Details

analyze275.0ms (5.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample40.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	291×	pre	128	true
10.0ms	106×	body	256	valid
7.0ms	150×	body	128	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify457.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 43.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
39.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`pow1_binary64_2526`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
4×	`cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`sqrt-prod_binary64_2481` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `flip3--_binary64_2469`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `diff-log_binary64_2557`
1×	`-commutative_binary64_2396` `associate-/r_binary64_2409` `clear-num_binary64_2464` `div-sub_binary64_2470` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `associate-l_binary64_2406`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series437.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

210.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
136.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
63.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4922	1823
1	4922	1823

prune134.0ms (2.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Merged error: 4.8b

Counts

90 → 13

Compiler

Compiled 2308 to 1404 computations (39.2% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune17.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 4.8b

Counts

13 → 13

Compiler

Compiled 327 to 238 computations (27.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 (*.f64 a c) b)
0.3b	(.f64 -3/2 (/.f64 (.f64 a c) b))
0.4b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
17×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
16×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
10×	`add-sqr-sqrt_binary64_2487`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
7×	`times-frac_binary64_2471` `associate-r_binary64_2405`
5×	`pow1_binary64_2526`
4×	`associate-/r*_binary64_2409`
3×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `associate-l_binary64_2406`
2×	`associate-r/_binary64_2407` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `associate-/l_binary64_2410`
1×	`*-commutative_binary64_2396` `associate-/l/_binary64_2412` `unswap-sqr_binary64_2433` `pow-prod-down_binary64_2536`

Counts

3 → 78

Calls

3 calls:

10.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
5.0ms	(/.f64 (*.f64 a c) b)

series112.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
36.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
35.0ms	(/.f64 (*.f64 a c) b)

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5036	877

prune102.0ms (2%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	70	17	87
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	71	29	100

Merged error: 4.8b

Counts

100 → 29

Compiler

Compiled 1660 to 981 computations (40.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
0.4b	(.f64 (.f64 -3/2 a) (/.f64 c b))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
23×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
16×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
13×	`associate-r_binary64_2405`
10×	`times-frac_binary64_2471`
9×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
7×	`pow1_binary64_2526`
3×	`pow-prod-down_binary64_2536`
2×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407` `div-inv_binary64_2462`
1×	`-commutative_binary64_2396` `associate-/r_binary64_2409` `associate-/l/_binary64_2412` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `associate-/l_binary64_2410` `associate-l*_binary64_2406`

Counts

2 → 67

Calls

2 calls:

11.0ms	(/.f64 (.f64 (.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
9.0ms	(.f64 (.f64 -3/2 a) (/.f64 c b))

series83.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

47.0ms	(.f64 (.f64 -3/2 a) (/.f64 c b))
36.0ms	(/.f64 (.f64 (.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4950	781
1	4950	781

prune57.0ms (1.1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	8	19	27
Picked	0	1	1
Done	1	0	1
Total	74	28	102

Merged error: 4.8b

Counts

102 → 28

Compiler

Compiled 860 to 481 computations (44.1% saved)

regimes677.0ms (13.5%)

Compiler: Compiled 6716 to 5006 computations (25.5% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	87	81
1	87	81

end0.0ms (0%)

sample2.2s (44.8%)

Algorithm

1×

intervals

Results

281.0ms	2878×	body	256	valid
267.0ms	8913×	pre	128	true
258.0ms	5122×	body	128	valid
42.0ms	913×	body	128	nan

Compiler

Compiled 1418 to 1051 computations (25.9% saved)

Details

analyze275.0ms (5.5%)

sample40.0ms (0.8%)

simplify457.0ms (9.1%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite41.0ms (0.8%)

series437.0ms (8.7%)

simplify74.0ms (1.5%)

prune134.0ms (2.7%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune17.0ms (0.3%)

localize8.0ms (0.2%)

rewrite32.0ms (0.6%)

series112.0ms (2.2%)

simplify66.0ms (1.3%)

prune102.0ms (2%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series83.0ms (1.7%)

simplify80.0ms (1.6%)

prune57.0ms (1.1%)

regimes677.0ms (13.5%)

bsearch5.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (44.8%)

Profiling