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
2×	`exp-diff_binary64` `exp-sum_binary64` `cube-unmult_binary64` `rem-square-sqrt_binary64` `difference-of-sqr-1_binary64`
1×	`unpow1/2_binary64` `pow-plus_binary64` `prod-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `-rgt-identity_binary64` `-inverses_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` `log-rec_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` `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` `sqr-abs_binary64` `sqr-neg_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` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_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` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

405 → 348

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	14490
1	2562	13983
2	4966	13983
3	4963	13983

prune200.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	348	8	356

Error

0.1b

Counts

356 → 8

Compiler

Compiled 6522 to 2260 computations (65.3% saved)

regimes3.7s (36.4%)

Accuracy

Total 7.4b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 24317 to 17034 computations (30% saved)

bsearch8.0ms (0.1%)

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

136×	`distribute-rgt-neg-in_binary64`
125×	`cancel-sign-sub-inv_binary64`
100×	`neg-sub0_binary64`
99×	`neg-mul-1_binary64`
96×	`distribute-lft-neg-in_binary64`
81×	`distribute-lft-neg-out_binary64`
76×	`distribute-neg-in_binary64`
65×	`unsub-neg_binary64`
62×	`distribute-rgt-neg-out_binary64`
53×	`+-commutative_binary64`
51×	`sub-neg_binary64`
47×	`*-commutative_binary64`
44×	`distribute-neg-out_binary64`
25×	`remove-double-neg_binary64`
12×	`distribute-frac-neg_binary64`
8×	`distribute-neg-frac_binary64`
1×	`1-exp_binary64` `mul-1-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` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	201
1	79	201
2	105	201
3	139	199
4	188	199
5	215	199
6	236	199
7	261	199
8	310	199
9	361	199
10	430	199
11	502	199
12	579	199
13	665	199
14	729	199
15	761	199
16	779	199
17	790	199
18	792	199
19	788	199

end4.0ms (0%)

Compiler: Compiled 134 to 46 computations (65.7% saved)

sample1.2s (11.2%)

Algorithm

1×

intervals

Results

284.0ms	6688×	body	128	valid
72.0ms	514×	body	512	valid
56.0ms	379×	body	1024	valid
52.0ms	1211×	body	128	invalid
27.0ms	356×	body	256	valid
12.0ms	63×	body	2048	valid

Compiler

Compiled 390 to 232 computations (40.5% saved)

Iter	Nodes	Cost
0	51	201
1	79	201
2	105	201
3	139	199
4	188	199
5	215	199
6	236	199
7	261	199
8	310	199
9	361	199
10	430	199
11	502	199
12	579	199
13	665	199
14	729	199
15	761	199
16	779	199
17	790	199
18	792	199
19	788	199

Iter	Nodes	Cost
0	51	201
1	79	201
2	105	201
3	139	199
4	188	199
5	215	199
6	236	199
7	261	199
8	310	199
9	361	199
10	430	199
11	502	199
12	579	199
13	665	199
14	729	199
15	761	199
16	779	199
17	790	199
18	792	199
19	788	199

Details

analyze1.1s (11.1%)

sample29.0ms (0.3%)

simplify95.0ms (0.9%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite139.0ms (1.4%)

series487.0ms (4.7%)

simplify201.0ms (2%)

prune101.0ms (1%)

localize9.0ms (0.1%)

rewrite129.0ms (1.3%)

series501.0ms (4.9%)

simplify139.0ms (1.4%)

prune90.0ms (0.9%)

localize8.0ms (0.1%)

rewrite164.0ms (1.6%)

series167.0ms (1.6%)

simplify222.0ms (2.2%)

prune91.0ms (0.9%)

localize12.0ms (0.1%)

rewrite262.0ms (2.6%)

series788.0ms (7.7%)

simplify337.0ms (3.3%)

prune200.0ms (1.9%)

regimes3.7s (36.4%)

bsearch8.0ms (0.1%)

simplify41.0ms (0.4%)

end4.0ms (0%)

sample1.2s (11.2%)

Profiling

Iter	Nodes	Cost
0	51	201
1	79	201
2	105	201
3	139	199
4	188	199
5	215	199
6	236	199
7	261	199
8	310	199
9	361	199
10	430	199
11	502	199
12	579	199
13	665	199
14	729	199
15	761	199
16	779	199
17	790	199
18	792	199
19	788	199