Details

analyze324.0ms (13.1%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	253×	body	128	valid
1.0ms	25×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify104.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune4.0ms (0.2%)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3147`
5×	`associate-r_binary64_3087` `add-sqr-sqrt_binary64_3169`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series33.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

33.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4981	321
1	4981	321

prune31.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

Compiler

Compiled 396 to 264 computations (33.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 37))
0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-r_binary64_3087` `pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cube-cbrt_binary64_3182`
3×	`associate-l_binary64_3088`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `distribute-lft-in_binary64_3096` `associate-+r+_binary64_3079` `distribute-rgt-in_binary64_3097` `associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sum-log_binary64_3238`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d3 37))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series63.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
29.0ms	(*.f64 d1 (+.f64 d3 37))

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5233	471

prune36.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

Compiler

Compiled 615 to 361 computations (41.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
1.9b	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
8.2b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
13.8b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))

rewrite48.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_3147`
20×	`add-sqr-sqrt_binary64_3169`
13×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
12×	`add-cube-cbrt_binary64_3182`
8×	`associate-r_binary64_3087` `distribute-lft-out_binary64_3098`
7×	`associate-l_binary64_3088`
6×	`times-frac_binary64_3153` `flip-+_binary64_3121` `swap-sqr_binary64_3114` `associate-/r_binary64_3091` `flip3-+_binary64_3150` `add-log-exp_binary64_3186` `associate-r/_binary64_3089`
4×	`frac-times_binary64_3157` `flip--_binary64_3122` `flip3--_binary64_3151` `distribute-lft-out--_binary64_3099` `difference-of-squares_binary64_3116` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
3×	`cancel-sign-sub-inv_binary64_3113` `sub-neg_binary64_3140` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `associate-/l/_binary64_3094` `associate--r+_binary64_3083` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `pow-plus_binary64_3210` `pow2_binary64_3228` `pow-prod-up_binary64_3217` `diff-log_binary64_3239` `associate-/l*_binary64_3092` `pow-sqr_binary64_3120` `div-inv_binary64_3144`

Counts

4 → 111

Calls

4 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
10.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))

series266.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
97.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
27.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
8.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4998	1937
1	4998	1937

prune126.0ms (5.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

Compiler

Compiled 2703 to 1697 computations (37.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 d2 (+.f64 d3 37)))
0.3b	(/.f64 d1 (/.f64 1 (+.f64 d2 (+.f64 d3 37))))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64_3147`
138×	`times-frac_binary64_3153`
70×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
48×	`distribute-lft-out_binary64_3098`
26×	`associate-/r*_binary64_3091`
15×	`add-exp-log_binary64_3185`
11×	`associate-/r/_binary64_3093`
9×	`add-cbrt-cube_binary64_3183`
8×	`div-exp_binary64_3198`
6×	`associate-/l*_binary64_3092` `div-inv_binary64_3144`
5×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
4×	`cbrt-undiv_binary64_3181`
3×	`pow1_binary64_3208`
2×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `add-log-exp_binary64_3186` `1-exp_binary64_3191` `rec-exp_binary64_3197`
1×	`inv-pow_binary64_3232` `pow-flip_binary64_3221`

Counts

2 → 145

Calls

2 calls:

12.0ms	(/.f64 d1 (/.f64 1 (+.f64 d2 (+.f64 d3 37))))
7.0ms	(/.f64 1 (+.f64 d2 (+.f64 d3 37)))

series54.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 d1 (/.f64 1 (+.f64 d2 (+.f64 d3 37))))
20.0ms	(/.f64 1 (+.f64 d2 (+.f64 d3 37)))

simplify85.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4951	2918
1	4951	2918

prune133.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0b

Counts

155 → 4

Compiler

Compiled 2451 to 1618 computations (34% saved)

regimes119.0ms (4.8%)

Compiler: Compiled 943 to 820 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample734.0ms (29.6%)

Algorithm

1×

intervals

Results

278.0ms	7954×	body	128	valid
26.0ms	687×	body	128	invalid
4.0ms	18×	body	512	valid
2.0ms	13×	body	1024	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 211 to 184 computations (12.8% saved)

Details

analyze324.0ms (13.1%)

sample17.0ms (0.7%)

simplify104.0ms (4.2%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series33.0ms (1.3%)

simplify72.0ms (2.9%)

prune31.0ms (1.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.5%)

series63.0ms (2.5%)

simplify65.0ms (2.6%)

prune36.0ms (1.4%)

localize10.0ms (0.4%)

rewrite48.0ms (1.9%)

series266.0ms (10.7%)

simplify69.0ms (2.8%)

prune126.0ms (5.1%)

localize6.0ms (0.3%)

rewrite40.0ms (1.6%)

series54.0ms (2.2%)

simplify85.0ms (3.4%)

prune133.0ms (5.4%)

regimes119.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample734.0ms (29.6%)

Profiling