Details

analyze1.9s (12.1%)

Algorithm

1×

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)

sample169.0ms (1.1%)

Algorithm

1×

intervals

Results

32.0ms	67×	body	4096	valid
30.0ms	396×	body	128	nan
25.0ms	33×	body	8192	valid
18.0ms	45×	body	2048	valid
12.0ms	134×	body	128	invalid
6.0ms	72×	body	128	valid
6.0ms	18×	body	1024	valid
2.0ms	10×	body	512	valid
2.0ms	11×	body	256	valid
1.0ms	3×	body	2048	invalid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune5.0ms (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

59.0b

Counts

2 → 1

Compiler

Compiled 98 to 48 computations (51% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.1b	(+.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))))

rewrite127.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
45×	`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 → 143

Calls

4 calls:

52.0ms	(+.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))))
14.0ms	(/.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series2.0s (12.8%)

Counts

4 → 71

Calls

4 calls:

587.0ms	(+.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))))
481.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
477.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
450.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 5972 to 3782 computations (36.7% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5046	5195

prune316.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	7	215

Error

35.5b

Counts

215 → 7

Compiler

Compiled 11193 to 2090 computations (81.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.9b	(.f64 h (.f64 D D))
12.5b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
12.5b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
16.8b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))

rewrite140.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

819×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
557×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
148×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
35×	`pow1_binary64_1162`
21×	`pow-prod-down_binary64_1172`
11×	`associate-l_binary64_1042`
8×	`add-sqr-sqrt_binary64_1123`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
3×	`-commutative_binary64_1032` `associate-r/_binary64_1043` `associate-r_binary64_1041`
2×	`div-inv_binary64_1098`
1×	`frac-times_binary64_1111` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044` `associate-/r*_binary64_1045`

Counts

4 → 285

Calls

4 calls:

32.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
20.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
11.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
6.0ms	(.f64 h (.f64 D D))

series1.4s (9.3%)

Counts

4 → 51

Calls

4 calls:

684.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
553.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
149.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
63.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5474	9642

prune334.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	331	5	336
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	333	10	343

Error

26.4b

Counts

343 → 10

Compiler

Compiled 9090 to 2636 computations (71% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

8.9b	(.f64 h (.f64 D D))
12.5b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
16.6b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
29×	`pow1_binary64_1162`
18×	`pow-prod-down_binary64_1172`
14×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`add-sqr-sqrt_binary64_1123`
4×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-l*_binary64_1042`
3×	`add-log-exp_binary64_1140`
2×	`-commutative_binary64_1032` `associate-r*_binary64_1041`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`

Counts

3 → 88

Calls

3 calls:

15.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
11.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
6.0ms	(.f64 h (.f64 D D))

series539.0ms (3.5%)

Counts

3 → 27

Calls

3 calls:

333.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
148.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
58.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 810 to 876 computations (-8.1% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4987	1788
1	4987	1788

prune114.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	109	16	125

Error

21.5b

Counts

125 → 16

Compiler

Compiled 2383 to 840 computations (64.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.6b	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
4.2b	(.f64 M (.f64 h (*.f64 D D)))
8.9b	(.f64 h (.f64 D D))
16.6b	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
44×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
32×	`pow1_binary64_1162`
19×	`pow-prod-down_binary64_1172`
10×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
8×	`add-sqr-sqrt_binary64_1123`
7×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-l*_binary64_1042`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`

Counts

4 → 97

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))
10.0ms	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
7.0ms	(.f64 M (.f64 h (*.f64 D D)))
6.0ms	(.f64 h (.f64 D D))

series625.0ms (4%)

Counts

4 → 36

Calls

4 calls:

299.0ms	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))
142.0ms	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
126.0ms	(.f64 M (.f64 h (*.f64 D D)))
58.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1080 to 1146 computations (-6.1% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5021	1927

prune97.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	131	18	149

Error

19.0b

Counts

149 → 18

Compiler

Compiled 2332 to 572 computations (75.5% saved)

regimes1.2s (7.9%)

Accuracy

Total 6.8b remaining (25.9%)

Threshold costs 0b (0%)

Compiler

Compiled 17142 to 11217 computations (34.6% saved)

bsearch7.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	304
1	80	304

end0.0ms (0%)

sample5.8s (37.6%)

Algorithm

1×

intervals

Results

1.0s	2089×	body	4096	valid
931.0ms	12028×	body	128	nan
701.0ms	1153×	body	8192	valid
505.0ms	1278×	body	2048	valid
327.0ms	4073×	body	128	invalid
196.0ms	633×	body	1024	valid
188.0ms	2339×	body	128	valid
79.0ms	330×	body	512	valid
27.0ms	71×	body	2048	invalid
27.0ms	178×	body	256	valid
17.0ms	59×	body	1024	invalid
8.0ms	36×	body	512	invalid
4.0ms	6×	body	8192	exit
3.0ms	20×	body	256	invalid
3.0ms	6×	body	4096	invalid

Compiler

Compiled 1626 to 976 computations (40% saved)

Details

analyze1.9s (12.1%)

sample169.0ms (1.1%)

simplify131.0ms (0.8%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite127.0ms (0.8%)

series2.0s (12.8%)

simplify106.0ms (0.7%)

prune316.0ms (2%)

localize19.0ms (0.1%)

rewrite140.0ms (0.9%)

series1.4s (9.3%)

simplify140.0ms (0.9%)

prune334.0ms (2.1%)

localize10.0ms (0.1%)

rewrite41.0ms (0.3%)

series539.0ms (3.5%)

simplify76.0ms (0.5%)

prune114.0ms (0.7%)

localize10.0ms (0.1%)

rewrite46.0ms (0.3%)

series625.0ms (4%)

simplify63.0ms (0.4%)

prune97.0ms (0.6%)

regimes1.2s (7.9%)

bsearch7.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.8s (37.6%)

Profiling