Details

analyze7.2s (18.3%)

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)

sample443.0ms (1.1%)

Algorithm

1×

intervals

Results

302.0ms	169×	body	1024	valid
45.0ms	15×	body	2048	valid
39.0ms	35×	body	512	valid
11.0ms	16×	body	256	valid
6.0ms	21×	body	128	valid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify103.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	103

prune8.0ms (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

23.2b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite193.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

22.8b

Rules

4×	`div-sub_binary64_1106` `sin-diff_binary64_1237` `pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`

Counts

4 → 32

Calls

4 calls:

6.0ms	(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)

series699.0ms (1.8%)

Error

22.5b

Counts

4 → 48

Calls

4 calls:

125.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
114.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
111.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
110.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7592 to 5171 computations (31.9% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4940	1412
1	4940	1412

prune397.0ms (1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	61	19	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	19	81

Error

22.4b

Counts

81 → 19

Compiler

Compiled 6355 to 3923 computations (38.3% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite324.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

22.4b

Rules

12×	`cbrt-prod_binary64_1132`
7×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129` `div-sub_binary64_1106` `sin-diff_binary64_1237`
1×	`pow1/3_binary64_1183` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073` `rem-cbrt-cube_binary64_1125`

Counts

4 → 45

Calls

4 calls:

7.0ms	(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))

Compiler

Compiled 3218 to 1914 computations (40.5% saved)

series818.0ms (2.1%)

Error

22.4b

Counts

4 → 48

Calls

4 calls:

122.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
117.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
116.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
115.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7826 to 5405 computations (30.9% saved)

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4935	1609
1	4935	1609

prune594.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	93	19	112

Error

22.3b

Counts

112 → 19

Compiler

Compiled 6837 to 4278 computations (37.4% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.1b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite367.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

6×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
5×	`pow1_binary64_1162`
4×	`log-pow_binary64_1190` `div-sub_binary64_1106` `sin-diff_binary64_1237` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`exp-prod_binary64_1153` `log-prod_binary64_1187`
1×	`exp-diff_binary64_1149` `log-div_binary64_1188` `rem-log-exp_binary64_1142`

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))

Compiler

Compiled 2864 to 1690 computations (41% saved)

series1.0s (2.6%)

Error

22.3b

Counts

4 → 48

Calls

4 calls:

330.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
122.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
116.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
115.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 7536 to 5227 computations (30.6% saved)

simplify109.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4937	1532
1	4937	1532

prune587.0ms (1.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	87	20	107

Error

22.3b

Counts

107 → 20

Compiler

Compiled 6970 to 4326 computations (37.9% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.5b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite531.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

22.3b

Rules

24×	`cbrt-prod_binary64_1132`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`unpow-prod-down_binary64_1180` `cube-prod_binary64_1129`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`pow1/3_binary64_1183` `unpow3_binary64_1167` `cube-mult_binary64_1131` `sqr-pow_binary64_1073` `rem-cbrt-cube_binary64_1125` `div-sub_binary64_1106` `sin-diff_binary64_1237`

Counts

4 → 58

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Compiler

Compiled 4168 to 2542 computations (39% saved)

series857.0ms (2.2%)

Error

22.3b

Counts

4 → 48

Calls

4 calls:

126.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
122.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
122.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
121.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

Compiler

Compiled 8060 to 5639 computations (30% saved)

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4935	1846
1	4935	1846

prune670.0ms (1.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	105	21	126

Error

22.3b

Counts

126 → 21

Compiler

Compiled 5917 to 3612 computations (39% saved)

regimes9.6s (24.3%)

Accuracy

Total 1.0b remaining (4.2%)

Threshold costs 0b (0%)

Compiler

Compiled 142502 to 104052 computations (27% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	136	142
1	136	142

end49.0ms (0.1%)

Remove

(sort phi1 phi2)

(sort lambda1 lambda2)

Compiler

Compiled 445 to 320 computations (28.1% saved)

sample14.4s (36.6%)

Algorithm

1×

intervals

Results

9.1s	5299×	body	1024	valid
1.6s	1188×	body	512	valid
1.3s	447×	body	2048	valid
283.0ms	390×	body	256	valid
212.0ms	676×	body	128	valid
5.0ms	3×	body	1024	invalid
1.0ms	1×	body	256	invalid

Compiler

Compiled 1718 to 1274 computations (25.8% saved)

Details

analyze7.2s (18.3%)

sample443.0ms (1.1%)

simplify103.0ms (0.3%)

prune8.0ms (0%)

localize36.0ms (0.1%)

rewrite193.0ms (0.5%)

series699.0ms (1.8%)

simplify90.0ms (0.2%)

prune397.0ms (1%)

localize43.0ms (0.1%)

rewrite324.0ms (0.8%)

series818.0ms (2.1%)

simplify78.0ms (0.2%)

prune594.0ms (1.5%)

localize42.0ms (0.1%)

rewrite367.0ms (0.9%)

series1.0s (2.6%)

simplify109.0ms (0.3%)

prune587.0ms (1.5%)

localize40.0ms (0.1%)

rewrite531.0ms (1.3%)

series857.0ms (2.2%)

simplify77.0ms (0.2%)

prune670.0ms (1.7%)

regimes9.6s (24.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end49.0ms (0.1%)

sample14.4s (36.6%)

Profiling