Details

analyze708.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

1147×	`associate-/l*_binary64`
581×	`*-commutative_binary64`
539×	`times-frac_binary64`
459×	`sqr-pow_binary64`
450×	`cube-prod_binary64`
447×	`distribute-rgt-in_binary64`
414×	`associate-/l/_binary64`
397×	`associate-/r*_binary64`
395×	`distribute-lft-in_binary64`
297×	`associate-/r/_binary64`
261×	`associate-l_binary64`
243×	`pow-sqr_binary64`
228×	`associate-r_binary64`
222×	`unswap-sqr_binary64`
168×	`pow-plus_binary64`
161×	`remove-double-div_binary64`
142×	`associate-*l/_binary64`
126×	`*-lft-identity_binary64`
117×	`*-rgt-identity_binary64`
102×	`cube-unmult_binary64`
78×	`unpow3_binary64` `cube-mult_binary64`
63×	`associate-*r/_binary64`
44×	`distribute-rgt-out_binary64`
27×	`/-rgt-identity_binary64`
15×	`+-commutative_binary64`
9×	`cube-div_binary64`
6×	`swap-sqr_binary64`
4×	`distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`1-exp_binary64` `swap-x-y`
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` `unpow2_binary64` `unpow1/2_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-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` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	81	64
2	222	64
3	538	64
4	1329	64
5	1351	64
6	1477	64
7	1640	64
8	1729	64
9	1648	64
10	2210	64
11	2226	64
12	2396	64
13	2414	64
14	2417	64
15	2504	64
16	2471	64
17	2380	64
18	2395	64
19	2410	64
20	2869	64
21	3572	64
22	4014	64
23	5331	64
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	51×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

900×	`associate-*r/_binary64`
817×	`associate-/l/_binary64`
749×	`associate-*l/_binary64`
522×	`associate-/l*_binary64`
413×	`associate-/r/_binary64`
395×	`*-commutative_binary64`
352×	`sqr-pow_binary64`
208×	`unswap-sqr_binary64`
202×	`associate-/r*_binary64`
140×	`pow-sqr_binary64`
126×	`cube-prod_binary64`
93×	`*-rgt-identity_binary64`
88×	`associate-r_binary64`
78×	`associate-l_binary64`
64×	`unpow3_binary64`
61×	`times-frac_binary64`
60×	`cube-mult_binary64`
49×	`distribute-rgt-in_binary64`
48×	`*-lft-identity_binary64`
46×	`pow-plus_binary64`
35×	`distribute-lft-in_binary64`
30×	`/-rgt-identity_binary64`
18×	`distribute-rgt-out_binary64`
13×	`rem-sqrt-square_binary64`
11×	`cube-unmult_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
2×	`distribute-lft-out_binary64`
1×	`1-exp_binary64` `+-commutative_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` `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` `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-div_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-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	30	16
2	76	16
3	185	16
4	299	16
5	359	16
6	373	16
7	549	16
8	904	16
9	2095	16
10	2637	16
11	2621	16
12	2733	16
13	2915	16
14	3008	16
15	3765	16
16	5346	16

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

16.2b

Counts

1 → 1

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
15.8b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite88.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.6b

Rules

28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`prod-exp_binary64` `cbrt-unprod_binary64`
7×	`pow1_binary64`
6×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64` `associate-r/_binary64` `associate-r*_binary64`
3×	`add-cube-cbrt_binary64` `pow-prod-down_binary64`
2×	`add-log-exp_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

10.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1))

Compiler

Compiled 961 to 430 computations (55.3% saved)

series76.0ms (0.7%)

Error

16.2b

Counts

2 → 24

Calls

2 calls:

55.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
12.0ms	(.f64 (.f64 z z) (+.f64 z 1))

Compiler

Compiled 589 to 417 computations (29.2% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-*l/_binary64`
397×	`associate-/l/_binary64`
289×	`times-frac_binary64`
250×	`distribute-rgt-in_binary64`
231×	`associate-/r/_binary64`
204×	`distribute-lft-in_binary64`
146×	`cancel-sign-sub-inv_binary64`
144×	`associate-/l*_binary64`
129×	`associate-/r*_binary64`
123×	`associate-l_binary64`
110×	`log-div_binary64`
88×	`associate-r_binary64`
83×	`cube-div_binary64`
70×	`log-prod_binary64`
58×	`sub-neg_binary64`
55×	`*-commutative_binary64`
48×	`distribute-rgt-neg-in_binary64`
45×	`cube-prod_binary64`
43×	`distribute-lft-neg-in_binary64`
42×	`unswap-sqr_binary64`
38×	`exp-prod_binary64`
32×	`distribute-rgt-out_binary64`
27×	`sqr-pow_binary64`
26×	`+-commutative_binary64`
23×	`unpow3_binary64`
22×	`neg-mul-1_binary64` `neg-sub0_binary64` `swap-sqr_binary64`
21×	`cube-mult_binary64`
20×	`associate-*r/_binary64`
19×	`distribute-neg-in_binary64`
18×	`associate--r+_binary64`
17×	`unsub-neg_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
16×	`distribute-neg-frac_binary64`
13×	`*-lft-identity_binary64`
11×	`cube-unmult_binary64`
10×	`*-rgt-identity_binary64`
8×	`log-rec_binary64`
6×	`pow-plus_binary64` `exp-sum_binary64` `div-sub_binary64` `associate-+l+_binary64`
5×	`/-rgt-identity_binary64`
4×	`distribute-lft-neg-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
3×	`log-pow_binary64`
2×	`unpow1/2_binary64` `distribute-rgt-neg-out_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_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` `unpow1/3_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-diff_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-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` `mul-1-neg_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

75 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1493
1	337	1209
2	1625	1149
3	4704	1149
4	4987	1149
5	4961	1149

prune45.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Error

2.8b

Counts

63 → 8

Compiler

Compiled 655 to 339 computations (48.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
3.1b	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
9.0b	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))

rewrite321.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

243×	`times-frac_binary64`
132×	`*-un-lft-identity_binary64`
88×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
45×	`associate-/r*_binary64`
35×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`distribute-lft-out_binary64`
20×	`associate-/r/_binary64`
18×	`div-exp_binary64` `cbrt-undiv_binary64`
13×	`div-inv_binary64`
7×	`flip3-+_binary64` `flip-+_binary64` `associate-/l*_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64`
3×	`pow1_binary64` `add-log-exp_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 205

Calls

3 calls:

12.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
9.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 y (+.f64 z 1))

Compiler

Compiled 3914 to 2092 computations (46.6% saved)

series138.0ms (1.3%)

Error

2.8b

Counts

3 → 42

Calls

3 calls:

55.0ms	(/.f64 x (/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1))))
28.0ms	(/.f64 (*.f64 z z) (/.f64 y (+.f64 z 1)))
25.0ms	(/.f64 y (+.f64 z 1))

Compiler

Compiled 1125 to 775 computations (31.1% saved)

simplify196.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

306×	`associate-/r/_binary64`
304×	`sub-neg_binary64`
267×	`distribute-rgt-in_binary64`
254×	`associate-/l/_binary64`
253×	`associate-/l*_binary64`
246×	`cancel-sign-sub-inv_binary64`
227×	`distribute-lft-in_binary64` `associate-*l/_binary64`
197×	`associate-/r*_binary64`
161×	`*-commutative_binary64`
154×	`times-frac_binary64`
137×	`associate-l_binary64`
104×	`associate-*r/_binary64`
92×	`log-div_binary64`
86×	`cube-prod_binary64`
84×	`log-prod_binary64` `unsub-neg_binary64`
76×	`cube-div_binary64` `distribute-rgt-neg-in_binary64`
72×	`neg-sub0_binary64`
70×	`neg-mul-1_binary64`
68×	`*-rgt-identity_binary64` `distribute-lft-neg-in_binary64`
58×	`associate-r_binary64`
56×	`associate--l+_binary64`
55×	`associate-+l-_binary64`
52×	`distribute-neg-frac_binary64` `associate--r+_binary64`
49×	`div-sub_binary64`
44×	`+-commutative_binary64`
41×	`distribute-rgt-out_binary64`
40×	`exp-prod_binary64`
37×	`*-lft-identity_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64`
31×	`/-rgt-identity_binary64` `unswap-sqr_binary64`
26×	`unpow3_binary64`
24×	`cube-mult_binary64`
22×	`swap-sqr_binary64`
21×	`sqr-pow_binary64` `distribute-lft-out--_binary64`
15×	`associate--r-_binary64`
14×	`log-rec_binary64` `exp-sum_binary64` `remove-double-div_binary64`
13×	`associate--l-_binary64`
11×	`distribute-lft-out_binary64`
10×	`cube-unmult_binary64`
7×	`associate-+l+_binary64`
6×	`distribute-lft-neg-out_binary64`
5×	`distribute-rgt1-in_binary64`
4×	`pow-plus_binary64`
3×	`mul-1-neg_binary64`
2×	`log-pow_binary64` `remove-double-neg_binary64` `div0_binary64` `distribute-lft1-in_binary64` `associate-+r-_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_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` `unpow1/3_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-diff_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-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Counts

247 → 189

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	341	5578
1	788	5184
2	3098	5055
3	4452	5043
4	5049	5043

prune169.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	181	8	189
Fresh	7	0	7
Picked	0	1	1
Done	0	0	0
Total	188	9	197

Error

0.0b

Counts

197 → 9

Compiler

Compiled 2424 to 1190 computations (50.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
9.0b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
9.0b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
9.0b	(cbrt.f64 (/.f64 y (+.f64 z 1)))

rewrite632.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

636×	`times-frac_binary64`
383×	`*-un-lft-identity_binary64`
293×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
270×	`cbrt-prod_binary64`
68×	`associate-/r*_binary64`
45×	`distribute-lft-out_binary64`
35×	`associate-/r/_binary64`
20×	`div-inv_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`cbrt-div_binary64`
4×	`pow1_binary64` `add-log-exp_binary64`
3×	`pow1/3_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l*_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 371

Calls

4 calls:

19.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 13344 to 8303 computations (37.8% saved)

series319.0ms (3%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

94.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
51.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
51.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
49.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 4817 to 3648 computations (24.3% saved)

simplify405.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

573×	`associate-/r/_binary64`
489×	`associate-/l/_binary64`
422×	`associate-*l/_binary64`
407×	`*-commutative_binary64`
246×	`associate-*r/_binary64`
218×	`associate-/l*_binary64`
192×	`associate-r_binary64`
124×	`times-frac_binary64`
101×	`associate-/r*_binary64`
100×	`associate-l_binary64`
45×	`neg-sub0_binary64`
44×	`neg-mul-1_binary64`
42×	`+-commutative_binary64`
39×	`sub-neg_binary64`
38×	`log-prod_binary64`
36×	`cancel-sign-sub-inv_binary64`
31×	`log-div_binary64`
29×	`unsub-neg_binary64`
28×	`exp-prod_binary64`
27×	`exp-sum_binary64`
24×	`associate--l+_binary64`
17×	`associate--r+_binary64`
16×	`remove-double-div_binary64`
15×	`div-sub_binary64`
14×	`sqr-pow_binary64`
13×	`exp-diff_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-rgt-in_binary64`
11×	`cube-prod_binary64` `distribute-lft-in_binary64`
10×	`distribute-lft-neg-in_binary64`
9×	`distribute-neg-in_binary64` `associate-+l+_binary64`
8×	`log-pow_binary64` `cube-div_binary64` `/-rgt-identity_binary64` `unswap-sqr_binary64` `distribute-rgt-out_binary64`
6×	`log-rec_binary64` `unpow1/3_binary64` `exp-neg_binary64` `cube-unmult_binary64` `associate-+l-_binary64`
5×	`exp-to-pow_binary64` `swap-sqr_binary64`
4×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64` `associate-+r-_binary64`
3×	`distribute-rgt1-in_binary64` `distribute-rgt-out--_binary64` `associate--r-_binary64`
2×	`*-rgt-identity_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `associate--l-_binary64`
1×	`unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_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` `pow-plus_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` `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-square-sqrt_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` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Counts

422 → 405

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	13133
1	1427	12375
2	4723	12289
3	4979	12289
4	4976	12289

prune510.0ms (4.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	404	10	414

Error

0.0b

Counts

414 → 10

Compiler

Compiled 13170 to 8126 computations (38.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(*.f64 (/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1))))) (cbrt.f64 (/.f64 y (+.f64 z 1))))
1.9b	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
9.0b	(cbrt.f64 (/.f64 y (+.f64 z 1)))
9.0b	(cbrt.f64 (/.f64 y (+.f64 z 1)))

rewrite1.2s (11%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1166×	`times-frac_binary64`
654×	`*-un-lft-identity_binary64`
569×	`add-sqr-sqrt_binary64`
510×	`add-cube-cbrt_binary64`
448×	`cbrt-prod_binary64`
209×	`associate-l_binary64`
72×	`distribute-lft-out_binary64`
68×	`associate-/r*_binary64`
57×	`associate-/r/_binary64`
33×	`div-inv_binary64`
24×	`flip3-+_binary64` `flip-+_binary64`
21×	`associate-r_binary64`
18×	`add-exp-log_binary64`
15×	`unswap-sqr_binary64`
13×	`add-cbrt-cube_binary64`
11×	`cbrt-div_binary64`
6×	`pow1_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/l*_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
2×	`pow1/3_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 607

Calls

4 calls:

100.0ms	(*.f64 (/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1))))) (cbrt.f64 (/.f64 y (+.f64 z 1))))
22.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
5.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 23122 to 13901 computations (39.9% saved)

series397.0ms (3.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

122.0ms	(*.f64 (/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1))))) (cbrt.f64 (/.f64 y (+.f64 z 1))))
92.0ms	(/.f64 x (/.f64 z (cbrt.f64 (/.f64 y (+.f64 z 1)))))
53.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))
51.0ms	(cbrt.f64 (/.f64 y (+.f64 z 1)))

Compiler

Compiled 5129 to 3926 computations (23.5% saved)

simplify499.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

747×	`associate-/r/_binary64`
623×	`associate-/l/_binary64`
491×	`associate-/l*_binary64`
256×	`*-commutative_binary64`
186×	`associate-*l/_binary64`
180×	`times-frac_binary64`
55×	`cancel-sign-sub-inv_binary64`
54×	`sub-neg_binary64`
30×	`sqr-pow_binary64`
27×	`exp-prod_binary64`
26×	`neg-sub0_binary64`
25×	`log-div_binary64` `neg-mul-1_binary64`
23×	`+-commutative_binary64`
22×	`distribute-rgt-in_binary64`
21×	`distribute-rgt-neg-in_binary64`
20×	`distribute-lft-in_binary64`
18×	`distribute-lft-neg-in_binary64`
16×	`remove-double-div_binary64` `associate-*r/_binary64`
15×	`distribute-rgt-out_binary64`
14×	`log-prod_binary64` `associate-r_binary64`
13×	`distribute-neg-in_binary64`
12×	`exp-sum_binary64` `associate--l+_binary64`
11×	`associate-/r_binary64` `associate-l*_binary64`
9×	`unswap-sqr_binary64` `swap-sqr_binary64`
8×	`log-pow_binary64` `/-rgt-identity_binary64`
6×	`distribute-rgt-neg-out_binary64` `associate--r+_binary64`
5×	`log-rec_binary64` `cube-unmult_binary64` `distribute-neg-frac_binary64`
4×	`unpow1/3_binary64` `unpow2_binary64` `unpow1_binary64` `*-rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out--_binary64`
3×	`unsub-neg_binary64` `distribute-rgt1-in_binary64`
2×	`cube-prod_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
1×	`unpow3_binary64` `1-exp_binary64` `cube-mult_binary64` `rem-3cbrt-lft_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `*-lft-identity_binary64` `remove-double-neg_binary64` `difference-of-sqr-1_binary64` `associate--r-_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` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_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` `difference-of-sqr--1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--l-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

661 → 644

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	925	21375
1	2225	20598
2	4992	20580
3	4994	20580

prune885.0ms (8.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	642	2	644
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	644	10	654

Error

0.0b

Counts

654 → 10

Compiler

Compiled 22787 to 13516 computations (40.7% saved)

regimes2.5s (23.4%)

Accuracy

Total 1.1b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 35167 to 26453 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64 +-commutative_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 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-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-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 *-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	19	46
2	18	46

end8.0ms (0.1%)

Compiler: Compiled 87 to 63 computations (27.6% saved)

sample1.2s (11.5%)

Algorithm

1×

intervals

Results

277.0ms	8000×	body	128	valid
49.0ms	1481×	body	128	invalid

Compiler

Compiled 285 to 230 computations (19.3% saved)

Details

analyze708.0ms (6.8%)

sample30.0ms (0.3%)

simplify94.0ms (0.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite88.0ms (0.8%)

series76.0ms (0.7%)

simplify98.0ms (0.9%)

prune45.0ms (0.4%)

localize7.0ms (0.1%)

rewrite321.0ms (3.1%)

series138.0ms (1.3%)

simplify196.0ms (1.9%)

prune169.0ms (1.6%)

localize14.0ms (0.1%)

rewrite632.0ms (6%)

series319.0ms (3%)

simplify405.0ms (3.9%)

prune510.0ms (4.9%)

localize17.0ms (0.2%)

rewrite1.2s (11%)

series397.0ms (3.8%)

simplify499.0ms (4.8%)

prune885.0ms (8.4%)

regimes2.5s (23.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end8.0ms (0.1%)

sample1.2s (11.5%)

Profiling