Details

analyze267.0ms (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)

sample38.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	174×	body	128	valid
8.0ms	283×	pre	128	true
8.0ms	82×	body	256	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify420.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (261.0ms)

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: 42.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(-.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))
38.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1783`
14×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
13×	`*-un-lft-identity_binary64_1762`
9×	`pow1_binary64_1820`
8×	`add-log-exp_binary64_1798`
7×	`add-cube-cbrt_binary64_1794`
6×	`times-frac_binary64_1768` `difference-of-squares_binary64_1731` `associate-/l*_binary64_1709`
4×	`prod-exp_binary64_1808` `cbrt-unprod_binary64_1792`
3×	`flip3--_binary64_1766` `pow-prod-down_binary64_1830` `distribute-lft-out--_binary64_1716` `sqrt-prod_binary64_1777` `flip--_binary64_1737` `associate-r_binary64_1704`
2×	`diff-log_binary64_1851` `associate-/l/_binary64_1711` `cbrt-undiv_binary64_1793` `div-exp_binary64_1810` `sub-neg_binary64_1755`
1×	`frac-2neg_binary64_1773` `div-sub_binary64_1767` `clear-num_binary64_1761` `associate-/r_binary64_1708` `div-inv_binary64_1759` `-commutative_binary64_1695` `associate-l_binary64_1705`

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))

series445.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
133.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
61.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
28.0ms	(.f64 (.f64 3 a) c)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune134.0ms (3.5%)

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: 5.8b

Counts

86 → 15

Compiler

Compiled 2362 to 1444 computations (38.9% 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

prune20.0ms (0.5%)

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: 5.8b

Counts

15 → 15

Compiler

Compiled 448 to 314 computations (29.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
17×	`prod-exp_binary64_1808` `cbrt-unprod_binary64_1792`
16×	`cbrt-undiv_binary64_1793` `div-exp_binary64_1810`
10×	`add-sqr-sqrt_binary64_1783`
8×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
7×	`times-frac_binary64_1768` `associate-r_binary64_1704`
5×	`pow1_binary64_1820`
4×	`associate-/r*_binary64_1708`
3×	`div-inv_binary64_1759` `add-log-exp_binary64_1798` `associate-l_binary64_1705`
2×	`frac-2neg_binary64_1773` `clear-num_binary64_1761` `associate-r/_binary64_1706` `associate-/l_binary64_1709`
1×	`pow-prod-down_binary64_1830` `associate-/l/_binary64_1711` `unswap-sqr_binary64_1730` `*-commutative_binary64_1695`

Counts

3 → 78

Calls

3 calls:

11.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))
8.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
5.0ms	(/.f64 (*.f64 a c) b)

series112.0ms (3%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
34.0ms	(/.f64 (*.f64 a c) b)
34.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5045	877

prune107.0ms (2.8%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	73	29	102

Merged error: 5.7b

Counts

102 → 29

Compiler

Compiled 1738 to 1033 computations (40.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 1 (*.f64 -2 (/.f64 b c)))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1797`
10×	`add-cbrt-cube_binary64_1795`
9×	`div-exp_binary64_1810`
6×	`prod-exp_binary64_1808`
4×	`cbrt-undiv_binary64_1793` `pow1_binary64_1820`
3×	`times-frac_binary64_1768` `add-sqr-sqrt_binary64_1783` `-un-lft-identity_binary64_1762` `associate-/l_binary64_1709` `add-cube-cbrt_binary64_1794` `1-exp_binary64_1803` `rec-exp_binary64_1809`
2×	`pow-flip_binary64_1833` `cbrt-unprod_binary64_1792`
1×	`associate-/r/_binary64_1710` `frac-2neg_binary64_1773` `inv-pow_binary64_1844` `pow-prod-down_binary64_1830` `clear-num_binary64_1761` `associate-/r_binary64_1708` `div-inv_binary64_1759` `add-log-exp_binary64_1798` `associate-r/_binary64_1706`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

series33.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

32.0ms

(/.f64 1 (*.f64 -2 (/.f64 b c)))

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	292
1	4873	292

prune22.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	2	25	27
Picked	1	0	1
Done	0	1	1
Total	37	28	65

Merged error: 5.7b

Counts

65 → 28

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes249.0ms (6.6%)

Compiler: Compiled 2676 to 1956 computations (26.9% saved)

bsearch39.0ms (1%)

Steps

Iters	Range		Point
3	2.4422747275204577e-05	3.016279971037506e-05	2.9804046433176902e-05

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	58
1	83	58

end0.0ms (0%)

sample1.6s (42.4%)

Algorithm

1×

intervals

Results

269.0ms	8908×	pre	128	true
267.0ms	2864×	body	256	valid
252.0ms	5135×	body	128	valid
41.0ms	908×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 735 to 534 computations (27.3% saved)

Details

analyze267.0ms (7%)

sample38.0ms (1%)

simplify420.0ms (11%)

prune4.0ms (0.1%)

localize10.0ms (0.3%)

rewrite39.0ms (1%)

series445.0ms (11.7%)

simplify54.0ms (1.4%)

prune134.0ms (3.5%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune20.0ms (0.5%)

localize7.0ms (0.2%)

rewrite31.0ms (0.8%)

series112.0ms (3%)

simplify64.0ms (1.7%)

prune107.0ms (2.8%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series33.0ms (0.9%)

simplify74.0ms (2%)

prune22.0ms (0.6%)

regimes249.0ms (6.6%)

bsearch39.0ms (1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (42.4%)

Profiling