Details

analyze6.8s (24.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4763	1069
1	4763	1069
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample418.0ms (1.5%)

Algorithm

1×

intervals

Results

276.0ms	156×	body	1024	valid
64.0ms	48×	body	512	valid
38.0ms	13×	body	2048	valid
9.0ms	29×	body	128	valid
7.0ms	10×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.7b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_4572` `sin-diff_binary64_4647` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `div-sub_binary64_4516` `add-cube-cbrt_binary64_4546`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series77.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune182.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	31	13	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	13	45

Error

20.2b

Counts

45 → 13

Compiler

Compiled 4044 to 2461 computations (39.1% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.4b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
5×	`pow1_binary64_4572`
4×	`sin-diff_binary64_4647` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `log-pow_binary64_4600` `div-sub_binary64_4516`
3×	`exp-prod_binary64_4563` `log-prod_binary64_4597`
1×	`exp-diff_binary64_4559` `rem-log-exp_binary64_4552` `log-div_binary64_4598`

Counts

4 → 40

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series137.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4940	732
1	4940	732

prune209.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	51	14	65

Error

20.2b

Counts

65 → 14

Compiler

Compiled 4790 to 2935 computations (38.7% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.8b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_4542`
7×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
4×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550`
3×	`sin-diff_binary64_4647` `cube-prod_binary64_4539` `unpow-prod-down_binary64_4590` `div-sub_binary64_4516`
1×	`rem-cbrt-cube_binary64_4535` `pow1/3_binary64_4593` `unpow3_binary64_4577` `sqr-pow_binary64_4483` `cube-mult_binary64_4541`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series88.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune240.0ms (0.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	56	15	71

Error

20.2b

Counts

71 → 15

Compiler

Compiled 5256 to 3240 computations (38.4% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
2.7b	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-pow_binary64_4600` `log-prod_binary64_4597`
10×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
8×	`pow1_binary64_4572` `sqrt-pow1_binary64_4529`
6×	`add-exp-log_binary64_4549` `exp-prod_binary64_4563` `sqrt-prod_binary64_4527`
4×	`sin-diff_binary64_4647` `add-cbrt-cube_binary64_4547` `add-log-exp_binary64_4550` `div-sub_binary64_4516`
2×	`exp-diff_binary64_4559` `rem-log-exp_binary64_4552` `sqrt-div_binary64_4528` `log-div_binary64_4598` `pow1/2_binary64_4591`

Counts

4 → 58

Calls

4 calls:

8.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
7.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series256.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
103.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4895	1236
1	4895	1236

prune275.0ms (1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	2	12	14
Picked	0	1	1
Done	0	0	0
Total	69	16	85

Error

20.2b

Counts

85 → 16

Compiler

Compiled 5860 to 3544 computations (39.5% saved)

regimes2.2s (8.1%)

Accuracy

Total 0.6b remaining (2.5%)

Threshold costs 0.6b (2.5%)

Compiler

Compiled 38285 to 27710 computations (27.6% saved)

bsearch0.0ms (0%)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	462	153
1	462	153

Compiler

Compiled 376 to 284 computations (24.5% saved)

end0.0ms (0%)

sample15.5s (56.9%)

Algorithm

1×

intervals

Results

9.5s	5302×	body	1024	valid
1.4s	1185×	body	512	valid
1.3s	433×	body	2048	valid
291.0ms	374×	body	256	valid
244.0ms	706×	body	128	valid
7.0ms	4×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 2839 to 2058 computations (27.5% saved)

Details

analyze6.8s (24.9%)

sample418.0ms (1.5%)

simplify104.0ms (0.4%)

prune6.0ms (0%)

localize30.0ms (0.1%)

rewrite28.0ms (0.1%)

series77.0ms (0.3%)

simplify156.0ms (0.6%)

prune182.0ms (0.7%)

localize38.0ms (0.1%)

rewrite28.0ms (0.1%)

series137.0ms (0.5%)

simplify96.0ms (0.4%)

prune209.0ms (0.8%)

localize38.0ms (0.1%)

rewrite29.0ms (0.1%)

series88.0ms (0.3%)

simplify82.0ms (0.3%)

prune240.0ms (0.9%)

localize37.0ms (0.1%)

rewrite40.0ms (0.1%)

series256.0ms (0.9%)

simplify125.0ms (0.5%)

prune275.0ms (1%)

regimes2.2s (8.1%)

bsearch0.0ms (0%)

simplify42.0ms (0.2%)

end0.0ms (0%)

sample15.5s (56.9%)

Profiling