Details

analyze206.0ms (6.6%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify193.0ms (6.2%)

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` `fabs-div_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite28.0ms (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)

series51.0ms (1.6%)

Error

0.3b

Counts

2 → 6

Calls

2 calls:

28.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
20.0ms	(log.f64 (log.f64 x))

Compiler

Compiled 177 to 149 computations (15.8% saved)

simplify103.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

823×	`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`
160×	`log-prod_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×	`exp-prod_binary64`
98×	`+-commutative_binary64`
92×	`associate-r_binary64`
90×	`associate-l_binary64`
89×	`log-div_binary64`
76×	`distribute-neg-out_binary64`
75×	`sqr-pow_binary64`
69×	`log-pow_binary64`
61×	`distribute-rgt-in_binary64`
59×	`remove-double-neg_binary64`
57×	`distribute-lft-in_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×	`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×	`fabs-mul_binary64` `*-lft-identity_binary64`
6×	`cube-mult_binary64` `cube-neg_binary64` `fabs-sqr_binary64` `cancel-sign-sub_binary64`
5×	`log-rec_binary64` `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×	`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` `fabs-neg_binary64` `fabs-sub_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` `fabs-div_binary64` `fabs-fabs_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	4882	484
7	4866	484

prune13.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	15	4	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	5	20

Error

0.1b

Counts

20 → 5

Compiler

Compiled 189 to 88 computations (53.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b	(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
0.4b	(cbrt.f64 (log.f64 x))
0.4b	(cbrt.f64 (log.f64 x))

rewrite101.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64` `log-prod_binary64`
12×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `associate--l+_binary64`
9×	`pow1_binary64`
7×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `associate--r+_binary64`
6×	`log-pow_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `diff-log_binary64`
3×	`pow1/3_binary64` `sub-neg_binary64`
2×	`flip3--_binary64` `flip--_binary64` `distribute-lft-out--_binary64`
1×	`difference-of-squares_binary64` `associate--l-_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
4.0ms	(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
1.0ms	(cbrt.f64 (log.f64 x))
1.0ms	(cbrt.f64 (log.f64 x))

Compiler

Compiled 1447 to 503 computations (65.2% saved)

series148.0ms (4.7%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
42.0ms	(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
25.0ms	(cbrt.f64 (log.f64 x))
24.0ms	(cbrt.f64 (log.f64 x))

Compiler

Compiled 651 to 519 computations (20.3% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-l_binary64`
549×	`associate-r_binary64`
229×	`cancel-sign-sub-inv_binary64`
219×	`exp-prod_binary64`
204×	`distribute-rgt-in_binary64`
199×	`exp-sum_binary64`
193×	`distribute-lft-in_binary64`
118×	`sub-neg_binary64`
115×	`exp-diff_binary64`
110×	`log-prod_binary64`
83×	`distribute-rgt-neg-in_binary64`
74×	`associate-+l-_binary64`
72×	`distribute-lft-neg-in_binary64`
61×	`associate-+r+_binary64`
57×	`associate-+l+_binary64`
56×	`associate--l+_binary64`
55×	`associate-+r-_binary64`
51×	`associate--r+_binary64`
44×	`distribute-lft-neg-out_binary64` `+-commutative_binary64`
42×	`neg-mul-1_binary64`
41×	`neg-sub0_binary64` `unswap-sqr_binary64`
40×	`associate--l-_binary64`
39×	`associate--r-_binary64`
38×	`unsub-neg_binary64`
37×	`*-commutative_binary64`
34×	`distribute-rgt-neg-out_binary64`
33×	`sqr-pow_binary64` `distribute-lft-out_binary64`
32×	`log-pow_binary64`
28×	`distribute-neg-out_binary64` `distribute-rgt-out_binary64`
24×	`cube-prod_binary64`
23×	`distribute-neg-in_binary64`
19×	`swap-sqr_binary64` `associate-/r*_binary64`
17×	`prod-exp_binary64`
15×	`exp-to-pow_binary64`
14×	`unpow3_binary64`
13×	`pow-plus_binary64`
8×	`+-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`pow-sqr_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l/_binary64`
5×	`cube-mult_binary64` `rem-sqrt-square_binary64`
4×	`unpow1/3_binary64` `cube-unmult_binary64` `cube-neg_binary64` `sqr-neg_binary64` `mul-1-neg_binary64`
3×	`log-div_binary64` `div-exp_binary64` `sub0-neg_binary64` `count-2_binary64`
2×	`exp-lft-sqr_binary64` `rem-exp-log_binary64` `rem-3cbrt-lft_binary64` `times-frac_binary64` `remove-double-neg_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `associate-/l_binary64` `associate-l/_binary64`
1×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `rec-exp_binary64` `exp-neg_binary64` `1-exp_binary64` `fabs-mul_binary64` `fabs-sqr_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `cancel-sign-sub_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` `log-E_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-div_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `div-sub_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `associate-/r/_binary64` `associate-*r/_binary64`

Counts

84 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1547
1	330	1204
2	829	1105
3	4260	1103
4	4983	1103

prune50.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	61	6	67

Error

Counts

67 → 6

Compiler

Compiled 769 to 311 computations (59.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 x (pow.f64 (log.f64 x) 2/3))
0.3b	(-.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) 2/3))) (log.f64 (cbrt.f64 (log.f64 x))))
0.4b	(cbrt.f64 (log.f64 x))
1.1b	(pow.f64 (log.f64 x) 2/3)

rewrite150.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

48×	`times-frac_binary64`
46×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`add-cube-cbrt_binary64`
35×	`log-prod_binary64`
32×	`unpow-prod-down_binary64`
28×	`associate--l+_binary64`
20×	`pow1_binary64`
16×	`log-pow_binary64`
10×	`add-exp-log_binary64`
8×	`sqr-pow_binary64` `cbrt-prod_binary64` `associate-/r*_binary64`
7×	`associate--r+_binary64`
6×	`add-cbrt-cube_binary64`
5×	`cancel-sign-sub-inv_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `div-exp_binary64` `associate-/l*_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64` `pow1/3_binary64` `div-inv_binary64`
1×	`pow-pow_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `log-div_binary64` `associate--l-_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 136

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) 2/3))) (log.f64 (cbrt.f64 (log.f64 x))))
5.0ms	(/.f64 x (pow.f64 (log.f64 x) 2/3))
2.0ms	(pow.f64 (log.f64 x) 2/3)
1.0ms	(cbrt.f64 (log.f64 x))

Compiler

Compiled 2489 to 1197 computations (51.9% saved)

series192.0ms (6.2%)

Error

Counts

4 → 12

Calls

4 calls:

82.0ms	(-.f64 (log.f64 (/.f64 x (pow.f64 (log.f64 x) 2/3))) (log.f64 (cbrt.f64 (log.f64 x))))
42.0ms	(/.f64 x (pow.f64 (log.f64 x) 2/3))
27.0ms	(cbrt.f64 (log.f64 x))
25.0ms	(pow.f64 (log.f64 x) 2/3)

Compiler

Compiled 681 to 564 computations (17.2% saved)

simplify159.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

361×	`associate-l_binary64`
322×	`associate-r_binary64`
301×	`log-prod_binary64`
261×	`cancel-sign-sub-inv_binary64`
240×	`log-pow_binary64`
228×	`associate-/r*_binary64`
194×	`exp-prod_binary64`
193×	`distribute-rgt-in_binary64`
187×	`distribute-lft-in_binary64`
181×	`sub-neg_binary64`
154×	`log-div_binary64`
136×	`times-frac_binary64`
126×	`associate-/l*_binary64`
113×	`associate--l+_binary64`
110×	`associate-/l/_binary64`
107×	`associate--l-_binary64`
76×	`sqr-pow_binary64`
57×	`unswap-sqr_binary64`
53×	`associate-*l/_binary64`
46×	`distribute-rgt-neg-in_binary64` `+-commutative_binary64`
42×	`associate--r-_binary64`
41×	`distribute-lft-neg-in_binary64`
40×	`associate-/r/_binary64`
36×	`neg-mul-1_binary64`
35×	`neg-sub0_binary64`
34×	`associate-*r/_binary64`
28×	`unsub-neg_binary64` `associate-+l-_binary64`
27×	`associate-+r-_binary64`
24×	`*-commutative_binary64`
23×	`+-rgt-identity_binary64`
22×	`distribute-lft-neg-out_binary64`
21×	`swap-sqr_binary64`
19×	`prod-exp_binary64`
18×	`exp-to-pow_binary64` `distribute-rgt-neg-out_binary64`
16×	`distribute-lft-out_binary64`
15×	`unpow1/3_binary64` `div-exp_binary64` `exp-sum_binary64` `distribute-neg-out_binary64`
14×	`exp-diff_binary64` `distribute-neg-in_binary64`
11×	`pow-plus_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64` `associate-+l+_binary64`
10×	`cube-prod_binary64`
9×	`difference-of-squares_binary64`
8×	`log-rec_binary64` `unpow3_binary64` `cube-unmult_binary64` `*-rgt-identity_binary64` `count-2_binary64`
7×	`rem-sqrt-square_binary64` `distribute-rgt-out--_binary64`
5×	`associate--r+_binary64`
4×	`pow-base-1_binary64` `rec-exp_binary64` `/-rgt-identity_binary64` `distribute-frac-neg_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `fabs-mul_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
2×	`cube-div_binary64` `rem-3cbrt-lft_binary64` `fabs-sqr_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64`
1×	`unpow-1_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `rem-square-sqrt_binary64` `*-lft-identity_binary64` `+-inverses_binary64` `distribute-neg-frac_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` `log-E_binary64` `pow-base-0_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cube-cbrt_binary64` `fabs-div_binary64` `fabs-neg_binary64` `fabs-sub_binary64` `fabs-fabs_binary64` `sqr-abs_binary64` `div-sub_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-rgt1-in_binary64`

Counts

148 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	2666
1	472	2387
2	1125	1940
3	4116	1905
4	4917	1905
5	4992	1905

prune93.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Error

Counts

127 → 5

Compiler

Compiled 1360 to 626 computations (54% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite87.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

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))
3.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1283 to 300 computations (76.6% saved)

series79.0ms (2.5%)

Error

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
19.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)

Compiler

Compiled 532 to 380 computations (28.6% saved)

simplify105.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

850×	`log-prod_binary64`
525×	`unswap-sqr_binary64`
346×	`sqr-pow_binary64`
307×	`distribute-rgt-neg-in_binary64`
298×	`associate-l_binary64`
290×	`distribute-lft-neg-in_binary64`
249×	`*-commutative_binary64`
246×	`distribute-lft-out_binary64`
228×	`exp-prod_binary64`
201×	`associate-r_binary64`
181×	`cube-prod_binary64`
164×	`fabs-mul_binary64`
151×	`swap-sqr_binary64`
137×	`log-pow_binary64`
112×	`cancel-sign-sub-inv_binary64` `distribute-rgt-out_binary64`
103×	`pow-sqr_binary64`
100×	`log-div_binary64`
98×	`associate-/l*_binary64`
77×	`neg-mul-1_binary64`
58×	`neg-sub0_binary64`
57×	`rem-sqrt-square_binary64`
55×	`associate-+l+_binary64`
50×	`associate-+r+_binary64`
48×	`distribute-rgt-in_binary64`
46×	`times-frac_binary64`
45×	`distribute-lft-in_binary64`
43×	`unpow3_binary64`
41×	`associate-/r/_binary64`
39×	`pow-plus_binary64`
35×	`associate-*r/_binary64`
33×	`associate-/r*_binary64`
32×	`associate-/l/_binary64`
28×	`cube-mult_binary64` `+-commutative_binary64`
25×	`sub-neg_binary64`
24×	`fabs-sqr_binary64`
20×	`cube-unmult_binary64` `*-rgt-identity_binary64`
19×	`*-lft-identity_binary64` `count-2_binary64`
17×	`cube-div_binary64` `fabs-div_binary64` `distribute-neg-frac_binary64`
16×	`distribute-rgt1-in_binary64`
9×	`associate-*l/_binary64`
8×	`unpow1/2_binary64`
7×	`distribute-rgt-neg-out_binary64` `distribute-lft1-in_binary64`
6×	`unpow2_binary64`
5×	`unpow1_binary64` `distribute-lft-neg-out_binary64`
4×	`rem-cbrt-cube_binary64` `mul-1-neg_binary64`
3×	`unpow1/3_binary64`
2×	`exp-sqrt_binary64` `rem-3cbrt-lft_binary64` `fabs-fabs_binary64`
1×	`log-rec_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_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` `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` `fabs-neg_binary64` `fabs-sub_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 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	642
1	97	594
2	309	574
3	800	560
4	1864	436
5	2894	436
6	4605	436
7	4971	436

prune33.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	60	5	65

Error

Counts

65 → 5

Compiler

Compiled 469 to 176 computations (62.5% saved)

regimes529.0ms (17%)

Accuracy

Total -0.0b remaining (-120.5%)

Threshold costs -0.0b (-120.5%)

Compiler

Compiled 5850 to 3783 computations (35.3% 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 fabs-div_binary64 fabs-mul_binary64 fabs-sqr_binary64 fabs-neg_binary64 fabs-sub_binary64 fabs-fabs_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)

sample644.0ms (20.7%)

Algorithm

1×

intervals

Results

314.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 104 to 70 computations (32.7% saved)

Details

analyze206.0ms (6.6%)

sample16.0ms (0.5%)

simplify193.0ms (6.2%)

prune1.0ms (0%)

localize5.0ms (0.2%)

rewrite28.0ms (0.9%)

series51.0ms (1.6%)

simplify103.0ms (3.3%)

prune13.0ms (0.4%)

localize9.0ms (0.3%)

rewrite101.0ms (3.2%)

series148.0ms (4.7%)

simplify91.0ms (2.9%)

prune50.0ms (1.6%)

localize12.0ms (0.4%)

rewrite150.0ms (4.8%)

series192.0ms (6.2%)

simplify159.0ms (5.1%)

prune93.0ms (3%)

localize13.0ms (0.4%)

rewrite87.0ms (2.8%)

series79.0ms (2.5%)

simplify105.0ms (3.4%)

prune33.0ms (1.1%)

regimes529.0ms (17%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample644.0ms (20.7%)

Profiling