Details

analyze2.0s (8.9%)

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)

sample166.0ms (0.7%)

Algorithm

1×

intervals

Results

41.0ms	87×	body	4096	valid
27.0ms	338×	body	128	nan
21.0ms	35×	body	8192	valid
12.0ms	33×	body	2048	valid
9.0ms	75×	body	128	valid
9.0ms	117×	body	128	invalid
3.0ms	12×	body	1024	valid
1.0ms	5×	body	1024	invalid
1.0ms	6×	body	512	valid
1.0ms	8×	body	256	valid
1.0ms	3×	body	2048	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	69

prune6.0ms (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

58.9b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

13.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
32.4b	(+.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))))

rewrite344.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

58.8b

Rules

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

Counts

4 → 143

Calls

4 calls:

50.0ms	(+.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.0s (9%)

Error

35.9b

Counts

4 → 71

Calls

4 calls:

563.0ms	(+.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))))
476.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
443.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
436.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify107.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5046	5195

prune288.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

36.5b

Counts

216 → 7

Compiler

Compiled 11191 to 2102 computations (81.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.7b	(.f64 (.f64 d d) c0)
13.3b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
14.1b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
14.8b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))

rewrite689.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

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

Counts

4 → 315

Calls

4 calls:

31.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
19.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
13.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
7.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.6s (7%)

Error

29.4b

Counts

4 → 54

Calls

4 calls:

665.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
528.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
259.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
63.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify165.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5118	12573

prune492.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	363	13	376

Error

26.1b

Counts

376 → 13

Compiler

Compiled 11285 to 4354 computations (61.4% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

6.8b	(.f64 (.f64 D D) h)
15.5b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite139.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

20.6b

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
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×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
3×	`add-log-exp_binary64_1140`
2×	`associate-l_binary64_1042` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

3 → 88

Calls

3 calls:

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

Compiler

Compiled 2222 to 466 computations (79% saved)

series526.0ms (2.3%)

Error

26.1b

Counts

3 → 27

Calls

3 calls:

292.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
154.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
59.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1139 computations (6.3% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5061	1808

prune119.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	105	10	115
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	110	18	128

Error

21.9b

Counts

128 → 18

Compiler

Compiled 2467 to 886 computations (64.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.4b	(.f64 M (.f64 M (.f64 (.f64 D D) h)))
5.7b	(.f64 M (.f64 (*.f64 D D) h))
6.8b	(.f64 (.f64 D D) h)
15.8b	(/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (*.f64 d d))

rewrite146.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

19.0b

Rules

77×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
44×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
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×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

4 → 97

Calls

4 calls:

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

Compiler

Compiled 2311 to 558 computations (75.9% saved)

series665.0ms (3%)

Error

21.9b

Counts

4 → 36

Calls

4 calls:

306.0ms	(/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (*.f64 d d))
153.0ms	(.f64 M (.f64 M (.f64 (.f64 D D) h)))
116.0ms	(.f64 M (.f64 (*.f64 D D) h))
61.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1620 to 1486 computations (8.3% saved)

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5086	1917

prune105.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	127	6	133
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	133	18	151

Error

19.2b

Counts

151 → 18

Compiler

Compiled 2316 to 642 computations (72.3% saved)

regimes4.1s (18.3%)

Accuracy

Total 7.2b remaining (28.2%)

Threshold costs 0b (0%)

Compiler

Compiled 59961 to 41657 computations (30.5% saved)

bsearch9.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	48
1	46	48

end0.0ms (0%)

sample8.5s (37.9%)

Algorithm

1×

intervals

Results

1.0s	2122×	body	4096	valid
885.0ms	11752×	body	128	nan
723.0ms	1181×	body	8192	valid
488.0ms	1289×	body	2048	valid
301.0ms	3909×	body	128	invalid
187.0ms	625×	body	1024	valid
180.0ms	2352×	body	128	valid
64.0ms	284×	body	512	valid
23.0ms	147×	body	256	valid
20.0ms	56×	body	2048	invalid
18.0ms	55×	body	1024	invalid
13.0ms	47×	body	512	invalid
6.0ms	13×	body	4096	invalid
4.0ms	7×	body	8192	exit
4.0ms	25×	body	256	invalid

Compiler

Compiled 5363 to 3739 computations (30.3% saved)

Details

analyze2.0s (8.9%)

sample166.0ms (0.7%)

simplify44.0ms (0.2%)

prune6.0ms (0%)

localize20.0ms (0.1%)

rewrite344.0ms (1.5%)

series2.0s (9%)

simplify107.0ms (0.5%)

prune288.0ms (1.3%)

localize17.0ms (0.1%)

rewrite689.0ms (3.1%)

series1.6s (7%)

simplify165.0ms (0.7%)

prune492.0ms (2.2%)

localize10.0ms (0%)

rewrite139.0ms (0.6%)

series526.0ms (2.3%)

simplify82.0ms (0.4%)

prune119.0ms (0.5%)

localize11.0ms (0.1%)

rewrite146.0ms (0.7%)

series665.0ms (3%)

simplify83.0ms (0.4%)

prune105.0ms (0.5%)

regimes4.1s (18.3%)

bsearch9.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.5s (37.9%)

Profiling