Details

analyze213.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Rules

5114×	`associate--r-_binary64`
794×	`unsub-neg_binary64`
347×	`distribute-neg-in_binary64`
329×	`sub-neg_binary64`
313×	`distribute-rgt-in_binary64`
236×	`+-commutative_binary64`
229×	`distribute-lft-in_binary64`
144×	`associate-+r-_binary64`
126×	`distribute-neg-out_binary64`
113×	`neg-sub0_binary64`
104×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
96×	`distribute-lft-neg-out_binary64`
88×	`neg-mul-1_binary64`
79×	`*-rgt-identity_binary64`
78×	`*-lft-identity_binary64`
69×	`associate-+l-_binary64` `*-commutative_binary64`
65×	`distribute-rgt-neg-in_binary64`
61×	`distribute-rgt-out--_binary64`
56×	`associate-+r+_binary64`
54×	`distribute-lft-neg-in_binary64`
52×	`associate--l-_binary64`
47×	`associate--r+_binary64`
36×	`distribute-lft-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`associate-+l+_binary64`
22×	`cancel-sign-sub_binary64` `distribute-rgt-out_binary64`
18×	`associate-l_binary64`
16×	`--rgt-identity_binary64`
15×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `associate-r_binary64`
14×	`sub0-neg_binary64`
13×	`mul-1-neg_binary64`
12×	`distribute-lft-out--_binary64`
8×	`log-prod_binary64`
7×	`+-lft-identity_binary64`
4×	`distribute-lft1-in_binary64`
2×	`distribute-rgt1-in_binary64` `count-2_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `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` `times-frac_binary64` `div-sub_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_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	7	10
2	12	10
3	18	10
4	24	10
5	39	10
6	62	10
7	80	10
8	143	10
9	415	10
10	1140	10
11	1800	10
12	1961	10
13	2256	10
14	2365	10
15	2400	10
16	2407	10
17	2423	10
18	2429	10
19	2431	10
20	2431	10
21	2431	10
22	2431	10
23	4965	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify195.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

5114×	`associate--r-_binary64`
794×	`unsub-neg_binary64`
347×	`distribute-neg-in_binary64`
329×	`sub-neg_binary64`
313×	`distribute-rgt-in_binary64`
236×	`+-commutative_binary64`
229×	`distribute-lft-in_binary64`
144×	`associate-+r-_binary64`
126×	`distribute-neg-out_binary64`
113×	`neg-sub0_binary64`
104×	`cancel-sign-sub-inv_binary64` `associate--l+_binary64`
96×	`distribute-lft-neg-out_binary64`
88×	`neg-mul-1_binary64`
79×	`*-rgt-identity_binary64`
78×	`*-lft-identity_binary64`
69×	`associate-+l-_binary64` `*-commutative_binary64`
65×	`distribute-rgt-neg-in_binary64`
61×	`distribute-rgt-out--_binary64`
56×	`associate-+r+_binary64`
54×	`distribute-lft-neg-in_binary64`
52×	`associate--l-_binary64`
47×	`associate--r+_binary64`
36×	`distribute-lft-out_binary64`
25×	`distribute-rgt-neg-out_binary64`
24×	`associate-+l+_binary64`
22×	`cancel-sign-sub_binary64` `distribute-rgt-out_binary64`
18×	`associate-l_binary64`
16×	`--rgt-identity_binary64`
15×	`remove-double-neg_binary64` `+-rgt-identity_binary64` `associate-r_binary64`
14×	`sub0-neg_binary64`
13×	`mul-1-neg_binary64`
12×	`distribute-lft-out--_binary64`
8×	`log-prod_binary64`
7×	`+-lft-identity_binary64`
4×	`distribute-lft1-in_binary64`
2×	`distribute-rgt1-in_binary64` `count-2_binary64`
1×	`1-exp_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `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` `times-frac_binary64` `div-sub_binary64` `/-rgt-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` `distribute-neg-frac_binary64` `distribute-frac-neg_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	5	10
1	7	10
2	12	10
3	18	10
4	24	10
5	39	10
6	62	10
7	80	10
8	143	10
9	415	10
10	1140	10
11	1800	10
12	1961	10
13	2256	10
14	2365	10
15	2400	10
16	2407	10
17	2423	10
18	2429	10
19	2431	10
20	2431	10
21	2431	10
22	2431	10
23	4965	10

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

0.3b

Counts

1 → 1

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`log-prod_binary64`
10×	`pow1_binary64` `*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64` `log-pow_binary64`
6×	`add-cube-cbrt_binary64`
4×	`cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64` `associate--r+_binary64`
3×	`add-exp-log_binary64` `associate--l+_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
1×	`diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `rem-log-exp_binary64`

Counts

2 → 40

Calls

2 calls:

6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 401 to 108 computations (73.1% saved)

series53.0ms (1.7%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

27.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
21.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 177 to 149 computations (15.8% saved)

simplify81.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

886×	`div-sub_binary64`
540×	`unsub-neg_binary64`
476×	`sub-neg_binary64`
291×	`associate-+l+_binary64`
273×	`exp-diff_binary64`
271×	`exp-sum_binary64`
219×	`neg-sub0_binary64`
192×	`neg-mul-1_binary64`
186×	`*-commutative_binary64`
162×	`associate--r+_binary64`
152×	`distribute-rgt-neg-out_binary64`
151×	`associate--l+_binary64`
148×	`associate--r-_binary64`
137×	`times-frac_binary64`
127×	`distribute-lft-neg-out_binary64`
114×	`cancel-sign-sub-inv_binary64`
110×	`associate-+l-_binary64`
107×	`associate-+r-_binary64`
106×	`associate--l-_binary64`
103×	`log-prod_binary64` `exp-prod_binary64`
98×	`+-commutative_binary64`
92×	`associate-r_binary64`
90×	`associate-l_binary64`
76×	`distribute-neg-out_binary64`
75×	`sqr-pow_binary64`
61×	`distribute-rgt-in_binary64`
59×	`remove-double-neg_binary64`
57×	`distribute-lft-in_binary64`
49×	`log-div_binary64`
46×	`cube-prod_binary64` `distribute-neg-in_binary64`
36×	`distribute-rgt-out_binary64`
33×	`difference-of-squares_binary64`
31×	`distribute-lft-out_binary64`
29×	`sub0-neg_binary64`
26×	`distribute-lft-neg-in_binary64`
24×	`log-pow_binary64` `distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
21×	`+-rgt-identity_binary64`
18×	`pow-sqr_binary64` `unswap-sqr_binary64`
17×	`exp-to-pow_binary64`
15×	`--rgt-identity_binary64`
14×	`swap-sqr_binary64`
13×	`cube-unmult_binary64` `mul-1-neg_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `associate-/r*_binary64`
12×	`unpow3_binary64`
11×	`sqr-neg_binary64`
10×	`prod-exp_binary64` `rem-sqrt-square_binary64` `count-2_binary64`
8×	`pow-plus_binary64`
7×	`*-lft-identity_binary64`
6×	`cube-mult_binary64` `cube-neg_binary64` `cancel-sign-sub_binary64`
5×	`rem-exp-log_binary64`
4×	`div-exp_binary64` `rem-log-exp_binary64` `cube-div_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`rec-exp_binary64` `associate-/l/_binary64`
2×	`log-rec_binary64` `unpow1/2_binary64` `*-rgt-identity_binary64` `+-lft-identity_binary64` `distribute-rgt-out--_binary64`
1×	`log-E_binary64` `unpow2_binary64` `exp-neg_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `rem-square-sqrt_binary64` `+-inverses_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-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` `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` `pow-base-0_binary64` `unpow1/3_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` `e-exp-1_binary64` `exp-0_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `associate-*r/_binary64`

Counts

46 → 19

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	70	540
1	146	496
2	267	496
3	1141	494
4	2781	490
5	4063	484
6	5070	484

prune16.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	14	5	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	5	20

Error

0.1b

Counts

20 → 5

Compiler

Compiled 198 to 95 computations (52% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
0.6b	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
0.6b	(pow.f64 (log.f64 (log.f64 x)) 3)

rewrite124.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`cbrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
17×	`cancel-sign-sub-inv_binary64`
16×	`add-cube-cbrt_binary64`
14×	`pow1_binary64`
13×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`log-pow_binary64`
7×	`log-prod_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
4×	`sqr-pow_binary64`
3×	`pow-unpow_binary64` `unpow3_binary64` `cube-mult_binary64` `associate--l+_binary64`
2×	`distribute-lft-out--_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow1/3_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `rem-log-exp_binary64`

Counts

4 → 99

Calls

4 calls:

10.0ms	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
2.0ms	(pow.f64 (log.f64 (log.f64 x)) 3)
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
1.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 1262 to 622 computations (50.7% saved)

series97.0ms (3.2%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
24.0ms	(pow.f64 (log.f64 (log.f64 x)) 3)
20.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
20.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 352 to 297 computations (15.6% saved)

simplify154.0ms (5%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-l_binary64`
492×	`associate-r_binary64`
447×	`log-prod_binary64`
321×	`exp-prod_binary64`
238×	`cube-prod_binary64`
231×	`unswap-sqr_binary64`
215×	`unsub-neg_binary64`
138×	`sqr-pow_binary64`
136×	`unpow3_binary64`
127×	`sub-neg_binary64`
106×	`log-pow_binary64`
102×	`distribute-rgt-in_binary64` `*-commutative_binary64`
98×	`distribute-lft-in_binary64`
91×	`cancel-sign-sub-inv_binary64`
88×	`exp-sum_binary64`
83×	`neg-sub0_binary64`
60×	`neg-mul-1_binary64`
54×	`distribute-rgt-neg-in_binary64`
46×	`exp-diff_binary64`
43×	`distribute-lft-neg-in_binary64`
42×	`pow-sqr_binary64`
40×	`distribute-lft-neg-out_binary64` `+-commutative_binary64`
28×	`pow-plus_binary64`
26×	`swap-sqr_binary64`
24×	`cube-unmult_binary64` `associate-+l+_binary64`
23×	`times-frac_binary64` `distribute-rgt-neg-out_binary64` `associate-+r-_binary64`
21×	`associate--r+_binary64`
20×	`associate--r-_binary64` `associate-+r+_binary64`
19×	`associate-+l-_binary64`
17×	`distribute-rgt-out_binary64`
16×	`exp-to-pow_binary64`
15×	`sub0-neg_binary64`
14×	`cube-mult_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
13×	`rem-sqrt-square_binary64`
12×	`difference-of-squares_binary64`
10×	`+-rgt-identity_binary64` `distribute-lft-out_binary64`
9×	`log-div_binary64`
7×	`mul-1-neg_binary64` `distribute-neg-in_binary64` `associate--l+_binary64`
5×	`*-lft-identity_binary64` `--rgt-identity_binary64` `count-2_binary64`
4×	`rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `sqr-neg_binary64` `*-rgt-identity_binary64`
3×	`log-rec_binary64` `prod-exp_binary64` `remove-double-neg_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `associate--l-_binary64`
2×	`associate-/r*_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `+-inverses_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` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_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` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`

Counts

111 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1308
1	242	1224
2	594	1210
3	3018	1210
4	4618	1210
5	4983	1210
6	4863	1210

prune47.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Error

0.0b

Counts

89 → 8

Compiler

Compiled 545 to 229 computations (58% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (log.f64 (log.f64 x)))
0.1b	(sqrt.f64 (log.f64 (log.f64 x)))
0.3b	(-.f64 (log.f64 x) (*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))))
0.5b	(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))

rewrite103.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`sqrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
29×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`log-pow_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64` `add-log-exp_binary64`
4×	`rem-sqrt-square_binary64` `unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64` `log-prod_binary64` `associate--l+_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 99

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
4.0ms	(-.f64 (log.f64 x) (*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))))
1.0ms	(sqrt.f64 (log.f64 (log.f64 x)))
1.0ms	(sqrt.f64 (log.f64 (log.f64 x)))

Compiler

Compiled 1436 to 296 computations (79.4% saved)

series99.0ms (3.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

26.0ms	(-.f64 (log.f64 x) (*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x)))))
24.0ms	(sqrt.f64 (log.f64 (log.f64 x)))
22.0ms	(sqrt.f64 (log.f64 (log.f64 x)))
20.0ms	(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))

Compiler

Compiled 429 to 316 computations (26.3% saved)

simplify174.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

408×	`times-frac_binary64`
296×	`log-prod_binary64`
278×	`*-commutative_binary64`
261×	`cancel-sign-sub-inv_binary64`
255×	`exp-prod_binary64` `associate-l_binary64`
224×	`exp-sum_binary64`
203×	`associate-+l+_binary64`
188×	`associate-r_binary64`
185×	`log-pow_binary64`
181×	`distribute-rgt-neg-out_binary64`
178×	`exp-diff_binary64`
169×	`unsub-neg_binary64`
167×	`distribute-lft-neg-out_binary64`
157×	`unswap-sqr_binary64`
155×	`associate--r+_binary64`
131×	`distribute-rgt-neg-in_binary64`
120×	`distribute-lft-neg-in_binary64`
111×	`associate--r-_binary64`
109×	`sub-neg_binary64`
100×	`log-div_binary64`
98×	`cube-prod_binary64`
75×	`associate-+r-_binary64`
72×	`associate--l+_binary64`
65×	`distribute-rgt-in_binary64`
63×	`distribute-lft-in_binary64`
61×	`distribute-rgt-out_binary64`
57×	`neg-sub0_binary64` `distribute-neg-out_binary64`
56×	`sqr-pow_binary64`
52×	`unpow3_binary64`
46×	`distribute-neg-in_binary64`
40×	`neg-mul-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64`
38×	`associate-+l-_binary64`
36×	`prod-exp_binary64`
35×	`associate-/r*_binary64`
32×	`exp-to-pow_binary64`
30×	`+-commutative_binary64`
25×	`pow-plus_binary64`
24×	`rem-sqrt-square_binary64`
23×	`div-exp_binary64`
20×	`associate-/l*_binary64`
19×	`*-rgt-identity_binary64` `associate--l-_binary64`
18×	`cube-unmult_binary64` `associate-+r+_binary64`
16×	`log-rec_binary64` `*-lft-identity_binary64` `pow-sqr_binary64`
15×	`distribute-lft-out_binary64`
12×	`sub0-neg_binary64`
11×	`rec-exp_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
10×	`cube-mult_binary64` `+-rgt-identity_binary64`
9×	`sqr-neg_binary64`
8×	`associate-/l/_binary64`
6×	`mul-1-neg_binary64` `count-2_binary64` `associate-/r/_binary64` `associate-*r/_binary64`
5×	`rem-exp-log_binary64` `cube-neg_binary64` `--rgt-identity_binary64`
4×	`exp-neg_binary64` `rem-log-exp_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64`
2×	`exp-lft-sqr_binary64` `exp-sqrt_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `+-inverses_binary64` `distribute-rgt1-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` `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` `pow-base-0_binary64` `unpow1/3_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `+-lft-identity_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` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`

Counts

111 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1105
1	174	1040
2	424	1026
3	1613	995
4	3526	995
5	4577	995
6	4851	995
7	4960	995
8	4861	995

prune46.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	83	8	91

Error

0.0b

Counts

91 → 8

Compiler

Compiled 669 to 220 computations (67.1% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite98.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1283 to 300 computations (76.6% saved)

series81.0ms (2.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
16.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)

Compiler

Compiled 532 to 380 computations (28.6% saved)

simplify110.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64`
419×	`sqr-pow_binary64`
335×	`associate-l_binary64`
309×	`*-commutative_binary64`
283×	`distribute-rgt-neg-in_binary64`
262×	`distribute-lft-neg-in_binary64`
227×	`associate-r_binary64`
188×	`exp-prod_binary64`
161×	`log-pow_binary64`
153×	`cube-prod_binary64`
131×	`swap-sqr_binary64`
129×	`pow-sqr_binary64`
124×	`unswap-sqr_binary64`
106×	`associate-/l*_binary64`
86×	`cancel-sign-sub-inv_binary64`
75×	`associate-+l+_binary64`
69×	`associate-+r+_binary64`
61×	`distribute-rgt-in_binary64`
60×	`distribute-lft-out_binary64`
57×	`distribute-lft-in_binary64`
55×	`neg-sub0_binary64`
54×	`neg-mul-1_binary64`
48×	`distribute-rgt-out_binary64`
45×	`+-commutative_binary64`
43×	`pow-plus_binary64` `rem-sqrt-square_binary64`
42×	`times-frac_binary64`
41×	`sub-neg_binary64`
40×	`associate-/r/_binary64`
37×	`associate-*r/_binary64`
35×	`associate-/l/_binary64`
32×	`unpow3_binary64`
31×	`-rgt-identity_binary64` `-lft-identity_binary64`
29×	`count-2_binary64`
27×	`cube-mult_binary64`
24×	`associate-/r*_binary64`
17×	`log-div_binary64` `cube-div_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-out_binary64`
13×	`cube-unmult_binary64` `distribute-rgt1-in_binary64`
10×	`unpow1/2_binary64`
9×	`distribute-lft-neg-out_binary64` `distribute-lft1-in_binary64` `associate-*l/_binary64`
8×	`unpow2_binary64`
5×	`unpow1_binary64`
3×	`unpow1/3_binary64` `mul-1-neg_binary64`
2×	`exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64`
1×	`exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `--rgt-identity_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-rec_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `/-rgt-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` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+r-_binary64`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	700
1	97	612
2	308	592
3	1135	578
4	2034	548
5	3259	548
6	4941	548
7	4873	548

prune40.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	50	8	58

Error

0.0b

Counts

58 → 8

Compiler

Compiled 447 to 162 computations (63.8% saved)

regimes544.0ms (17.8%)

Accuracy

Total -0.0b remaining (-509.4%)

Threshold costs -0.0b (-509.4%)

Compiler

Compiled 5328 to 3813 computations (28.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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 *-commutative_binary64 +-commutative_binary64

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end1.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample694.0ms (22.7%)

Algorithm

1×

intervals

Results

334.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 149 to 85 computations (43% saved)

Details

analyze213.0ms (7%)

sample17.0ms (0.5%)

simplify195.0ms (6.4%)

prune1.0ms (0%)

localize10.0ms (0.3%)

rewrite26.0ms (0.9%)

series53.0ms (1.7%)

simplify81.0ms (2.7%)

prune16.0ms (0.5%)

localize8.0ms (0.3%)

rewrite124.0ms (4.1%)

series97.0ms (3.2%)

simplify154.0ms (5%)

prune47.0ms (1.5%)

localize8.0ms (0.3%)

rewrite103.0ms (3.4%)

series99.0ms (3.2%)

simplify174.0ms (5.7%)

prune46.0ms (1.5%)

localize14.0ms (0.5%)

rewrite98.0ms (3.2%)

series81.0ms (2.6%)

simplify110.0ms (3.6%)

prune40.0ms (1.3%)

regimes544.0ms (17.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample694.0ms (22.7%)

Profiling