Details

analyze282.0ms (7.3%)

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)

sample41.0ms (1.1%)

Algorithm

1×

intervals

Results

11.0ms	299×	pre	128	true
9.0ms	173×	body	128	valid
8.0ms	83×	body	256	valid
2.0ms	43×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify417.0ms (10.9%)

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: 42.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (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 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
38.5b	(-.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_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:

12.0ms	(/.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))

series447.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

220.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
132.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
68.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
27.0ms	(.f64 (.f64 3 a) c)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4925	1807
1	4925	1807

prune126.0ms (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	72	13	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	13	86

Merged error: 5.7b

Counts

86 → 13

Compiler

Compiled 2268 to 1382 computations (39.1% saved)

localize6.0ms (0.2%)

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

prune17.0ms (0.4%)

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: 5.7b

Counts

13 → 13

Compiler

Compiled 354 to 252 computations (28.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

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 (3.1%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 -3/2 (/.f64 (.f64 a c) b))
38.0ms	(/.f64 (*.f64 a c) b)
36.0ms	(/.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (*.f64 3 a))

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5045	877

prune100.0ms (2.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	72	15	87
Fresh	1	10	11
Picked	1	0	1
Done	1	0	1
Total	75	25	100

Merged error: 5.7b

Counts

100 → 25

Compiler

Compiled 1622 to 952 computations (41.3% 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)))

series27.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	292
1	4873	292

prune25.0ms (0.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	24	24
Picked	0	1	1
Done	0	0	0
Total	35	26	61

Merged error: 5.7b

Counts

61 → 26

Compiler

Compiled 280 to 189 computations (32.5% saved)

regimes229.0ms (6%)

Compiler: Compiled 2328 to 1720 computations (26.1% saved)

bsearch46.0ms (1.2%)

Steps

Iters	Range		Point
4	2.0392673700080965e-06	3.6961483307745374e-06	3.6443708007505857e-06

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	85	61
1	85	61

end0.0ms (0%)

sample1.7s (43%)

Algorithm

1×

intervals

Results

296.0ms	2895×	body	256	valid
280.0ms	8893×	pre	128	true
274.0ms	5105×	body	128	valid
48.0ms	893×	body	128	nan

Compiler

Compiled 650 to 477 computations (26.6% saved)

Details

analyze282.0ms (7.3%)

sample41.0ms (1.1%)

simplify417.0ms (10.9%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite38.0ms (1%)

series447.0ms (11.6%)

simplify56.0ms (1.5%)

prune126.0ms (3.3%)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune17.0ms (0.4%)

localize8.0ms (0.2%)

rewrite28.0ms (0.7%)

series117.0ms (3.1%)

simplify65.0ms (1.7%)

prune100.0ms (2.6%)

localize5.0ms (0.1%)

rewrite9.0ms (0.2%)

series27.0ms (0.7%)

simplify73.0ms (1.9%)

prune25.0ms (0.7%)

regimes229.0ms (6%)

bsearch46.0ms (1.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (43%)

Profiling