Details

analyze2.6s (18.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5624	1248
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample188.0ms (1.4%)

Algorithm

1×

intervals

Results

38.0ms	61×	body	4096	valid
34.0ms	49×	body	8192	valid
32.0ms	370×	body	128	nan
15.0ms	35×	body	2048	valid
12.0ms	134×	body	128	invalid
8.0ms	24×	body	1024	valid
7.0ms	76×	body	128	valid
2.0ms	8×	body	512	valid
1.0ms	4×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	3×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (0.1%)

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

57.9b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
31.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite164.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

151×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
82×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
32×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
11×	`*-un-lft-identity_binary64_1101`
9×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `associate-l_binary64_1042`
6×	`add-log-exp_binary64_1140` `pow1_binary64_1162` `sqrt-div_binary64_1118` `frac-add_binary64_1109`
5×	`times-frac_binary64_1107`
4×	`frac-times_binary64_1111` `associate-r/_binary64_1043` `associate-r*_binary64_1041`
3×	`flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `div-inv_binary64_1098` `flip-+_binary64_1075`
2×	`distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
1×	`-commutative_binary64_1032` `sum-log_binary64_1192` `distribute-lft-in_binary64_1050` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044` `distribute-rgt-in_binary64_1051`

Counts

4 → 138

Calls

4 calls:

62.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
48.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.2s (8.4%)

Counts

4 → 12

Calls

4 calls:

658.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M)))))
312.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
98.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
92.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5046	6313

prune264.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	7	150
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	144	8	152

Error

28.8b

Counts

152 → 8

Compiler

Compiled 9477 to 2139 computations (77.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune16.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

28.8b

Counts

8 → 8

Compiler

Compiled 504 to 203 computations (59.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
34.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))

rewrite101.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
82×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
34×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 121

Calls

4 calls:

43.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
10.0ms	(/.f64 (.f64 d d) (.f64 D D))

series531.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

309.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (.f64 M M))))
108.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
93.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5001	3343

prune204.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	131	10	141

Error

28.8b

Counts

141 → 10

Compiler

Compiled 7783 to 1694 computations (78.2% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.1b	(/.f64 (.f64 d d) (.f64 D D))
13.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
33.1b	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))

rewrite92.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
47×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
23×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118` `frac-add_binary64_1109`
4×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`frac-times_binary64_1111` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 102

Calls

4 calls:

47.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
6.0ms	(/.f64 (.f64 d d) (.f64 D D))
6.0ms	(/.f64 (.f64 d d) (.f64 D D))

series713.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

573.0ms	(+.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 d d) (.f64 D D)))) (*.f64 M M))))
101.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.0ms	(/.f64 (.f64 d d) (.f64 D D))
19.0ms	(/.f64 (.f64 d d) (.f64 D D))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5075	3131

prune170.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	2	5	7
Picked	1	0	1
Done	0	2	2
Total	113	11	124

Error

28.5b

Counts

124 → 11

Compiler

Compiled 6492 to 1450 computations (77.7% saved)

regimes804.0ms (5.8%)

Accuracy

Total 1.6b remaining (5%)

Threshold costs 0b (0%)

Compiler

Compiled 15864 to 7856 computations (50.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample6.4s (46.3%)

Algorithm

1×

intervals

Results

1.2s	2111×	body	4096	valid
1.0s	11742×	body	128	nan
822.0ms	1195×	body	8192	valid
541.0ms	1229×	body	2048	valid
359.0ms	3939×	body	128	invalid
230.0ms	656×	body	1024	valid
210.0ms	2348×	body	128	valid
81.0ms	309×	body	512	valid
26.0ms	152×	body	256	valid
24.0ms	57×	body	2048	invalid
18.0ms	54×	body	1024	invalid
11.0ms	43×	body	512	invalid
6.0ms	9×	body	8192	exit
5.0ms	9×	body	4096	invalid
4.0ms	25×	body	256	invalid

Compiler

Compiled 1734 to 827 computations (52.3% saved)

Details

analyze2.6s (18.8%)

sample188.0ms (1.4%)

simplify44.0ms (0.3%)

prune7.0ms (0.1%)

localize25.0ms (0.2%)

rewrite164.0ms (1.2%)

series1.2s (8.4%)

simplify108.0ms (0.8%)

prune264.0ms (1.9%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune16.0ms (0.1%)

localize30.0ms (0.2%)

rewrite101.0ms (0.7%)

series531.0ms (3.9%)

simplify76.0ms (0.6%)

prune204.0ms (1.5%)

localize28.0ms (0.2%)

rewrite92.0ms (0.7%)

series713.0ms (5.2%)

simplify72.0ms (0.5%)

prune170.0ms (1.2%)

regimes804.0ms (5.8%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.4s (46.3%)

Profiling