Details

analyze132.0ms (3.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample26.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify145.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5029	46

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite191.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

15×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
14×	`add-cbrt-cube_binary64_2160`
12×	`associate-*r/_binary64_2066`
10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
8×	`add-cube-cbrt_binary64_2159`
7×	`associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090` `flip3-+_binary64_2127` `flip-+_binary64_2098` `frac-add_binary64_2132` `associate-+r+_binary64_2056`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201`
2×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `*-commutative_binary64_2055` `associate-+l+_binary64_2057`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `distribute-lft-out_binary64_2075` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3655 to 2017 computations (44.8% saved)

series550.0ms (14.7%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

190.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
141.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
101.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
52.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3239 to 2326 computations (28.2% saved)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4968	2258
1	4968	2258

prune205.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Error

0.0b

Counts

132 → 2

Compiler

Compiled 4613 to 2511 computations (45.6% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.4b	(.f64 a (.f64 a (*.f64 b b)))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.6b	(.f64 a (.f64 b b))

rewrite222.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
15×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
11×	`add-sqr-sqrt_binary64_2146`
10×	`*-un-lft-identity_binary64_2124`
9×	`associate-r_binary64_2064`
8×	`add-cube-cbrt_binary64_2159` `associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163` `-commutative_binary64_2055` `associate-r/_binary64_2066`
3×	`unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
2×	`sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090`
1×	`flip3--_binary64_2128` `flip--_binary64_2099` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series349.0ms (9.4%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

100.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
87.0ms	(.f64 a (.f64 a (*.f64 b b)))
69.0ms	(.f64 a (.f64 b b))
49.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify70.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5115	1236

prune223.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Error

0.0b

Counts

117 → 2

Compiler

Compiled 4784 to 2796 computations (41.6% saved)

regimes221.0ms (5.9%)

Accuracy

Total 0.0b remaining (48.1%)

Threshold costs 0.0b (48.1%)

Compiler

Compiled 3081 to 2089 computations (32.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.3s (34.1%)

Algorithm

1×

intervals

Results

547.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 597 to 413 computations (30.8% saved)

Details

analyze132.0ms (3.5%)

sample26.0ms (0.7%)

simplify145.0ms (3.9%)

prune4.0ms (0.1%)

localize20.0ms (0.5%)

rewrite191.0ms (5.1%)

series550.0ms (14.7%)

simplify74.0ms (2%)

prune205.0ms (5.5%)

localize23.0ms (0.6%)

rewrite222.0ms (5.9%)

series349.0ms (9.4%)

simplify70.0ms (1.9%)

prune223.0ms (6%)

regimes221.0ms (5.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34.1%)

Profiling