Details

analyze1.1s (14.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample81.0ms (1%)

Algorithm

1×

intervals

Results

23.0ms	338×	body	128	nan
21.0ms	256×	body	128	valid
3.0ms	40×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify148.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune3.0ms (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 42 to 40 computations (4.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-log-exp_binary64_1140`
20×	`add-sqr-sqrt_binary64_1123`
18×	`*-un-lft-identity_binary64_1101` `log-prod_binary64_1187`
14×	`add-cube-cbrt_binary64_1136`
13×	`sum-log_binary64_1192`
10×	`pow1_binary64_1162`
9×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l_binary64_1042`
6×	`associate-+r+_binary64_1033` `associate-*l/_binary64_1044`
4×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `frac-add_binary64_1109`
3×	`flip--_binary64_1076` `flip3--_binary64_1105`
2×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `log-pow_binary64_1190` `unswap-sqr_binary64_1069` `associate-+l+_binary64_1034`
1×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053`

Counts

4 → 93

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
5.0ms	(*.f64 x (log.f64 y))

series342.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
39.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
38.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
33.0ms	(*.f64 x (log.f64 y))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5097	2109

prune131.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Error

0.0b

Counts

106 → 7

Compiler

Compiled 3166 to 1169 computations (63.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_1187`
33×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
24×	`add-sqr-sqrt_binary64_1123` `cbrt-prod_binary64_1132` `associate-+l+_binary64_1034`
22×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`associate-+r+_binary64_1033`
8×	`associate-*l/_binary64_1044`
7×	`pow1_binary64_1162`
6×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`flip--_binary64_1076` `flip3--_binary64_1105` `associate-r_binary64_1041` `frac-add_binary64_1109`
3×	`associate-l_binary64_1042`
2×	`pow1/3_binary64_1183`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `log-pow_binary64_1190` `unswap-sqr_binary64_1069`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series346.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
93.0ms	(cbrt.f64 c)
86.0ms	(cbrt.f64 c)
27.0ms	(*.f64 x (log.f64 y))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5908	1542

prune157.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Compiler

Compiled 4142 to 1736 computations (58.1% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 c))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1132`
9×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 c))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series372.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (cbrt.f64 c))
88.0ms	(cbrt.f64 c)
85.0ms	(cbrt.f64 c)
79.0ms	(cbrt.f64 c)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4984	391
1	4984	391

prune93.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Error

0.0b

Counts

66 → 7

Compiler

Compiled 2560 to 1006 computations (60.7% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_1187`
36×	`distribute-lft-in_binary64_1050` `distribute-rgt-in_binary64_1051`
30×	`cbrt-prod_binary64_1132`
26×	`add-sqr-sqrt_binary64_1123`
24×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-+l+_binary64_1034`
12×	`associate-+r+_binary64_1033`
7×	`pow1_binary64_1162`
6×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`associate-r_binary64_1041`
3×	`pow1/3_binary64_1183` `associate-l_binary64_1042`
2×	`log-pow_binary64_1190`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`

Counts

4 → 102

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series512.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
74.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
70.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4850	1278
1	4850	1278

prune159.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	113	8	121

Error

0.0b

Counts

121 → 8

Compiler

Compiled 3798 to 1661 computations (56.3% saved)

regimes752.0ms (9.7%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 9893 to 8676 computations (12.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	61
1	51	61

end0.0ms (0%)

sample3.0s (39%)

Algorithm

1×

intervals

Results

710.0ms	9726×	body	128	nan
676.0ms	7996×	body	128	valid
104.0ms	1244×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 790 to 686 computations (13.2% saved)

Details

analyze1.1s (14.8%)

sample81.0ms (1%)

simplify148.0ms (1.9%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite49.0ms (0.6%)

series342.0ms (4.4%)

simplify52.0ms (0.7%)

prune131.0ms (1.7%)

localize23.0ms (0.3%)

rewrite38.0ms (0.5%)

series346.0ms (4.5%)

simplify49.0ms (0.6%)

prune157.0ms (2%)

localize33.0ms (0.4%)

rewrite11.0ms (0.1%)

series372.0ms (4.8%)

simplify31.0ms (0.4%)

prune93.0ms (1.2%)

localize28.0ms (0.4%)

rewrite33.0ms (0.4%)

series512.0ms (6.6%)

simplify120.0ms (1.5%)

prune159.0ms (2.1%)

regimes752.0ms (9.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.0s (39%)

Profiling