Details

analyze152.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Rules

1268×	`sqr-pow_binary64`
651×	`pow-sqr_binary64`
362×	`unswap-sqr_binary64`
275×	`cube-prod_binary64`
201×	`unpow3_binary64`
198×	`cube-mult_binary64`
186×	`associate-l_binary64`
137×	`*-commutative_binary64`
124×	`associate-r_binary64`
48×	`pow-plus_binary64`
16×	`rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
9×	`cube-unmult_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`+-commutative_binary64`
2×	`distribute-lft1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `distribute-lft-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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_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	5	10
1	14	10
2	26	10
3	38	10
4	51	10
5	75	10
6	148	10
7	371	10
8	636	10
9	642	10
10	772	10
11	926	10
12	1143	10
13	1441	10
14	1814	10
15	2257	10
16	2780	10
17	3000	10
18	3070	10
19	3080	10
20	3082	10
21	3082	10
22	3651	10
23	4292	10
24	4762	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify142.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1268×	`sqr-pow_binary64`
651×	`pow-sqr_binary64`
362×	`unswap-sqr_binary64`
275×	`cube-prod_binary64`
201×	`unpow3_binary64`
198×	`cube-mult_binary64`
186×	`associate-l_binary64`
137×	`*-commutative_binary64`
124×	`associate-r_binary64`
48×	`pow-plus_binary64`
16×	`rem-sqrt-square_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
9×	`cube-unmult_binary64`
6×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
3×	`+-commutative_binary64`
2×	`distribute-lft1-in_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `distribute-lft-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` `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` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-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` `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-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	14	10
2	26	10
3	38	10
4	51	10
5	75	10
6	148	10
7	371	10
8	636	10
9	642	10
10	772	10
11	926	10
12	1143	10
13	1441	10
14	1814	10
15	2257	10
16	2780	10
17	3000	10
18	3070	10
19	3080	10
20	3082	10
21	3082	10
22	3651	10
23	4292	10
24	4762	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
2×	`cube-mult_binary64`
1×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip3-+_binary64` `*-un-lft-identity_binary64` `flip-+_binary64` `distribute-rgt1-in_binary64` `unpow3_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

1 → 14

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 192 to 100 computations (47.9% saved)

series17.0ms (0.3%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

13.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 64 to 55 computations (14.1% saved)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-out_binary64`
403×	`unswap-sqr_binary64`
331×	`distribute-rgt-neg-in_binary64`
281×	`distribute-lft-out_binary64`
262×	`distribute-rgt-in_binary64`
238×	`associate-l_binary64`
226×	`distribute-lft-in_binary64`
223×	`cancel-sign-sub-inv_binary64`
196×	`associate-r_binary64`
149×	`sub-neg_binary64`
124×	`unsub-neg_binary64`
113×	`difference-of-squares_binary64`
96×	`exp-prod_binary64`
91×	`distribute-rgt-out--_binary64`
89×	`sqr-pow_binary64`
86×	`associate-+l+_binary64`
77×	`distribute-lft-neg-in_binary64` `associate-+r+_binary64`
66×	`neg-mul-1_binary64`
65×	`neg-sub0_binary64`
60×	`log-prod_binary64`
56×	`*-commutative_binary64`
49×	`cube-prod_binary64`
44×	`distribute-rgt1-in_binary64`
42×	`distribute-lft-neg-out_binary64`
41×	`pow-plus_binary64` `distribute-neg-in_binary64`
40×	`unpow3_binary64` `distribute-lft-out--_binary64`
39×	`swap-sqr_binary64`
29×	`distribute-rgt-neg-out_binary64`
27×	`associate-+l-_binary64`
25×	`distribute-lft1-in_binary64`
24×	`pow-sqr_binary64`
21×	`+-commutative_binary64`
19×	`sub0-neg_binary64`
18×	`associate-+r-_binary64`
17×	`log-pow_binary64`
14×	`+-rgt-identity_binary64`
13×	`exp-sum_binary64` `cube-unmult_binary64` `-rgt-identity_binary64` `-lft-identity_binary64`
12×	`distribute-neg-out_binary64`
11×	`mul0-rgt_binary64` `mul0-lft_binary64`
9×	`cube-mult_binary64`
6×	`+-lft-identity_binary64` `associate-/l*_binary64`
5×	`cancel-sign-sub_binary64` `associate--r+_binary64`
4×	`difference-of-sqr-1_binary64` `associate--l+_binary64`
3×	`unpow2_binary64`
2×	`unpow1_binary64` `associate-/l/_binary64` `associate-*r/_binary64`
1×	`unpow1/2_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `times-frac_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` `log-rec_binary64` `log-div_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-diff_binary64` `exp-neg_binary64` `e-exp-1_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` `mul-1-neg_binary64` `/-rgt-identity_binary64` `--rgt-identity_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `count-2_binary64` `associate-l/_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

20 → 8

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	253
1	95	223
2	320	220
3	1255	220
4	4057	217
5	4878	217
6	4987	217
7	4919	217

prune7.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 2

Compiler

Compiled 78 to 50 computations (35.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
0.0b	(-.f64 (*.f64 x x) (pow.f64 x 3))
46.0b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite236.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

209×	`add-sqr-sqrt_binary64`
159×	`difference-of-squares_binary64`
117×	`times-frac_binary64`
87×	`unpow-prod-down_binary64`
83×	`sqr-pow_binary64`
54×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`
26×	`distribute-lft-out--_binary64`
19×	`cancel-sign-sub-inv_binary64`
18×	`cube-prod_binary64`
16×	`unpow3_binary64` `cube-mult_binary64`
15×	`distribute-rgt-out--_binary64`
13×	`associate-/l*_binary64`
9×	`associate-/r*_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `diff-log_binary64` `sub-neg_binary64`
1×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

3 → 213

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
8.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
7.0ms	(-.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 5107 to 3392 computations (33.6% saved)

series60.0ms (1.2%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

21.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
17.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
14.0ms	(-.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 396 to 305 computations (23% saved)

simplify276.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

498×	`exp-prod_binary64`
405×	`div-sub_binary64`
385×	`cancel-sign-sub-inv_binary64`
319×	`log-prod_binary64`
273×	`associate-/l*_binary64`
211×	`distribute-rgt-neg-in_binary64`
155×	`distribute-neg-frac_binary64`
149×	`sub-neg_binary64`
141×	`difference-of-squares_binary64`
122×	`associate-r_binary64`
119×	`associate-l_binary64`
104×	`associate-/l/_binary64`
96×	`cube-prod_binary64`
90×	`unpow3_binary64`
82×	`swap-sqr_binary64`
72×	`neg-mul-1_binary64`
71×	`associate-/r*_binary64`
68×	`neg-sub0_binary64`
63×	`sqr-pow_binary64`
60×	`times-frac_binary64`
55×	`distribute-lft-neg-out_binary64`
45×	`*-commutative_binary64`
39×	`distribute-rgt-neg-out_binary64`
38×	`+-commutative_binary64`
31×	`pow-plus_binary64`
27×	`log-pow_binary64` `unswap-sqr_binary64`
24×	`distribute-lft-neg-in_binary64`
23×	`distribute-rgt-in_binary64`
22×	`distribute-lft-in_binary64`
17×	`rem-sqrt-square_binary64` `associate-/r/_binary64`
16×	`pow-sqr_binary64`
15×	`/-rgt-identity_binary64`
14×	`*-rgt-identity_binary64` `distribute-rgt-out_binary64`
13×	`associate-*l/_binary64`
12×	`cube-div_binary64` `associate-*r/_binary64` `associate-+r-_binary64`
11×	`exp-sum_binary64` `distribute-neg-in_binary64`
10×	`cube-unmult_binary64`
8×	`log-div_binary64` `cube-mult_binary64`
7×	`exp-diff_binary64`
5×	`distribute-rgt-out--_binary64` `associate-+l+_binary64`
4×	`unsub-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt1-in_binary64` `associate-+r+_binary64`
3×	`rem-square-sqrt_binary64` `*-inverses_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `div-exp_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate--r+_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `*-lft-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` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `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` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `sub0-neg_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` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate-+l-_binary64`

Counts

231 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	7271
1	731	6592
2	2102	6577
3	4389	6397
4	4884	6397
5	5011	6397

prune61.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	170	2	172

Error

Counts

172 → 2

Compiler

Compiled 1637 to 1042 computations (36.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
0.5b	(pow.f64 (sqrt.f64 x) 3)
3.8b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2)))
12.4b	(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2))) (-.f64 x (pow.f64 (sqrt.f64 x) 3)))

rewrite1.1s (22.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1786×	`add-sqr-sqrt_binary64`
1424×	`times-frac_binary64`
923×	`*-un-lft-identity_binary64`
876×	`difference-of-squares_binary64`
475×	`unpow-prod-down_binary64`
409×	`sqr-pow_binary64`
323×	`add-cube-cbrt_binary64`
183×	`distribute-lft-out_binary64`
176×	`distribute-lft-out--_binary64`
124×	`sqrt-prod_binary64` `cube-prod_binary64`
71×	`associate-/l*_binary64`
60×	`unpow3_binary64` `cube-mult_binary64`
59×	`distribute-rgt-out--_binary64`
30×	`associate-/r/_binary64`
16×	`associate-/r*_binary64`
15×	`div-inv_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-log-exp_binary64`
4×	`div-exp_binary64` `cbrt-undiv_binary64`
3×	`div-sub_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `pow-unpow_binary64` `pow-pow_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `sqrt-pow2_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 930

Calls

4 calls:

44.0ms	(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2))) (-.f64 x (pow.f64 (sqrt.f64 x) 3)))
16.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2)))
8.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
8.0ms	(pow.f64 (sqrt.f64 x) 3)

Compiler

Compiled 20959 to 14121 computations (32.6% saved)

series62.0ms (1.2%)

Error

Counts

4 → 15

Calls

4 calls:

19.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
16.0ms	(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2))) (-.f64 x (pow.f64 (sqrt.f64 x) 3)))
9.0ms	(pow.f64 (sqrt.f64 x) 3)
8.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3/2)))

Compiler

Compiled 600 to 470 computations (21.7% saved)

simplify1.5s (29.3%)

Algorithm

1×	egg-herbie

Rules

907×	`div-sub_binary64`
517×	`associate-/l/_binary64`
428×	`associate-/l*_binary64`
170×	`exp-prod_binary64`
142×	`associate-/r/_binary64`
127×	`distribute-rgt-in_binary64`
126×	`sub-neg_binary64`
120×	`distribute-lft-in_binary64`
117×	`times-frac_binary64`
97×	`neg-mul-1_binary64`
96×	`neg-sub0_binary64`
94×	`cube-prod_binary64`
92×	`log-prod_binary64`
84×	`unpow3_binary64`
58×	`associate-/r*_binary64`
55×	`/-rgt-identity_binary64`
45×	`cube-mult_binary64`
44×	`sqr-pow_binary64` `cancel-sign-sub-inv_binary64`
42×	`unswap-sqr_binary64`
36×	`distribute-rgt-neg-in_binary64`
29×	`distribute-lft-neg-in_binary64`
28×	`log-pow_binary64`
25×	`rem-sqrt-square_binary64`
21×	`difference-of-squares_binary64`
18×	`+-commutative_binary64`
17×	`*-commutative_binary64`
12×	`log-div_binary64` `exp-diff_binary64` `cube-unmult_binary64` `cube-div_binary64`
10×	`pow-plus_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64`
9×	`exp-sum_binary64`
6×	`-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-out_binary64` `associate-l*_binary64`
5×	`rem-square-sqrt_binary64` `-lft-identity_binary64` `distribute-rgt-out--_binary64` `associate-r/_binary64`
4×	`unsub-neg_binary64` `distribute-neg-in_binary64` `distribute-rgt1-in_binary64`
3×	`mul-1-neg_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `associate-*l/_binary64`
1×	`log-rec_binary64` `div-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `associate--l-_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` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `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` `sqr-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` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-r*_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

945 → 894

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	899	54237
1	2146	51263
2	4004	50073
3	4704	48357
4	4859	48353
5	4964	48353

prune362.0ms (7.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	894	0	894
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	894	2	896

Error

Counts

896 → 2

Compiler

Compiled 10235 to 6891 computations (32.7% saved)

regimes132.0ms (2.6%)

Accuracy

Total 0.0b remaining (50%)

Threshold costs 0.0b (50%)

Compiler

Compiled 1460 to 1064 computations (27.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_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 1-exp_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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	7	13
2	7	13

end0.0ms (0%)

Compiler: Compiled 9 to 4 computations (55.6% saved)

sample756.0ms (14.9%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	128	valid
108.0ms	8000×	pre	128	true

Compiler

Compiled 59 to 43 computations (27.1% saved)

Details

analyze152.0ms (3%)

sample18.0ms (0.4%)

simplify142.0ms (2.8%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite22.0ms (0.4%)

series17.0ms (0.3%)

simplify102.0ms (2%)

prune7.0ms (0.1%)

localize11.0ms (0.2%)

rewrite236.0ms (4.6%)

series60.0ms (1.2%)

simplify276.0ms (5.4%)

prune61.0ms (1.2%)

localize17.0ms (0.3%)

rewrite1.1s (22.6%)

series62.0ms (1.2%)

simplify1.5s (29.3%)

prune362.0ms (7.1%)

regimes132.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample756.0ms (14.9%)

Profiling