Details

analyze6.3s (23.6%)

Algorithm

1×

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)

sample405.0ms (1.5%)

Algorithm

1×

intervals

Results

271.0ms	156×	body	1024	valid
55.0ms	48×	body	512	valid
41.0ms	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)

simplify196.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune7.0ms (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)

localize35.0ms (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))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-exp-log_binary64_4890` `div-sub_binary64_4857` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874` `pow1_binary64_4913` `sin-diff_binary64_4988`

Counts

4 → 32

Calls

4 calls:

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

series83.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(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))
19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify159.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune186.0ms (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)

localize36.0ms (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))))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
5×	`pow1_binary64_4913`
4×	`add-exp-log_binary64_4890` `div-sub_binary64_4857` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `sin-diff_binary64_4988` `log-pow_binary64_4941`
3×	`log-prod_binary64_4938` `exp-prod_binary64_4904`
1×	`exp-diff_binary64_4900` `rem-log-exp_binary64_4893` `log-div_binary64_4939`

Counts

4 → 40

Calls

4 calls:

8.0ms	(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))

series122.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
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))

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4940	732
1	4940	732

prune211.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	50	15	65

Error

20.2b

Counts

65 → 15

Compiler

Compiled 4859 to 2985 computations (38.6% 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))
2.0b	(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_4883`
7×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `pow1_binary64_4913`
3×	`cube-prod_binary64_4880` `div-sub_binary64_4857` `unpow-prod-down_binary64_4931` `sin-diff_binary64_4988`
1×	`cube-mult_binary64_4882` `pow1/3_binary64_4934` `unpow3_binary64_4918` `rem-cbrt-cube_binary64_4876` `sqr-pow_binary64_4824`

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))

series87.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(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))
21.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify86.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune237.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	56	16	72

Error

20.2b

Counts

72 → 16

Compiler

Compiled 5328 to 3290 computations (38.3% saved)

localize40.0ms (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)))))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_4938` `log-pow_binary64_4941`
10×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
8×	`sqrt-pow1_binary64_4870` `pow1_binary64_4913`
6×	`add-exp-log_binary64_4890` `exp-prod_binary64_4904` `sqrt-prod_binary64_4868`
4×	`div-sub_binary64_4857` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `sin-diff_binary64_4988`
2×	`pow1/2_binary64_4932` `exp-diff_binary64_4900` `sqrt-div_binary64_4869` `rem-log-exp_binary64_4893` `log-div_binary64_4939`

Counts

4 → 58

Calls

4 calls:

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

series260.0ms (1%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
104.0ms	(log.f64 (sqrt.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)))))
24.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4895	1236
1	4895	1236

prune288.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	70	16	86

Error

20.2b

Counts

86 → 16

Compiler

Compiled 5860 to 3544 computations (39.5% saved)

regimes2.3s (8.6%)

Accuracy

Total 0.6b remaining (2.5%)

Threshold costs 0.6b (2.5%)

Compiler

Compiled 39890 to 28850 computations (27.7% saved)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	462	153
1	462	153

end0.0ms (0%)

sample15.4s (57.2%)

Algorithm

1×

intervals

Results

9.4s	5302×	body	1024	valid
1.4s	1185×	body	512	valid
1.3s	433×	body	2048	valid
271.0ms	374×	body	256	valid
227.0ms	706×	body	128	valid
6.0ms	4×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 2946 to 2134 computations (27.6% saved)

Details

analyze6.3s (23.6%)

sample405.0ms (1.5%)

simplify196.0ms (0.7%)

prune7.0ms (0%)

localize35.0ms (0.1%)

rewrite26.0ms (0.1%)

series83.0ms (0.3%)

simplify159.0ms (0.6%)

prune186.0ms (0.7%)

localize36.0ms (0.1%)

rewrite31.0ms (0.1%)

series122.0ms (0.5%)

simplify101.0ms (0.4%)

prune211.0ms (0.8%)

localize37.0ms (0.1%)

rewrite29.0ms (0.1%)

series87.0ms (0.3%)

simplify86.0ms (0.3%)

prune237.0ms (0.9%)

localize40.0ms (0.1%)

rewrite37.0ms (0.1%)

series260.0ms (1%)

simplify127.0ms (0.5%)

prune288.0ms (1.1%)

regimes2.3s (8.6%)

bsearch0.0ms (0%)

simplify21.0ms (0.1%)

end0.0ms (0%)

sample15.4s (57.2%)

Profiling