Details

analyze621.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

747×	`cube-prod_binary64`
498×	`sqr-pow_binary64`
420×	`associate-/l/_binary64`
366×	`pow-sqr_binary64`
321×	`unpow3_binary64`
318×	`cube-mult_binary64`
300×	`distribute-rgt-in_binary64`
297×	`cube-div_binary64`
288×	`swap-sqr_binary64`
264×	`associate-*l/_binary64`
258×	`associate-/r/_binary64`
254×	`associate-/l*_binary64`
252×	`distribute-lft-in_binary64`
180×	`*-commutative_binary64`
168×	`unswap-sqr_binary64`
153×	`associate-*r/_binary64`
123×	`associate-/r*_binary64`
108×	`times-frac_binary64`
96×	`associate-r_binary64`
93×	`associate-l_binary64`
73×	`mul0-rgt_binary64`
69×	`mul0-lft_binary64`
52×	`+-commutative_binary64`
15×	`pow-plus_binary64`
9×	`cube-unmult_binary64` `*-rgt-identity_binary64` `lft-mult-inverse_binary64`
6×	`/-rgt-identity_binary64` `-lft-identity_binary64` `+-rgt-identity_binary64` `-inverses_binary64` `remove-double-div_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-rgt-out_binary64`
1×	`1-exp_binary64` `swap-re-im`
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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	128
1	60	116
2	67	116
3	100	88
4	149	76
5	156	76
6	485	76
7	1295	76
8	1733	76
9	1790	76
10	2581	76
11	3733	76
12	4994	76
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Symmetry

(sort re im)

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
2.0ms	20×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

859×	`distribute-rgt-in_binary64`
620×	`associate-/l/_binary64`
591×	`pow-sqr_binary64`
557×	`cube-prod_binary64`
533×	`sqr-pow_binary64`
511×	`cube-div_binary64`
417×	`times-frac_binary64`
401×	`associate-/r/_binary64`
346×	`unpow3_binary64`
345×	`cube-mult_binary64`
181×	`swap-sqr_binary64`
162×	`distribute-lft-in_binary64`
81×	`associate-*l/_binary64`
78×	`*-commutative_binary64`
77×	`associate-/l*_binary64`
56×	`unswap-sqr_binary64`
51×	`mul0-rgt_binary64`
50×	`mul0-lft_binary64`
49×	`associate-*r/_binary64`
41×	`associate-/r*_binary64`
26×	`pow-plus_binary64`
25×	`associate-l_binary64`
24×	`associate-r_binary64`
16×	`*-inverses_binary64`
15×	`+-commutative_binary64`
14×	`remove-double-div_binary64`
12×	`/-rgt-identity_binary64`
11×	`lft-mult-inverse_binary64`
10×	`rem-sqrt-square_binary64`
9×	`unpow2_binary64`
5×	`unpow1_binary64` `*-rgt-identity_binary64` `distribute-rgt-out_binary64`
4×	`*-lft-identity_binary64` `+-rgt-identity_binary64`
3×	`cube-unmult_binary64`
2×	`unpow1/2_binary64` `+-lft-identity_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` `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-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `div0_binary64` `+-inverses_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	24	29
2	27	29
3	38	22
4	55	19
5	58	19
6	169	19
7	466	19
8	668	19
9	738	19
10	1132	19
11	1422	19
12	2240	19
13	3370	19
14	3918	19
15	4397	19
16	5740	19

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.9b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
29.7b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite94.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

31.8b

Rules

24×	`times-frac_binary64`
22×	`log-pow_binary64`
20×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`pow1/2_binary64` `sqrt-pow1_binary64` `associate-/l*_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64` `associate-/r*_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `flip3-+_binary64` `flip-+_binary64` `log-div_binary64` `div-sub_binary64`
1×	`rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

2 → 63

Calls

2 calls:

7.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1160 to 221 computations (80.9% saved)

series141.0ms (1.8%)

Error

0.5b

Counts

2 → 33

Calls

2 calls:

78.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
41.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1263 to 1037 computations (17.9% saved)

simplify170.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

399×	`distribute-rgt-neg-in_binary64`
308×	`unswap-sqr_binary64`
301×	`distribute-neg-frac_binary64`
291×	`times-frac_binary64`
248×	`associate-/l*_binary64`
202×	`associate-r_binary64`
175×	`associate-l_binary64`
173×	`sub-neg_binary64`
161×	`associate-/r*_binary64`
112×	`associate-*l/_binary64`
100×	`neg-sub0_binary64`
98×	`*-commutative_binary64`
92×	`associate-*r/_binary64`
89×	`div-sub_binary64` `neg-mul-1_binary64`
87×	`cancel-sign-sub-inv_binary64`
72×	`distribute-lft-neg-in_binary64`
55×	`+-commutative_binary64`
53×	`associate-/l/_binary64`
47×	`distribute-lft-neg-out_binary64`
46×	`log-div_binary64`
44×	`difference-of-squares_binary64` `associate-/r/_binary64`
41×	`cube-prod_binary64` `associate-+r-_binary64`
40×	`unpow3_binary64` `sqr-pow_binary64`
39×	`unsub-neg_binary64` `distribute-neg-in_binary64`
36×	`log-prod_binary64`
35×	`distribute-rgt-neg-out_binary64`
33×	`distribute-frac-neg_binary64`
30×	`cube-div_binary64`
28×	`pow-plus_binary64` `associate-+l-_binary64`
27×	`distribute-rgt-in_binary64`
24×	`cube-unmult_binary64` `+-rgt-identity_binary64`
19×	`sub0-neg_binary64` `distribute-lft-in_binary64`
14×	`associate-+r+_binary64`
13×	`associate-+l+_binary64`
11×	`mul-1-neg_binary64` `associate--r-_binary64`
10×	`cube-mult_binary64`
9×	`exp-prod_binary64`
8×	`log-pow_binary64` `log-rec_binary64` `associate--r+_binary64`
7×	`*-rgt-identity_binary64` `remove-double-neg_binary64` `distribute-rgt-out--_binary64`
6×	`exp-neg_binary64` `*-lft-identity_binary64` `cancel-sign-sub_binary64`
5×	`swap-sqr_binary64` `associate--l+_binary64`
4×	`exp-diff_binary64` `rem-sqrt-square_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt-out_binary64`
3×	`exp-sum_binary64` `distribute-neg-out_binary64`
2×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-neg_binary64` `sqr-neg_binary64` `div0_binary64` `associate--l-_binary64`
1×	`exp-to-pow_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64` `+-lft-identity_binary64` `+-inverses_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_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` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

96 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2266
1	368	2163
2	899	2151
3	3108	2151
4	4853	2151
5	4981	2151
6	4995	2151
7	4936	2151

prune242.0ms (3.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Error

1.4b

Counts

57 → 8

Compiler

Compiled 764 to 343 computations (55.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

1.3b

Rules

16×	`times-frac_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
10×	`log-pow_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

1 → 36

Calls

1 calls:

4.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 367 to 89 computations (75.7% saved)

series49.0ms (0.6%)

Error

1.4b

Counts

1 → 6

Calls

1 calls:

45.0ms

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 162 to 158 computations (2.5% saved)

simplify168.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

483×	`distribute-frac-neg_binary64`
431×	`unsub-neg_binary64`
307×	`distribute-rgt-in_binary64`
300×	`distribute-lft-in_binary64`
268×	`div-sub_binary64`
244×	`times-frac_binary64`
235×	`sub-neg_binary64`
220×	`cancel-sign-sub-inv_binary64`
197×	`associate-*l/_binary64`
193×	`associate-/l/_binary64`
191×	`associate-/l*_binary64`
182×	`exp-sum_binary64`
172×	`associate-*r/_binary64`
155×	`exp-diff_binary64`
154×	`log-div_binary64`
142×	`associate-/r*_binary64`
136×	`associate-l_binary64`
123×	`neg-sub0_binary64`
112×	`associate-r_binary64`
109×	`associate-/r/_binary64`
108×	`log-prod_binary64` `exp-prod_binary64`
94×	`neg-mul-1_binary64`
69×	`cube-div_binary64`
66×	`associate-+r+_binary64`
62×	`distribute-neg-frac_binary64`
61×	`associate-+r-_binary64`
60×	`associate--r+_binary64`
57×	`*-commutative_binary64`
49×	`cube-prod_binary64` `associate--r-_binary64`
40×	`+-commutative_binary64`
39×	`distribute-lft-neg-out_binary64`
37×	`distribute-rgt-neg-out_binary64`
28×	`associate-+l+_binary64`
27×	`distribute-neg-in_binary64`
26×	`sqr-pow_binary64` `swap-sqr_binary64`
24×	`exp-to-pow_binary64`
23×	`*-lft-identity_binary64`
22×	`*-rgt-identity_binary64` `cancel-sign-sub_binary64`
20×	`associate-+l-_binary64`
19×	`/-rgt-identity_binary64`
18×	`mul-1-neg_binary64`
17×	`log-rec_binary64` `unpow3_binary64` `remove-double-neg_binary64` `div0_binary64`
16×	`log-pow_binary64`
15×	`cube-mult_binary64`
13×	`mul0-rgt_binary64` `mul0-lft_binary64`
12×	`cube-neg_binary64`
11×	`sqr-neg_binary64` `associate--l-_binary64`
10×	`--rgt-identity_binary64` `associate--l+_binary64`
8×	`sub0-neg_binary64`
6×	`exp-neg_binary64`
5×	`cube-unmult_binary64` `+-lft-identity_binary64`
4×	`prod-exp_binary64` `+-rgt-identity_binary64` `remove-double-div_binary64` `distribute-rgt-neg-in_binary64`
3×	`unpow-1_binary64` `rem-exp-log_binary64`
2×	`unswap-sqr_binary64` `distribute-lft-neg-in_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `unpow1_binary64` `rec-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `+-inverses_binary64` `count-2_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` `unpow2_binary64` `pow-plus_binary64` `pow-base-1_binary64` `unpow0_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`

Counts

42 → 21

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	74	745
1	133	673
2	258	673
3	671	673
4	3090	672
5	4661	672
6	4936	671
7	4951	671
8	4962	671
9	4991	671
10	4903	671

prune15.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	17	12	29

Error

1.4b

Counts

29 → 12

Compiler

Compiled 285 to 177 computations (37.9% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.5b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
0.6b	(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)

rewrite111.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.3b

Rules

80×	`times-frac_binary64`
51×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
46×	`pow1_binary64` `cbrt-prod_binary64`
42×	`log-pow_binary64`
40×	`unpow-prod-down_binary64` `cube-prod_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`div-inv_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64`
1×	`pow-pow_binary64` `pow-to-exp_binary64` `pow1/3_binary64` `cbrt-div_binary64` `rem-cbrt-cube_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

3 → 152

Calls

3 calls:

6.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))
6.0ms	(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)
4.0ms	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 1551 to 558 computations (64% saved)

series166.0ms (2.2%)

Error

1.3b

Counts

3 → 18

Calls

3 calls:

61.0ms	(pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3)
46.0ms	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
45.0ms	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 3))

Compiler

Compiled 630 to 603 computations (4.3% saved)

simplify112.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

756×	`associate-/l*_binary64`
396×	`unswap-sqr_binary64`
280×	`associate-/l/_binary64`
172×	`associate-/r/_binary64`
167×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`
112×	`sqr-pow_binary64`
88×	`log-prod_binary64`
76×	`times-frac_binary64`
70×	`log-div_binary64`
69×	`associate-*l/_binary64`
68×	`cube-div_binary64`
67×	`associate-*r/_binary64`
58×	`exp-prod_binary64`
50×	`div-sub_binary64`
47×	`associate-r_binary64`
45×	`cube-prod_binary64`
41×	`associate-l_binary64`
40×	`associate-/r*_binary64`
38×	`unpow3_binary64`
36×	`cube-mult_binary64` `cancel-sign-sub-inv_binary64`
34×	`distribute-rgt-neg-in_binary64`
33×	`swap-sqr_binary64`
32×	`distribute-frac-neg_binary64`
28×	`sub-neg_binary64` `distribute-lft-neg-in_binary64`
22×	`rem-cbrt-cube_binary64`
20×	`neg-sub0_binary64`
19×	`*-commutative_binary64`
15×	`*-rgt-identity_binary64` `distribute-neg-frac_binary64`
14×	`log-pow_binary64` `distribute-lft-neg-out_binary64`
13×	`rem-sqrt-square_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
12×	`mul-1-neg_binary64`
11×	`neg-mul-1_binary64`
10×	`distribute-neg-in_binary64`
9×	`pow-plus_binary64`
8×	`*-lft-identity_binary64`
5×	`cube-unmult_binary64`
4×	`/-rgt-identity_binary64` `+-commutative_binary64`
3×	`rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
2×	`log-rec_binary64` `remove-double-neg_binary64` `associate--r-_binary64`
1×	`unpow1/2_binary64` `unpow1_binary64` `exp-diff_binary64` `exp-sum_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `div0_binary64` `+-inverses_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` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_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-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

170 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	3602
1	380	3122
2	1213	3065
3	5179	3065

prune45.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	131	15	146

Error

1.3b

Counts

146 → 15

Compiler

Compiled 915 to 447 computations (51.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (pow.f64 (log.f64 base) 3))
0.5b	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
0.6b	(pow.f64 (log.f64 (neg.f64 re)) 3)
0.7b	(pow.f64 (log.f64 base) 3)

rewrite138.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.3b

Rules

42×	`times-frac_binary64`
37×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
18×	`pow1_binary64`
15×	`add-exp-log_binary64`
14×	`associate-/r*_binary64`
12×	`log-pow_binary64`
8×	`add-cbrt-cube_binary64`
6×	`pow-unpow_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `div-exp_binary64`
5×	`pow-to-exp_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`pow-pow_binary64` `rem-cube-cbrt_binary64` `cbrt-div_binary64`
1×	`pow1/3_binary64` `un-div-inv_binary64` `associate-*r/_binary64` `cbrt-prod_binary64` `inv-pow_binary64` `pow-flip_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 142

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
6.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
2.0ms	(pow.f64 (log.f64 base) 3)
2.0ms	(pow.f64 (log.f64 (neg.f64 re)) 3)

Compiler

Compiled 2079 to 1335 computations (35.8% saved)

series111.0ms (1.5%)

Error

1.3b

Counts

4 → 15

Calls

4 calls:

45.0ms	(cbrt.f64 (*.f64 (pow.f64 (log.f64 (neg.f64 re)) 3) (/.f64 1 (pow.f64 (log.f64 base) 3))))
21.0ms	(/.f64 1 (pow.f64 (log.f64 base) 3))
18.0ms	(pow.f64 (log.f64 (neg.f64 re)) 3)
17.0ms	(pow.f64 (log.f64 base) 3)

Compiler

Compiled 557 to 544 computations (2.3% saved)

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/l*_binary64`
494×	`unswap-sqr_binary64`
201×	`distribute-rgt-in_binary64`
198×	`associate-/l/_binary64`
197×	`distribute-lft-in_binary64`
108×	`log-prod_binary64`
101×	`exp-prod_binary64` `associate-/r*_binary64`
91×	`associate-/r/_binary64`
79×	`sqr-pow_binary64`
75×	`distribute-rgt-neg-in_binary64`
70×	`cube-prod_binary64`
69×	`distribute-lft-neg-in_binary64`
65×	`associate-l_binary64`
64×	`associate-r_binary64`
57×	`times-frac_binary64`
55×	`swap-sqr_binary64`
49×	`cancel-sign-sub-inv_binary64`
40×	`div-sub_binary64`
29×	`neg-sub0_binary64`
27×	`sub-neg_binary64`
25×	`pow-sqr_binary64`
23×	`neg-mul-1_binary64`
20×	`distribute-lft-neg-out_binary64`
18×	`log-pow_binary64` `rem-sqrt-square_binary64`
16×	`unpow3_binary64` `pow-plus_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `*-commutative_binary64`
14×	`distribute-neg-in_binary64`
13×	`cube-mult_binary64`
12×	`log-div_binary64` `cube-unmult_binary64` `*-rgt-identity_binary64`
11×	`exp-sum_binary64` `mul-1-neg_binary64`
8×	`associate-*l/_binary64`
7×	`count-2_binary64` `associate-*r/_binary64`
6×	`exp-to-pow_binary64` `cube-div_binary64` `remove-double-neg_binary64`
5×	`*-lft-identity_binary64` `+-commutative_binary64`
3×	`log-rec_binary64` `sqr-neg_binary64` `/-rgt-identity_binary64` `associate-+r-_binary64` `associate-+r+_binary64`
2×	`unpow1/2_binary64` `unpow1_binary64` `exp-neg_binary64` `rem-exp-log_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `rem-square-sqrt_binary64` `associate--r-_binary64`
1×	`exp-diff_binary64` `1-exp_binary64` `exp-1-e_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `unsub-neg_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `+-inverses_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` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-3cbrt-rft_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+l+_binary64`

Counts

157 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2026
1	294	1881
2	1095	1800
3	5033	1800

prune44.0ms (0.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	125	16	141

Error

1.3b

Counts

141 → 16

Compiler

Compiled 734 to 466 computations (36.5% saved)

regimes2.8s (36.5%)

Accuracy

Total 7.5b remaining (80.7%)

Threshold costs 0b (0%)

Compiler

Compiled 14633 to 11268 computations (23% saved)

bsearch402.0ms (5.3%)

Steps

Iters	Range		Point
7	3.3880985457454584e+61	3.9568327501444714e+63	3.5143106717443304e+63
9	4.5502799343102733e-66	1.5861515099098543e-58	4.608408956128725e-66
10	2.7761693053065865e-143	1.6879605698291684e-131	1.6664187845870407e-131
8	1.3822339447758466e-168	5.315699085565658e-164	1.413754253679529e-168

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
1×	`1-exp_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `sub-neg_binary64`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-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	41	95
1	50	95
2	52	95
3	53	95
4	50	95

end10.0ms (0.1%)

Compiler: Compiled 183 to 111 computations (39.3% saved)

sample1.9s (24.8%)

Algorithm

1×

intervals

Results

843.0ms	8000×	body	128	valid
96.0ms	966×	body	128	nan

Compiler

Compiled 383 to 296 computations (22.7% saved)

Details

analyze621.0ms (8.1%)

sample46.0ms (0.6%)

simplify106.0ms (1.4%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite94.0ms (1.2%)

series141.0ms (1.8%)

simplify170.0ms (2.2%)

prune242.0ms (3.2%)

localize8.0ms (0.1%)

rewrite29.0ms (0.4%)

series49.0ms (0.6%)

simplify168.0ms (2.2%)

prune15.0ms (0.2%)

localize10.0ms (0.1%)

rewrite111.0ms (1.5%)

series166.0ms (2.2%)

simplify112.0ms (1.5%)

prune45.0ms (0.6%)

localize14.0ms (0.2%)

rewrite138.0ms (1.8%)

series111.0ms (1.5%)

simplify79.0ms (1%)

prune44.0ms (0.6%)

regimes2.8s (36.5%)

bsearch402.0ms (5.3%)

simplify9.0ms (0.1%)

end10.0ms (0.1%)

sample1.9s (24.8%)

Profiling