Details

analyze186.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify98.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4783	13
1	4783	13

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite59.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`*-un-lft-identity_binary64_3147`
15×	`times-frac_binary64_3153`
12×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169`
5×	`cosh-undef_binary64_3341` `distribute-lft-out_binary64_3098` `associate-/r*_binary64_3091`
4×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
3×	`associate-/l*_binary64_3092`
2×	`pow1_binary64_3208` `flip3-+_binary64_3150` `associate-/r/_binary64_3093` `flip-+_binary64_3121`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 807 to 304 computations (62.3% saved)

series89.0ms (3.8%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

58.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
21.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 266 to 229 computations (13.9% saved)

simplify87.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5031	1026

prune45.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Error

Counts

63 → 3

Compiler

Compiled 849 to 372 computations (56.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite331.0ms (14.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

128×	`*-un-lft-identity_binary64_3147`
110×	`times-frac_binary64_3153` `sqrt-prod_binary64_3163`
102×	`add-sqr-sqrt_binary64_3169`
68×	`add-cube-cbrt_binary64_3182`
32×	`swap-sqr_binary64_3114`
27×	`distribute-lft-out_binary64_3098`
24×	`associate-l_binary64_3088` `associate-r_binary64_3087`
21×	`cosh-undef_binary64_3341`
19×	`pow1_binary64_3208`
12×	`associate-/r/_binary64_3093`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
9×	`unswap-sqr_binary64_3115`
8×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-log-exp_binary64_3186` `div-inv_binary64_3144` `associate-/l*_binary64_3092`
5×	`pow-prod-up_binary64_3217`
4×	`rem-sqrt-square_binary64_3160` `sqrt-div_binary64_3164`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `sqr-abs_binary64_3162`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `rem-square-sqrt_binary64_3159` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 206

Calls

4 calls:

30.0ms	(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 6227 to 2707 computations (56.5% saved)

series251.0ms (10.7%)

Error

Counts

4 → 24

Calls

4 calls:

90.0ms	(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
58.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
55.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1108 to 843 computations (23.9% saved)

simplify101.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5074	4599

prune225.0ms (9.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	230	3	233

Error

Counts

233 → 3

Compiler

Compiled 5065 to 2233 computations (55.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `add-sqr-sqrt_binary64_3169` `associate-l_binary64_3088`
2×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
1×	`add-log-exp_binary64_3186` `unswap-sqr_binary64_3115` `associate-r_binary64_3087` `*-commutative_binary64_3078`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 231 to 151 computations (34.6% saved)

series27.0ms (1.2%)

Error

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5148	179

prune13.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 212 to 148 computations (30.2% saved)

regimes62.0ms (2.7%)

Accuracy

Total 0.1b remaining (98.2%)

Threshold costs 0.1b (98.2%)

Compiler

Compiled 570 to 392 computations (31.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	45
1	20	45

end0.0ms (0%)

sample639.0ms (27.3%)

Algorithm

1×

intervals

Results

237.0ms

8000×

body

128

valid

Compiler

Compiled 216 to 145 computations (32.9% saved)

Details

analyze186.0ms (8%)

sample20.0ms (0.9%)

simplify98.0ms (4.2%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite59.0ms (2.5%)

series89.0ms (3.8%)

simplify87.0ms (3.7%)

prune45.0ms (1.9%)

localize10.0ms (0.4%)

rewrite331.0ms (14.2%)

series251.0ms (10.7%)

simplify101.0ms (4.3%)

prune225.0ms (9.6%)

localize4.0ms (0.2%)

rewrite19.0ms (0.8%)

series27.0ms (1.2%)

simplify61.0ms (2.6%)

prune13.0ms (0.6%)

regimes62.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample639.0ms (27.3%)

Profiling