Details

analyze2.1s (9.7%)

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)

sample174.0ms (0.8%)

Algorithm

1×

intervals

Results

40.0ms	78×	body	4096	valid
28.0ms	388×	body	128	nan
25.0ms	37×	body	8192	valid
14.0ms	39×	body	2048	valid
10.0ms	134×	body	128	invalid
6.0ms	20×	body	1024	valid
5.0ms	72×	body	128	valid
1.0ms	6×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	3×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	2×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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

59.1b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

13.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.5b	(+.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))))

rewrite226.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

59.1b

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`prod-exp_binary64` `cbrt-unprod_binary64`
45×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `*-un-lft-identity_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64`
2×	`sqrt-div_binary64` `frac-add_binary64`
1×	`sum-log_binary64` `flip3--_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

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))))
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 737 computations (92.7% saved)

series2.8s (13.3%)

Error

32.8b

Counts

4 → 71

Calls

4 calls:

815.0ms	(+.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))))
683.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
671.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
634.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 3442 computations (60.9% saved)

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5046	5195

prune100.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Error

33.2b

Counts

216 → 6

Compiler

Compiled 11139 to 449 computations (96% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (.f64 D D) h)
12.6b	(.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))))
13.0b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
15.1b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))

rewrite540.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

26.7b

Rules

917×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
623×	`prod-exp_binary64` `cbrt-unprod_binary64`
166×	`div-exp_binary64` `cbrt-undiv_binary64`
46×	`pow1_binary64`
30×	`pow-prod-down_binary64`
9×	`associate-l_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `times-frac_binary64`
3×	`-commutative_binary64` `associate-r/_binary64`
2×	`div-inv_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `associate-/r_binary64` `frac-times_binary64` `associate-*l/_binary64` `unswap-sqr_binary64`

Counts

4 → 315

Calls

4 calls:

30.0ms	(.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))
15.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 15201 to 1062 computations (93% saved)

series2.3s (11%)

Error

28.8b

Counts

4 → 54

Calls

4 calls:

1.0s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
825.0ms	(.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))))
390.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
83.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3510 to 2014 computations (42.6% saved)

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5016	12573

prune159.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	363	6	369
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	364	11	375

Error

25.5b

Counts

375 → 11

Compiler

Compiled 11255 to 621 computations (94.5% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

8.1b	(.f64 (.f64 D D) h)
14.8b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
15.1b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite109.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.7b

Rules

94×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
55×	`prod-exp_binary64` `cbrt-unprod_binary64`
29×	`pow1_binary64`
18×	`pow-prod-down_binary64`
14×	`div-exp_binary64` `cbrt-undiv_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`add-log-exp_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64`

Counts

3 → 88

Calls

3 calls:

17.0ms	(/.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 337 computations (84.8% saved)

series783.0ms (3.7%)

Error

25.5b

Counts

3 → 27

Calls

3 calls:

462.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
220.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
90.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 832 computations (31.5% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5061	1808

prune72.0ms (0.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	111	15	126

Error

20.0b

Counts

126 → 15

Compiler

Compiled 2378 to 439 computations (81.5% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

3.6b	(.f64 M (.f64 M (.f64 (.f64 D D) h)))
6.2b	(.f64 M (.f64 (*.f64 D D) h))
8.1b	(.f64 (.f64 D D) h)
14.8b	(/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (*.f64 d d))

rewrite102.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

77×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`prod-exp_binary64` `cbrt-unprod_binary64`
32×	`pow1_binary64`
19×	`pow-prod-down_binary64`
10×	`div-exp_binary64` `cbrt-undiv_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
1×	`frac-2neg_binary64` `times-frac_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l_binary64` `associate-/r_binary64` `unswap-sqr_binary64`

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)))
9.0ms	(.f64 (.f64 D D) h)
7.0ms	(.f64 M (.f64 (*.f64 D D) h))

Compiler

Compiled 2311 to 400 computations (82.7% saved)

series960.0ms (4.5%)

Error

20.0b

Counts

4 → 36

Calls

4 calls:

459.0ms	(/.f64 (.f64 M (.f64 M (.f64 (.f64 D D) h))) (*.f64 d d))
227.0ms	(.f64 M (.f64 M (.f64 (.f64 D D) h)))
175.0ms	(.f64 M (.f64 (*.f64 D D) h))
87.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1620 to 1102 computations (32% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5086	1917

prune61.0ms (0.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	124	9	133
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	130	18	148

Error

16.4b

Counts

148 → 18

Compiler

Compiled 2316 to 243 computations (89.5% saved)

regimes2.7s (12.8%)

Accuracy

Total 7.9b remaining (30.2%)

Threshold costs 0b (0%)

Compiler

Compiled 46009 to 31778 computations (30.9% saved)

bsearch11.0ms (0.1%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	402
1	76	402

end0.0ms (0%)

sample7.6s (35.4%)

Algorithm

1×

intervals

Results

976.0ms	2057×	body	4096	valid
889.0ms	11890×	body	128	nan
749.0ms	1210×	body	8192	valid
461.0ms	1223×	body	2048	valid
314.0ms	4019×	body	128	invalid
184.0ms	2428×	body	128	valid
180.0ms	616×	body	1024	valid
70.0ms	305×	body	512	valid
23.0ms	161×	body	256	valid
20.0ms	55×	body	2048	invalid
14.0ms	50×	body	1024	invalid
13.0ms	48×	body	512	invalid
7.0ms	16×	body	4096	invalid
3.0ms	6×	body	8192	exit
3.0ms	18×	body	256	invalid

Compiler

Compiled 4337 to 2855 computations (34.2% saved)

Details

analyze2.1s (9.7%)

sample174.0ms (0.8%)

simplify42.0ms (0.2%)

prune6.0ms (0%)

localize20.0ms (0.1%)

rewrite226.0ms (1.1%)

series2.8s (13.3%)

simplify102.0ms (0.5%)

prune100.0ms (0.5%)

localize16.0ms (0.1%)

rewrite540.0ms (2.5%)

series2.3s (11%)

simplify155.0ms (0.7%)

prune159.0ms (0.7%)

localize10.0ms (0%)

rewrite109.0ms (0.5%)

series783.0ms (3.7%)

simplify77.0ms (0.4%)

prune72.0ms (0.3%)

localize10.0ms (0%)

rewrite102.0ms (0.5%)

series960.0ms (4.5%)

simplify77.0ms (0.4%)

prune61.0ms (0.3%)

regimes2.7s (12.8%)

bsearch11.0ms (0.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample7.6s (35.4%)

Profiling