Details

analyze2.0s (11.7%)

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)

sample182.0ms (1.1%)

Algorithm

1×

intervals

Results

34.0ms	66×	body	4096	valid
33.0ms	379×	body	128	nan
27.0ms	41×	body	8192	valid
19.0ms	47×	body	2048	valid
10.0ms	118×	body	128	invalid
6.0ms	72×	body	128	valid
5.0ms	16×	body	1024	valid
5.0ms	3×	body	2048	invalid
3.0ms	11×	body	512	valid
1.0ms	4×	body	512	invalid
1.0ms	1×	body	8192	exit
0.0ms	3×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify144.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	69

prune11.0ms (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

59.6b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

7.1b	(.f64 c0 (.f64 d d))
7.1b	(.f64 c0 (.f64 d d))
7.1b	(.f64 c0 (.f64 d d))
0.2b	(.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))))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.4b	(+.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))))

rewrite118.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108`
117×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119`
45×	`cbrt-undiv_binary64_1104` `div-exp_binary64_1121`
6×	`add-log-exp_binary64_1109` `*-un-lft-identity_binary64_1070`
4×	`add-sqr-sqrt_binary64_1092` `pow1_binary64_1131` `add-cube-cbrt_binary64_1105`
3×	`frac-2neg_binary64_1081` `clear-num_binary64_1069` `associate-/r_binary64_1014` `times-frac_binary64_1076` `associate-/l_binary64_1015` `div-inv_binary64_1067`
2×	`sqrt-div_binary64_1087` `frac-add_binary64_1078`
1×	`flip--_binary64_1045` `flip-+_binary64_1044` `distribute-lft-out_binary64_1021` `flip3--_binary64_1074` `+-commutative_binary64_1000` `flip3-+_binary64_1073` `sum-log_binary64_1161`

Counts

4 → 143

Calls

8 calls:

51.0ms	(+.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)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
0.0ms	(.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))))

series2.1s (12.3%)

Counts

4 → 71

Calls

4 calls:

628.0ms	(+.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))))
493.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
487.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
476.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 5972 to 3782 computations (36.7% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5046	5195

prune338.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	210	6	216

Error

33.9b

Counts

216 → 6

Compiler

Compiled 11088 to 2037 computations (81.6% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

10.8b	(.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)))))
8.6b	(.f64 h (.f64 D D))
7.1b	(.f64 c0 (.f64 d d))
5.4b	(.f64 w (.f64 (.f64 M M) (.f64 h (*.f64 D D))))
8.6b	(.f64 h (.f64 D D))
10.8b	(.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)))))
14.2b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
15.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))

rewrite139.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

819×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108`
557×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119`
148×	`cbrt-undiv_binary64_1104` `div-exp_binary64_1121`
35×	`pow1_binary64_1131`
21×	`pow-prod-down_binary64_1141`
11×	`associate-l_binary64_1011`
8×	`add-sqr-sqrt_binary64_1092`
7×	`*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
4×	`times-frac_binary64_1076` `add-log-exp_binary64_1109`
3×	`associate-r_binary64_1010` `-commutative_binary64_1001` `associate-r/_binary64_1012`
2×	`div-inv_binary64_1067`
1×	`frac-2neg_binary64_1081` `associate-l/_binary64_1013` `frac-times_binary64_1080` `clear-num_binary64_1069` `unswap-sqr_binary64_1038` `associate-/r_binary64_1014` `associate-/l*_binary64_1015`

Counts

4 → 285

Calls

8 calls:

30.0ms	(.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)))))
22.0ms	(/.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))
0.0ms	(.f64 w (.f64 (.f64 M M) (.f64 h (*.f64 D D))))

series1.5s (8.9%)

Counts

4 → 51

Calls

4 calls:

712.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
580.0ms	(.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)))
59.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify149.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5474	9642

prune381.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	326	10	336
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	328	14	342

Error

26.4b

Counts

342 → 14

Compiler

Compiled 9168 to 2698 computations (70.6% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

15.1b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
14.2b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
8.6b	(.f64 h (.f64 D D))
0.0b	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
0.0b	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
8.6b	(.f64 h (.f64 D D))
14.2b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
15.1b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))

rewrite62.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108`
107×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119`
32×	`pow1_binary64_1131`
28×	`cbrt-undiv_binary64_1104` `div-exp_binary64_1121`
19×	`pow-prod-down_binary64_1141`
10×	`add-sqr-sqrt_binary64_1092`
9×	`associate-l_binary64_1011`
7×	`*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
5×	`associate-r_binary64_1010`
4×	`add-log-exp_binary64_1109`
3×	`*-commutative_binary64_1001`
2×	`unswap-sqr_binary64_1038` `times-frac_binary64_1076` `div-inv_binary64_1067`
1×	`frac-2neg_binary64_1081` `associate-l/_binary64_1013` `clear-num_binary64_1069` `associate-/r_binary64_1014` `associate-/l*_binary64_1015`

Counts

4 → 137

Calls

8 calls:

16.0ms	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
14.0ms	(/.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))
0.0ms	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)

series915.0ms (5.4%)

Counts

4 → 39

Calls

4 calls:

376.0ms	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
321.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
158.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
59.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1170 to 1284 computations (-9.7% saved)

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5013	3193

prune182.0ms (1.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	7	5	12
Picked	1	0	1
Done	0	1	1
Total	173	17	190

Error

21.6b

Counts

190 → 17

Compiler

Compiled 3435 to 1119 computations (67.4% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

8.6b	(.f64 h (.f64 D D))
6.4b	(.f64 M (.f64 h (*.f64 D D)))
2.4b	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
0.0b	(.f64 (/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (.f64 d d)) 1/4)
2.4b	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
6.4b	(.f64 M (.f64 h (*.f64 D D)))
8.6b	(.f64 h (.f64 D D))
15.1b	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-cbrt-cube_binary64_1106` `add-exp-log_binary64_1108`
44×	`cbrt-unprod_binary64_1103` `prod-exp_binary64_1119`
32×	`pow1_binary64_1131`
19×	`pow-prod-down_binary64_1141`
10×	`cbrt-undiv_binary64_1104` `div-exp_binary64_1121`
8×	`add-sqr-sqrt_binary64_1092`
7×	`associate-l_binary64_1011` `*-un-lft-identity_binary64_1070` `add-cube-cbrt_binary64_1105`
5×	`associate-r_binary64_1010`
4×	`add-log-exp_binary64_1109`
3×	`*-commutative_binary64_1001`
1×	`frac-2neg_binary64_1081` `clear-num_binary64_1069` `unswap-sqr_binary64_1038` `associate-/r_binary64_1014` `times-frac_binary64_1076` `associate-/l_binary64_1015` `div-inv_binary64_1067`

Counts

4 → 97

Calls

8 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))
0.0ms	(.f64 (/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (.f64 d d)) 1/4)

series660.0ms (3.9%)

Counts

4 → 36

Calls

4 calls:

327.0ms	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))
153.0ms	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
122.0ms	(.f64 M (.f64 h (*.f64 D D)))
57.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1080 to 1146 computations (-6.1% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5021	1927

prune114.0ms (0.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	126	7	133
Fresh	6	9	15
Picked	1	0	1
Done	0	1	1
Total	133	17	150

Error

19.2b

Counts

150 → 17

Compiler

Compiled 2332 to 572 computations (75.5% saved)

regimes1.4s (8.1%)

Accuracy

Total 8.1b remaining (29.7%)

Threshold costs 0b (0%)

Compiler

Compiled 18052 to 12530 computations (30.6% saved)

bsearch3.0ms (0%)

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

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	53
1	33	53

end0.0ms (0%)

sample6.2s (36.6%)

Algorithm

1×

intervals

Results

1.1s	2143×	body	4096	valid
1.0s	11990×	body	128	nan
769.0ms	1175×	body	8192	valid
524.0ms	1286×	body	2048	valid
341.0ms	4048×	body	128	invalid
205.0ms	623×	body	1024	valid
197.0ms	2328×	body	128	valid
72.0ms	302×	body	512	valid
30.0ms	66×	body	2048	invalid
23.0ms	143×	body	256	valid
19.0ms	58×	body	1024	invalid
9.0ms	39×	body	512	invalid
6.0ms	12×	body	4096	invalid
6.0ms	8×	body	8192	exit
4.0ms	24×	body	256	invalid

Compiler

Compiled 1532 to 1055 computations (31.1% saved)

Pareto

Details

analyze2.0s (11.7%)

sample182.0ms (1.1%)

simplify144.0ms (0.9%)

prune11.0ms (0.1%)

localize22.0ms (0.1%)

rewrite118.0ms (0.7%)

series2.1s (12.3%)

simplify110.0ms (0.7%)

prune338.0ms (2%)

localize18.0ms (0.1%)

rewrite139.0ms (0.8%)

series1.5s (8.9%)

simplify149.0ms (0.9%)

prune381.0ms (2.3%)

localize10.0ms (0.1%)

rewrite62.0ms (0.4%)

series915.0ms (5.4%)

simplify95.0ms (0.6%)

prune182.0ms (1.1%)

localize11.0ms (0.1%)

rewrite48.0ms (0.3%)

series660.0ms (3.9%)

simplify64.0ms (0.4%)

prune114.0ms (0.7%)

regimes1.4s (8.1%)

bsearch3.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.2s (36.6%)

Profiling