Details

analyze298.0ms (7.5%)

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)

sample51.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	116×	body	256	valid
9.0ms	285×	pre	128	true
8.0ms	49×	body	512	valid
5.0ms	91×	body	128	valid
2.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify266.0ms (6.7%)

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: 52.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
25.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `sqrt-prod_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/r_binary64` `associate-l_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.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))

series444.0ms (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))
136.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune127.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	75	10	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 2.6b

Counts

86 → 10

Compiler

Compiled 2203 to 1336 computations (39.4% 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

prune14.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	0	0
Total	10	10

Merged error: 2.6b

Counts

10 → 10

Compiler

Compiled 289 to 205 computations (29.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.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))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

9.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
7.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
7.0ms	(/.f64 (*.f64 a c) b)

series131.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
42.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
40.0ms	(/.f64 (*.f64 a c) b)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5045	877

prune92.0ms (2.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	79	18	97

Merged error: 2.6b

Counts

97 → 18

Compiler

Compiled 1484 to 852 computations (42.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
11×	`times-frac_binary64`
10×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

3 → 83

Calls

3 calls:

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

series122.0ms (3.1%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(.f64 -3/2 (.f64 a (/.f64 c b)))
41.0ms	(/.f64 (.f64 -3/2 (.f64 a (/.f64 c b))) (*.f64 3 a))
36.0ms	(*.f64 a (/.f64 c b))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5292	919

prune66.0ms (1.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	87	5	92
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	89	21	110

Merged error: 2.6b

Counts

110 → 21

Compiler

Compiled 1164 to 596 computations (48.8% saved)

regimes174.0ms (4.4%)

Compiler: Compiled 1960 to 1456 computations (25.7% 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%)

sample1.9s (46.9%)

Algorithm

1×

intervals

Results

445.0ms	3781×	body	256	valid
286.0ms	8820×	pre	128	true
253.0ms	1473×	body	512	valid
166.0ms	2746×	body	128	valid
48.0ms	820×	body	128	nan

Compiler

Compiled 522 to 390 computations (25.3% saved)

Details

analyze298.0ms (7.5%)

sample51.0ms (1.3%)

simplify266.0ms (6.7%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite37.0ms (0.9%)

series444.0ms (11.2%)

simplify54.0ms (1.4%)

prune127.0ms (3.2%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune14.0ms (0.3%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series131.0ms (3.3%)

simplify61.0ms (1.6%)

prune92.0ms (2.3%)

localize9.0ms (0.2%)

rewrite31.0ms (0.8%)

series122.0ms (3.1%)

simplify59.0ms (1.5%)

prune66.0ms (1.7%)

regimes174.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (46.9%)

Profiling