Details

analyze261.0ms (6.7%)

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)

sample37.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	291×	pre	128	true
8.0ms	174×	body	128	valid
8.0ms	82×	body	256	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify420.0ms (10.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (263.0ms)

Iter	Nodes	Cost
0	1707	24
1	1707	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: 41.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
35.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2457`
14×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
13×	`*-un-lft-identity_binary64_2436`
9×	`pow1_binary64_2494`
8×	`add-log-exp_binary64_2472`
7×	`add-cube-cbrt_binary64_2468`
6×	`associate-/l*_binary64_2383` `times-frac_binary64_2442` `difference-of-squares_binary64_2405`
4×	`prod-exp_binary64_2482` `cbrt-unprod_binary64_2466`
3×	`distribute-lft-out--_binary64_2390` `pow-prod-down_binary64_2504` `flip3--_binary64_2440` `associate-r_binary64_2378` `sqrt-prod_binary64_2451` `flip--_binary64_2411`
2×	`cbrt-undiv_binary64_2467` `diff-log_binary64_2525` `div-exp_binary64_2484` `associate-/l/_binary64_2385` `sub-neg_binary64_2429`
1×	`-commutative_binary64_2369` `div-inv_binary64_2433` `associate-/r_binary64_2382` `clear-num_binary64_2435` `div-sub_binary64_2441` `frac-2neg_binary64_2447` `associate-l_binary64_2379`

Counts

4 → 73

Calls

4 calls:

13.0ms	(/.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)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series440.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
63.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune140.0ms (3.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	69	16	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	16	86

Merged error: 6.0b

Counts

86 → 16

Compiler

Compiled 2396 to 1470 computations (38.6% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune24.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Merged error: 6.0b

Counts

16 → 16

Compiler

Compiled 482 to 340 computations (29.5% 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))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
17×	`prod-exp_binary64_2482` `cbrt-unprod_binary64_2466`
16×	`cbrt-undiv_binary64_2467` `div-exp_binary64_2484`
10×	`add-sqr-sqrt_binary64_2457`
8×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
7×	`associate-r_binary64_2378` `times-frac_binary64_2442`
5×	`pow1_binary64_2494`
4×	`associate-/r*_binary64_2382`
3×	`div-inv_binary64_2433` `add-log-exp_binary64_2472` `associate-l_binary64_2379`
2×	`associate-/l_binary64_2383` `associate-r/_binary64_2380` `clear-num_binary64_2435` `frac-2neg_binary64_2447`
1×	`*-commutative_binary64_2369` `pow-prod-down_binary64_2504` `unswap-sqr_binary64_2404` `associate-/l/_binary64_2385`

Counts

3 → 78

Calls

3 calls:

10.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series119.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
37.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
35.0ms	(/.f64 (*.f64 a c) b)

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	877

prune102.0ms (2.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	75	12	87
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	76	27	103

Merged error: 5.9b

Counts

103 → 27

Compiler

Compiled 1742 to 1027 computations (41% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(pow.f64 (/.f64 c b) 3)
0.7b	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64_2442`
17×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
13×	`unpow-prod-down_binary64_2512` `cube-prod_binary64_2461`
5×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
3×	`pow-unpow_binary64_2510` `pow1_binary64_2494`
2×	`div-inv_binary64_2433` `rem-cube-cbrt_binary64_2458` `add-log-exp_binary64_2472` `pow-exp_binary64_2501` `cube-div_binary64_2462`
1×	`pow1/3_binary64_2515` `cbrt-undiv_binary64_2467` `div-exp_binary64_2484` `associate-*r/_binary64_2380` `cbrt-prod_binary64_2464` `cube-mult_binary64_2463` `pow-to-exp_binary64_2502` `unpow3_binary64_2499` `pow-pow_binary64_2505` `sqr-pow_binary64_2408` `cbrt-div_binary64_2465`

Counts

2 → 56

Calls

2 calls:

7.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
5.0ms	(pow.f64 (/.f64 c b) 3)

series97.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(cbrt.f64 (*.f64 -1/8 (pow.f64 (/.f64 c b) 3)))
46.0ms	(pow.f64 (/.f64 c b) 3)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5234	693

prune49.0ms (1.3%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	57	5	62
Fresh	3	22	25
Picked	1	0	1
Done	0	1	1
Total	61	28	89

Merged error: 5.9b

Counts

89 → 28

Compiler

Compiled 749 to 441 computations (41.1% saved)

regimes232.0ms (6%)

Compiler: Compiled 2788 to 2068 computations (25.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.7s (42.9%)

Algorithm

1×

intervals

Results

276.0ms	2920×	body	256	valid
274.0ms	8893×	pre	128	true
252.0ms	5079×	body	128	valid
42.0ms	893×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 729 to 543 computations (25.5% saved)

Details

analyze261.0ms (6.7%)

sample37.0ms (0.9%)

simplify420.0ms (10.8%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite38.0ms (1%)

series440.0ms (11.4%)

simplify56.0ms (1.4%)

prune140.0ms (3.6%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune24.0ms (0.6%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series119.0ms (3.1%)

simplify63.0ms (1.6%)

prune102.0ms (2.6%)

localize6.0ms (0.2%)

rewrite16.0ms (0.4%)

series97.0ms (2.5%)

simplify54.0ms (1.4%)

prune49.0ms (1.3%)

regimes232.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (42.9%)

Profiling