Details

analyze503.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	40
1	355	40
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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	255×	body	128	valid
1.0ms	26×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune7.0ms (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 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

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

Compiler

Compiled 336 to 216 computations (35.7% saved)

series103.0ms (2.1%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

92.0ms

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

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune32.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

Counts

41 → 4

Compiler

Compiled 433 to 274 computations (36.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite64.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_3186`
7×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
5×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182`
4×	`sum-log_binary64_3238` `associate-l_binary64_3088`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-r_binary64_3087`
2×	`+-commutative_binary64_3077` `associate-*l/_binary64_3090`
1×	`associate-+l+_binary64_3080` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `distribute-lft-out_binary64_3098` `*-commutative_binary64_3078`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 1001 to 590 computations (41.1% saved)

series353.0ms (7.2%)

Error

Counts

3 → 39

Calls

3 calls:

140.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
135.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
57.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1100 to 775 computations (29.5% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune62.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 1163 to 704 computations (39.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.0b	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite156.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_3147`
21×	`sqrt-prod_binary64_3163`
18×	`sqrt-div_binary64_3164`
17×	`add-sqr-sqrt_binary64_3169`
16×	`associate-r_binary64_3087`
13×	`pow1_binary64_3208`
12×	`distribute-lft-out_binary64_3098`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182`
10×	`associate-*r/_binary64_3089`
9×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `add-log-exp_binary64_3186` `cbrt-unprod_binary64_3180` `frac-times_binary64_3157` `associate-l_binary64_3088`
2×	`associate-l/_binary64_3090` `-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow1/2_binary64_3227` `sqrt-pow1_binary64_3165` `rem-sqrt-square_binary64_3160`

Counts

4 → 91

Calls

4 calls:

16.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
6.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
5.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 2282 to 1583 computations (30.6% saved)

series403.0ms (8.2%)

Error

Counts

4 → 51

Calls

4 calls:

123.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
115.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
60.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
57.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))

Compiler

Compiled 2480 to 1954 computations (21.2% saved)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4950	2421
1	4950	2421

prune146.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 2803 to 1937 computations (30.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
3.2b	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
6.9b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
15.6b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))

rewrite182.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 111

Calls

4 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
12.0ms	(*.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)))

Compiler

Compiled 3243 to 2004 computations (38.2% saved)

series862.0ms (17.5%)

Error

Counts

4 → 57

Calls

4 calls:

369.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
261.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
141.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
41.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))

Compiler

Compiled 2837 to 2154 computations (24.1% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5035	2625

prune159.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	168	4	172

Error

Counts

172 → 4

Compiler

Compiled 3407 to 2074 computations (39.1% saved)

regimes231.0ms (4.7%)

Accuracy

Total 0.0b remaining (94.5%)

Threshold costs 0.0b (94.5%)

Compiler

Compiled 1875 to 1705 computations (9.1% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.3s (25.4%)

Algorithm

1×

intervals

Results

285.0ms	7958×	body	128	valid
23.0ms	665×	body	128	invalid
2.0ms	15×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 383 to 346 computations (9.7% saved)

Details

analyze503.0ms (10.2%)

sample29.0ms (0.6%)

simplify9.0ms (0.2%)

prune7.0ms (0.1%)

localize5.0ms (0.1%)

rewrite30.0ms (0.6%)

series103.0ms (2.1%)

simplify74.0ms (1.5%)

prune32.0ms (0.6%)

localize8.0ms (0.2%)

rewrite64.0ms (1.3%)

series353.0ms (7.2%)

simplify68.0ms (1.4%)

prune62.0ms (1.3%)

localize12.0ms (0.2%)

rewrite156.0ms (3.2%)

series403.0ms (8.2%)

simplify84.0ms (1.7%)

prune146.0ms (3%)

localize10.0ms (0.2%)

rewrite182.0ms (3.7%)

series862.0ms (17.5%)

simplify81.0ms (1.6%)

prune159.0ms (3.2%)

regimes231.0ms (4.7%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.3s (25.4%)

Profiling