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)

sample31.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	243×	body	128	valid
8.0ms	277×	pre	128	true
1.0ms	13×	body	256	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify422.0ms (10.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (259.0ms)

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: 31.2b

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)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
31.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2120`
14×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
13×	`*-un-lft-identity_binary64_2099`
9×	`pow1_binary64_2157`
8×	`add-log-exp_binary64_2135`
7×	`add-cube-cbrt_binary64_2131`
6×	`difference-of-squares_binary64_2068` `times-frac_binary64_2105` `associate-/l*_binary64_2046`
4×	`prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
3×	`pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `associate-r_binary64_2041` `distribute-lft-out--_binary64_2053` `sqrt-prod_binary64_2114`
2×	`sub-neg_binary64_2092` `cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `associate-/l/_binary64_2048` `diff-log_binary64_2188`
1×	`associate-l_binary64_2042` `-commutative_binary64_2032` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `associate-/r_binary64_2045` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
9.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series438.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

216.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
130.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
65.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
27.0ms	(.f64 (.f64 3 a) c)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune125.0ms (3.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	70	15	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	15	86

Merged error: 8.8b

Counts

86 → 15

Compiler

Compiled 2349 to 1438 computations (38.8% saved)

localize3.0ms (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

prune22.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 8.8b

Counts

15 → 15

Compiler

Compiled 435 to 308 computations (29.2% 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))
0.3b	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
17×	`prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
16×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147`
10×	`add-sqr-sqrt_binary64_2120`
8×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
7×	`times-frac_binary64_2105` `associate-r_binary64_2041`
5×	`pow1_binary64_2157`
4×	`associate-/r*_binary64_2045`
3×	`associate-l_binary64_2042` `add-log-exp_binary64_2135` `div-inv_binary64_2096`
2×	`associate-r/_binary64_2043` `frac-2neg_binary64_2110` `clear-num_binary64_2098` `associate-/l_binary64_2046`
1×	`*-commutative_binary64_2032` `associate-/l/_binary64_2048` `pow-prod-down_binary64_2167` `unswap-sqr_binary64_2067`

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)

series117.0ms (3%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
40.0ms	(/.f64 (*.f64 a c) b)
37.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	877

prune99.0ms (2.5%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	74	13	87
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	75	27	102

Merged error: 8.7b

Counts

102 → 27

Compiler

Compiled 1698 to 1005 computations (40.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
24×	`prod-exp_binary64_2145` `cbrt-unprod_binary64_2129`
13×	`pow1_binary64_2157`
9×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147`
6×	`associate-l_binary64_2042` `pow-prod-down_binary64_2167`
5×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
3×	`add-log-exp_binary64_2135`
2×	`-commutative_binary64_2032` `associate-r*_binary64_2041`
1×	`frac-2neg_binary64_2110` `times-frac_binary64_2105` `associate-/r_binary64_2045` `clear-num_binary64_2098` `associate-/l_binary64_2046` `div-inv_binary64_2096`

Counts

3 → 67

Calls

3 calls:

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

series97.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

37.0ms	(/.f64 (.f64 -3/2 (.f64 a c)) (.f64 b (.f64 a 3)))
32.0ms	(.f64 b (.f64 a 3))
28.0ms	(.f64 -3/2 (.f64 a c))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5129	674

prune58.0ms (1.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	67	9	76
Fresh	3	22	25
Picked	1	0	1
Done	1	0	1
Total	72	31	103

Merged error: 8.6b

Counts

103 → 31

Compiler

Compiled 869 to 525 computations (39.6% saved)

regimes359.0ms (9.2%)

Compiler: Compiled 2876 to 2164 computations (24.8% saved)

bsearch6.0ms (0.2%)

Steps

Iters	Range		Point
1	60.976161088869034	63.0522916487804	62.53325900880255

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	61
1	83	61

end0.0ms (0%)

sample1.6s (39.9%)

Algorithm

1×

intervals

Results

378.0ms	7649×	body	128	valid
269.0ms	8959×	pre	128	true
43.0ms	959×	body	128	nan
33.0ms	351×	body	256	valid

Compiler

Compiled 787 to 588 computations (25.3% saved)

Details

analyze261.0ms (6.7%)

sample31.0ms (0.8%)

simplify422.0ms (10.8%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite43.0ms (1.1%)

series438.0ms (11.2%)

simplify52.0ms (1.3%)

prune125.0ms (3.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune22.0ms (0.6%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series117.0ms (3%)

simplify63.0ms (1.6%)

prune99.0ms (2.5%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series97.0ms (2.5%)

simplify54.0ms (1.4%)

prune58.0ms (1.5%)

regimes359.0ms (9.2%)

bsearch6.0ms (0.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (39.9%)

Profiling