Details

analyze1.1s (11.1%)

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` `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)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	222×	body	128	valid
2.0ms	12×	body	1024	valid
2.0ms	40×	body	128	invalid
1.0ms	8×	body	512	valid
1.0ms	11×	body	256	valid
1.0ms	3×	body	2048	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` `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

13.6b

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))
4.5b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
6.1b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite159.0ms (1.6%)

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:

19.0ms	(*.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)

series543.0ms (5.4%)

Error

0.8b

Counts

3 → 115

Calls

3 calls:

208.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
161.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
82.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 8501 to 4891 computations (42.5% saved)

simplify155.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-+l+_binary64`
294×	`associate--l+_binary64`
275×	`associate--r+_binary64`
246×	`associate-/l*_binary64`
216×	`times-frac_binary64`
188×	`sub-neg_binary64`
181×	`+-commutative_binary64`
166×	`associate-l_binary64`
156×	`associate-r_binary64`
130×	`associate-+r+_binary64`
115×	`associate-/r*_binary64`
112×	`distribute-rgt-in_binary64`
108×	`distribute-lft-in_binary64`
93×	`*-commutative_binary64`
82×	`distribute-neg-in_binary64`
72×	`associate-*r/_binary64`
69×	`associate-/r/_binary64`
55×	`neg-sub0_binary64`
49×	`div-sub_binary64` `associate-*l/_binary64`
47×	`neg-mul-1_binary64`
43×	`associate-/l/_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64`
19×	`sqr-pow_binary64`
18×	`distribute-neg-frac_binary64`
14×	`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`
4×	`exp-prod_binary64` `cube-prod_binary64` `swap-sqr_binary64` `distribute-lft-neg-out_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`
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` `+-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

234 → 147

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	531	8665
1	1500	8398
2	5357	8398

prune89.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	138	9	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	10	148

Error

0.8b

Counts

148 → 10

Compiler

Compiled 3177 to 859 computations (73% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 a z))
0.0b	(*.f64 (-.f64 t x) (-.f64 y z))
4.5b	(+.f64 x (.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z))))
14.5b	(.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z)))

rewrite194.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

47×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64`
30×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
26×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64`
14×	`associate-*l/_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64` `associate-*r/_binary64`
6×	`div-exp_binary64` `add-log-exp_binary64` `associate-l_binary64` `cancel-sign-sub-inv_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`div-inv_binary64` `*-commutative_binary64` `sub-neg_binary64`
1×	`un-div-inv_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 152

Calls

4 calls:

18.0ms	(.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z)))
14.0ms	(*.f64 (-.f64 t x) (-.f64 y z))
6.0ms	(/.f64 1 (-.f64 a z))
4.0ms	(+.f64 x (.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z))))

Compiler

Compiled 3528 to 1163 computations (67% saved)

series530.0ms (5.3%)

Error

0.8b

Counts

4 → 127

Calls

4 calls:

209.0ms	(+.f64 x (.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z))))
159.0ms	(.f64 (.f64 (-.f64 t x) (-.f64 y z)) (/.f64 1 (-.f64 a z)))
50.0ms	(*.f64 (-.f64 t x) (-.f64 y z))
34.0ms	(/.f64 1 (-.f64 a z))

Compiler

Compiled 8440 to 4958 computations (41.3% saved)

simplify161.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

336×	`associate-l_binary64`
277×	`associate-r_binary64`
257×	`associate--l+_binary64`
238×	`associate-/l*_binary64`
235×	`associate--r+_binary64`
180×	`times-frac_binary64`
173×	`+-commutative_binary64`
159×	`sub-neg_binary64`
157×	`distribute-rgt-in_binary64`
141×	`distribute-lft-in_binary64`
126×	`*-commutative_binary64`
124×	`associate-+r+_binary64`
86×	`associate-/r*_binary64`
78×	`distribute-neg-in_binary64` `associate-/r/_binary64`
74×	`associate-*r/_binary64`
62×	`neg-sub0_binary64`
56×	`neg-mul-1_binary64`
33×	`distribute-rgt-neg-in_binary64` `associate-*l/_binary64`
29×	`cancel-sign-sub-inv_binary64`
23×	`distribute-lft-neg-in_binary64`
22×	`sqr-pow_binary64` `distribute-neg-frac_binary64`
17×	`div-sub_binary64`
16×	`*-rgt-identity_binary64` `associate-/l/_binary64`
11×	`mul-1-neg_binary64`
10×	`exp-prod_binary64` `distribute-lft-neg-out_binary64`
9×	`swap-sqr_binary64`
8×	`log-prod_binary64` `unpow3_binary64`
7×	`cube-prod_binary64` `difference-of-squares_binary64`
6×	`cube-mult_binary64` `unsub-neg_binary64` `distribute-rgt-neg-out_binary64`
5×	`associate-+r-_binary64`
4×	`cube-unmult_binary64` `/-rgt-identity_binary64` `associate-+l+_binary64`
2×	`log-div_binary64` `unpow2_binary64` `unpow1_binary64` `cube-div_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `+-rgt-identity_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-pow_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-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `remove-double-neg_binary64` `sub0-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` `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` `associate-+l-_binary64`

Counts

279 → 229

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	8835
1	1561	8547
2	5026	8547

prune133.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	228	1	229
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	228	11	239

Error

0.8b

Counts

239 → 11

Compiler

Compiled 4347 to 1224 computations (71.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 t x) (-.f64 y z))
3.5b	(+.f64 x (/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z)))
14.5b	(/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z))

rewrite106.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

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

Compiler

Compiled 1882 to 429 computations (77.2% saved)

series487.0ms (4.8%)

Error

0.8b

Counts

3 → 106

Calls

3 calls:

212.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z)))
159.0ms	(/.f64 (*.f64 (-.f64 t x) (-.f64 y z)) (-.f64 a z))
49.0ms	(*.f64 (-.f64 t x) (-.f64 y z))

Compiler

Compiled 7607 to 4320 computations (43.2% saved)

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

379×	`associate-+l+_binary64`
258×	`associate--l+_binary64`
238×	`associate-/l*_binary64`
230×	`associate--r+_binary64`
195×	`times-frac_binary64`
171×	`distribute-rgt-in_binary64`
165×	`associate-l_binary64`
164×	`sub-neg_binary64`
162×	`+-commutative_binary64`
161×	`distribute-lft-in_binary64`
152×	`associate-r_binary64`
120×	`associate-+r+_binary64`
92×	`*-commutative_binary64`
90×	`associate-/r*_binary64`
66×	`distribute-neg-in_binary64`
63×	`associate-/r/_binary64`
56×	`neg-sub0_binary64`
50×	`neg-mul-1_binary64`
47×	`div-sub_binary64` `associate-*l/_binary64`
37×	`associate-*r/_binary64`
36×	`associate-/l/_binary64`
26×	`distribute-rgt-neg-in_binary64`
24×	`distribute-neg-frac_binary64`
22×	`cancel-sign-sub-inv_binary64`
21×	`sqr-pow_binary64`
18×	`distribute-lft-neg-in_binary64`
10×	`mul-1-neg_binary64`
9×	`distribute-lft-neg-out_binary64`
8×	`unpow3_binary64`
7×	`difference-of-squares_binary64`
6×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
5×	`log-div_binary64` `cube-div_binary64`
4×	`exp-prod_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `associate-+r-_binary64`
3×	`log-prod_binary64` `cube-unmult_binary64`
2×	`unpow2_binary64` `unpow1_binary64` `exp-diff_binary64` `distribute-rgt-out_binary64`
1×	`prod-exp_binary64` `exp-sum_binary64` `1-exp_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` `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-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

191 → 164

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	7250
1	1394	7001
2	5152	7001

prune92.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	164	11	175

Error

0.8b

Counts

175 → 11

Compiler

Compiled 3429 to 894 computations (73.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z)))
0.0b	(/.f64 y (-.f64 a z))
0.0b	(/.f64 z (-.f64 a z))
2.0b	(*.f64 t (-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z))))

rewrite283.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

143×	`*-un-lft-identity_binary64`
125×	`add-sqr-sqrt_binary64`
111×	`times-frac_binary64`
63×	`cancel-sign-sub-inv_binary64`
57×	`add-cube-cbrt_binary64`
41×	`distribute-lft-out--_binary64`
29×	`difference-of-squares_binary64`
22×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
18×	`associate-/r/_binary64` `associate-r_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r*_binary64`
9×	`div-inv_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64`
4×	`associate-*r/_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`frac-sub_binary64` `sub-div_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64`

Counts

4 → 204

Calls

4 calls:

41.0ms	(*.f64 t (-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z))))
31.0ms	(-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z)))
6.0ms	(/.f64 z (-.f64 a z))
5.0ms	(/.f64 y (-.f64 a z))

Compiler

Compiled 4340 to 978 computations (77.5% saved)

series299.0ms (3%)

Error

0.8b

Counts

4 → 101

Calls

4 calls:

99.0ms	(*.f64 t (-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z))))
66.0ms	(-.f64 (/.f64 z (-.f64 a z)) (/.f64 y (-.f64 a z)))
41.0ms	(/.f64 y (-.f64 a z))
36.0ms	(/.f64 z (-.f64 a z))

Compiler

Compiled 4230 to 3034 computations (28.3% saved)

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

455×	`sub-neg_binary64`
279×	`associate-l_binary64`
268×	`associate-r_binary64`
226×	`*-commutative_binary64`
217×	`associate-/l*_binary64`
211×	`neg-sub0_binary64`
174×	`neg-mul-1_binary64`
157×	`associate--r+_binary64`
151×	`+-commutative_binary64`
150×	`times-frac_binary64` `associate-*l/_binary64`
130×	`associate-*r/_binary64`
116×	`associate--l+_binary64`
103×	`unsub-neg_binary64`
98×	`div-sub_binary64`
92×	`associate-+l+_binary64`
79×	`distribute-rgt-in_binary64`
78×	`associate-/r*_binary64`
74×	`associate-+r+_binary64`
66×	`distribute-lft-neg-out_binary64`
64×	`distribute-lft-in_binary64`
62×	`associate-/l/_binary64` `associate-/r/_binary64`
58×	`distribute-neg-in_binary64`
51×	`distribute-rgt-neg-out_binary64`
39×	`distribute-neg-frac_binary64`
29×	`distribute-rgt-neg-in_binary64`
25×	`exp-prod_binary64`
17×	`sqr-pow_binary64`
16×	`associate-+r-_binary64`
14×	`cancel-sign-sub-inv_binary64`
11×	`log-prod_binary64` `distribute-lft-neg-in_binary64`
10×	`mul-1-neg_binary64`
9×	`cube-prod_binary64`
8×	`cube-div_binary64`
7×	`cube-unmult_binary64`
6×	`log-div_binary64` `unpow3_binary64` `/-rgt-identity_binary64`
5×	`exp-diff_binary64` `exp-sum_binary64`
4×	`cube-mult_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
3×	`rem-sqrt-square_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `*-rgt-identity_binary64` `distribute-rgt-out_binary64`
1×	`log-pow_binary64` `div-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `*-inverses_binary64` `distribute-rgt-out--_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` `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` `rec-exp_binary64` `prod-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` `*-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-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l-_binary64`

Counts

305 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	7153
1	1155	7000
2	4397	6481
3	5043	6481

prune76.0ms (0.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	193	2	195
Fresh	0	7	7
Picked	1	0	1
Done	0	3	3
Total	194	12	206

Error

0.8b

Counts

206 → 12

Compiler

Compiled 2145 to 589 computations (72.5% saved)

regimes4.0s (39.8%)

Accuracy

Total 4.7b remaining (83.8%)

Threshold costs 0b (0%)

Compiler

Compiled 26832 to 19505 computations (27.3% saved)

bsearch10.0ms (0.1%)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`unsub-neg_binary64` `distribute-neg-frac_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` `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	37	123
1	56	123
2	72	123
3	88	123
4	110	123
5	122	123
6	130	123
7	133	123
8	133	123

end1.0ms (0%)

Compiler: Compiled 83 to 35 computations (57.8% saved)

sample1.1s (11.3%)

Algorithm

1×

intervals

Results

284.0ms	6683×	body	128	valid
54.0ms	1206×	body	128	invalid
54.0ms	370×	body	1024	valid
53.0ms	497×	body	512	valid
33.0ms	381×	body	256	valid
13.0ms	69×	body	2048	valid

Compiler

Compiled 312 to 234 computations (25% saved)

Details

analyze1.1s (11.1%)

sample36.0ms (0.4%)

simplify77.0ms (0.8%)

prune1.0ms (0%)

localize9.0ms (0.1%)

rewrite159.0ms (1.6%)

series543.0ms (5.4%)

simplify155.0ms (1.5%)

prune89.0ms (0.9%)

localize11.0ms (0.1%)

rewrite194.0ms (1.9%)

series530.0ms (5.3%)

simplify161.0ms (1.6%)

prune133.0ms (1.3%)

localize9.0ms (0.1%)

rewrite106.0ms (1.1%)

series487.0ms (4.8%)

simplify129.0ms (1.3%)

prune92.0ms (0.9%)

localize9.0ms (0.1%)

rewrite283.0ms (2.8%)

series299.0ms (3%)

simplify192.0ms (1.9%)

prune76.0ms (0.8%)

regimes4.0s (39.8%)

bsearch10.0ms (0.1%)

simplify9.0ms (0.1%)

end1.0ms (0%)

sample1.1s (11.3%)

Profiling