Details

analyze2.3s (17.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5205	200
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
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample125.0ms (1%)

Algorithm

1×

intervals

Results

59.0ms	67×	body	1024	valid
22.0ms	142×	body	128	valid
22.0ms	33×	body	512	valid
5.0ms	13×	body	256	valid
2.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify241.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	1604	50
1	1604	50

prune4.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 ew (cos.f64 t))
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite116.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
12×	`add-sqr-sqrt_binary64_1123`
10×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
6×	`pow1_binary64_1162` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`distribute-lft-neg-out_binary64_1060` `distribute-frac-neg_binary64_1064` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `tan-quot_binary64_1260` `associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/l_binary64_1046`
1×	`cos-atan_binary64_1280` `atan-neg_binary64_1285` `cos-neg_binary64_1232` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032`

Counts

4 → 73

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(*.f64 ew (cos.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2617 to 466 computations (82.2% saved)

series999.0ms (7.7%)

Error

0.1b

Counts

4 → 35

Calls

4 calls:

388.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
334.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
164.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
76.0ms	(*.f64 ew (cos.f64 t))

Compiler

Compiled 3378 to 1808 computations (46.5% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5614	1377

prune131.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

0.1b

Counts

109 → 5

Compiler

Compiled 3772 to 576 computations (84.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
2.9b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
8.7b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 eh (tan.f64 t)) ew) (/.f64 (*.f64 eh (tan.f64 t)) ew))))

rewrite139.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
12×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
6×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`pow1_binary64_1162`
4×	`add-log-exp_binary64_1140`
3×	`sqrt-prod_binary64_1117` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `tan-quot_binary64_1260` `associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/l_binary64_1046`
2×	`sqrt-div_binary64_1118`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `flip-+_binary64_1075` `rem-sqrt-square_binary64_1114` `distribute-lft-neg-out_binary64_1060` `distribute-frac-neg_binary64_1064`

Counts

4 → 82

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 eh (tan.f64 t)) ew) (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 3818 to 1006 computations (73.7% saved)

series1.4s (10.8%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

435.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 eh (tan.f64 t)) ew) (/.f64 (*.f64 eh (tan.f64 t)) ew))))
314.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
297.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
285.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)

Compiler

Compiled 5356 to 2898 computations (45.9% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	2090
1	4968	2090

prune173.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	127	5	132

Error

0.1b

Counts

132 → 5

Compiler

Compiled 5571 to 1469 computations (73.6% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite107.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`distribute-lft-neg-out_binary64_1060` `distribute-frac-neg_binary64_1064` `cbrt-prod_binary64_1132`
2×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `tan-quot_binary64_1260` `associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/l_binary64_1046`
1×	`cos-atan_binary64_1280` `atan-neg_binary64_1285` `cos-neg_binary64_1232` `pow1/3_binary64_1183`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 (cos.f64 t))

Compiler

Compiled 2962 to 441 computations (85.1% saved)

series916.0ms (7.1%)

Error

0.1b

Counts

4 → 32

Calls

4 calls:

321.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
306.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
171.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
80.0ms	(cbrt.f64 (cos.f64 t))

Compiler

Compiled 3949 to 1915 computations (51.5% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5619	1286

prune125.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Error

0.1b

Counts

103 → 6

Compiler

Compiled 4288 to 541 computations (87.4% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.9b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite103.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
3×	`distribute-lft-neg-out_binary64_1060` `distribute-frac-neg_binary64_1064` `cbrt-prod_binary64_1132`
2×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `tan-quot_binary64_1260` `associate-r/_binary64_1043` `associate-/l/_binary64_1048` `associate-/l_binary64_1046`
1×	`cos-atan_binary64_1280` `atan-neg_binary64_1285` `cos-neg_binary64_1232` `pow1/3_binary64_1183`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
1.0ms	(cbrt.f64 ew)

Compiler

Compiled 2822 to 449 computations (84.1% saved)

series900.0ms (7%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

308.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
298.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
177.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
86.0ms	(cbrt.f64 ew)

Compiler

Compiled 3591 to 1837 computations (48.8% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5079	1220

prune110.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	95	7	102

Error

0.1b

Counts

102 → 7

Compiler

Compiled 3843 to 461 computations (88% saved)

regimes343.0ms (2.7%)

Accuracy

Total 0.0b remaining (39.3%)

Threshold costs 0.0b (39.3%)

Compiler

Compiled 4644 to 2788 computations (40% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	50
1	88	50

end0.0ms (0%)

sample4.4s (33.8%)

Algorithm

1×

intervals

Results

1.8s	1968×	body	1024	valid
742.0ms	4489×	body	128	valid
593.0ms	1011×	body	512	valid
193.0ms	525×	body	256	valid
11.0ms	7×	body	2048	valid

Compiler

Compiled 965 to 580 computations (39.9% saved)

Details

analyze2.3s (17.7%)

sample125.0ms (1%)

simplify241.0ms (1.9%)

prune4.0ms (0%)

localize27.0ms (0.2%)

rewrite116.0ms (0.9%)

series999.0ms (7.7%)

simplify55.0ms (0.4%)

prune131.0ms (1%)

localize28.0ms (0.2%)

rewrite139.0ms (1.1%)

series1.4s (10.8%)

simplify67.0ms (0.5%)

prune173.0ms (1.3%)

localize29.0ms (0.2%)

rewrite107.0ms (0.8%)

series916.0ms (7.1%)

simplify57.0ms (0.4%)

prune125.0ms (1%)

localize29.0ms (0.2%)

rewrite103.0ms (0.8%)

series900.0ms (7%)

simplify58.0ms (0.4%)

prune110.0ms (0.9%)

regimes343.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.4s (33.8%)

Profiling