Details

analyze1.9s (15.4%)

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)

sample187.0ms (1.5%)

Algorithm

1×

intervals

Results

51.0ms	84×	body	5120	valid
32.0ms	359×	body	80	nan
22.0ms	44×	body	2560	valid
12.0ms	18×	body	5120	exit
10.0ms	121×	body	80	invalid
9.0ms	23×	body	1280	valid
7.0ms	85×	body	80	valid
4.0ms	2×	body	2560	invalid
4.0ms	11×	body	640	valid
1.0ms	4×	body	640	invalid
1.0ms	5×	body	320	valid
1.0ms	4×	body	160	valid
0.0ms	1×	body	1280	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5500	63

prune6.0ms (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

Merged error: 57.8b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
27.6b	(+.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))))

rewrite128.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `insert-posit16`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 147

Calls

4 calls:

58.0ms	(+.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))))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (9.1%)

Counts

4 → 12

Calls

4 calls:

561.0ms	(+.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))))
196.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
187.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
186.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5619	4204

prune234.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	4	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	155	6	161

Merged error: 30.8b

Counts

161 → 6

Compiler

Compiled 9029 to 1489 computations (83.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

5.9b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
3×	`pow1_binary64` `associate-r_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `div-inv_binary64` `insert-posit16` `associate-l/_binary64` `-commutative_binary64`

Counts

1 → 29

Calls

1 calls:

8.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series3.0ms (0%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5107	113

prune29.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	32	6	38

Merged error: 29.0b

Counts

38 → 6

Compiler

Compiled 366 to 257 computations (29.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 29.0b

Counts

6 → 6

Compiler

Compiled 190 to 97 computations (48.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

26.3b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
26.3b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
26.3b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
37.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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))))

rewrite97.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-div_binary64`
15×	`cbrt-prod_binary64`
14×	`frac-add_binary64` `sqrt-div_binary64`
10×	`frac-times_binary64` `associate-*l/_binary64`
7×	`*-un-lft-identity_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`pow1/3_binary64` `times-frac_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 71

Calls

4 calls:

60.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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))))
11.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
11.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
11.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

series1.8s (14.7%)

Counts

4 → 12

Calls

4 calls:

611.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.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))))
408.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
407.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
401.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5311	5311

prune170.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 28.5b

Counts

89 → 8

Compiler

Compiled 7799 to 1158 computations (85.2% saved)

regimes261.0ms (2.1%)

Compiler: Compiled 4134 to 1856 computations (55.1% saved)

bsearch2.0ms (0%)

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample6.0s (48%)

Algorithm

1×

intervals

Results

1.4s	2294×	body	5120	valid
1.1s	12655×	body	80	nan
844.0ms	1703×	body	2560	valid
359.0ms	4196×	body	80	invalid
357.0ms	555×	body	5120	exit
340.0ms	832×	body	1280	valid
207.0ms	2491×	body	80	valid
139.0ms	423×	body	640	valid
42.0ms	171×	body	320	valid
29.0ms	59×	body	2560	invalid
20.0ms	50×	body	1280	invalid
14.0ms	46×	body	640	invalid
14.0ms	86×	body	160	valid
6.0ms	26×	body	320	invalid
4.0ms	6×	body	5120	invalid
3.0ms	19×	body	160	invalid

Compiler

Compiled 561 to 227 computations (59.5% saved)

Details

analyze1.9s (15.4%)

sample187.0ms (1.5%)

simplify107.0ms (0.9%)

prune6.0ms (0.1%)

localize21.0ms (0.2%)

rewrite128.0ms (1%)

series1.1s (9.1%)

simplify104.0ms (0.8%)

prune234.0ms (1.9%)

localize5.0ms (0%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify83.0ms (0.7%)

prune29.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify19.0ms (0.2%)

prune8.0ms (0.1%)

localize25.0ms (0.2%)

rewrite97.0ms (0.8%)

series1.8s (14.7%)

simplify93.0ms (0.7%)

prune170.0ms (1.4%)

regimes261.0ms (2.1%)

bsearch2.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample6.0s (48%)

Profiling