Details

analyze10.5s (24.4%)

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

Symmetry

(sort lambda1 lambda2)

(sort phi1 phi2)

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample636.0ms (1.5%)

Algorithm

1×

intervals

Results

442.0ms	167×	body	1024	valid
59.0ms	14×	body	2048	valid
55.0ms	34×	body	512	valid
17.0ms	16×	body	256	valid
12.0ms	25×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify140.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune10.0ms (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

22.5b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite190.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

4×	`div-sub_binary64_1788` `sin-diff_binary64_1919` `pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`

Counts

4 → 32

Calls

4 calls:

10.0ms	(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))

Compiler

Compiled 2328 to 1346 computations (42.2% saved)

series606.0ms (1.4%)

Error

21.8b

Counts

4 → 42

Calls

4 calls:

109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
107.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
90.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7382 to 4969 computations (32.7% saved)

simplify143.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4940	1184
1	4940	1184

prune465.0ms (1.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	56	18	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	18	75

Error

21.7b

Counts

75 → 18

Compiler

Compiled 6526 to 3975 computations (39.1% saved)

localize52.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite247.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811` `div-sub_binary64_1788` `sin-diff_binary64_1919`
1×	`pow1/3_binary64_1865` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807`

Counts

4 → 45

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
10.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 3459 to 2059 computations (40.5% saved)

series674.0ms (1.6%)

Error

21.7b

Counts

4 → 42

Calls

4 calls:

145.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
133.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
119.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
104.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7610 to 5197 computations (31.7% saved)

simplify138.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4935	1381
1	4935	1381

prune542.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	6	11	17
Picked	1	0	1
Done	0	0	0
Total	88	17	105

Error

21.7b

Counts

105 → 17

Compiler

Compiled 7559 to 4643 computations (38.6% saved)

localize56.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite382.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

24×	`cbrt-prod_binary64_1814`
10×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1/3_binary64_1865` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807` `div-sub_binary64_1788` `sin-diff_binary64_1919`

Counts

4 → 58

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4668 to 2850 computations (38.9% saved)

series598.0ms (1.4%)

Error

21.7b

Counts

4 → 39

Calls

4 calls:

117.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
108.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
86.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7461 to 5168 computations (30.7% saved)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4935	1504
1	4935	1504

prune493.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	96	18	114

Error

21.6b

Counts

114 → 18

Compiler

Compiled 8492 to 5271 computations (37.9% saved)

localize59.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite236.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

21.6b

Rules

12×	`cbrt-prod_binary64_1814`
7×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811` `div-sub_binary64_1788` `sin-diff_binary64_1919`
1×	`pow1/3_binary64_1865` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `rem-cbrt-cube_binary64_1807`

Counts

4 → 45

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
10.0ms	(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))

Compiler

Compiled 3684 to 2284 computations (38% saved)

series680.0ms (1.6%)

Error

21.6b

Counts

4 → 42

Calls

4 calls:

130.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
113.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
109.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 8130 to 5717 computations (29.7% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4935	1381
1	4935	1381

prune377.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	14	16
Picked	1	0	1
Done	0	1	1
Total	88	17	105

Error

21.6b

Counts

105 → 17

Compiler

Compiled 6749 to 4166 computations (38.3% saved)

regimes4.2s (9.8%)

Accuracy

Total 1.3b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 59620 to 43540 computations (27% saved)

bsearch0.0ms (0%)

simplify49.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	108
1	124	108

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 272 to 196 computations (27.9% saved)

end0.0ms (0%)

sample21.3s (49.4%)

Algorithm

1×

intervals

Results

11.4s	5245×	body	1024	valid
1.8s	1230×	body	512	valid
1.7s	435×	body	2048	valid
341.0ms	392×	body	256	valid
284.0ms	698×	body	128	valid
3.0ms	2×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 5063 to 3695 computations (27% saved)

Details

analyze10.5s (24.4%)

sample636.0ms (1.5%)

simplify140.0ms (0.3%)

prune10.0ms (0%)

localize48.0ms (0.1%)

rewrite190.0ms (0.4%)

series606.0ms (1.4%)

simplify143.0ms (0.3%)

prune465.0ms (1.1%)

localize52.0ms (0.1%)

rewrite247.0ms (0.6%)

series674.0ms (1.6%)

simplify138.0ms (0.3%)

prune542.0ms (1.3%)

localize56.0ms (0.1%)

rewrite382.0ms (0.9%)

series598.0ms (1.4%)

simplify121.0ms (0.3%)

prune493.0ms (1.1%)

localize59.0ms (0.1%)

rewrite236.0ms (0.5%)

series680.0ms (1.6%)

simplify94.0ms (0.2%)

prune377.0ms (0.9%)

regimes4.2s (9.8%)

bsearch0.0ms (0%)

simplify49.0ms (0.1%)

end0.0ms (0%)

sample21.3s (49.4%)

Profiling