Details

analyze293.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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 (0.4%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (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 (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.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)
1.2b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite173.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
14×	`add-cbrt-cube_binary64_2160`
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`
4×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-*r/_binary64_2066`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201`
2×	`unswap-sqr_binary64_2092` `sub-neg_binary64_2117` `cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065` `*-commutative_binary64_2055` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056`
1×	`flip3--_binary64_2128` `flip--_binary64_2099` `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 → 80

Calls

4 calls:

10.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series781.0ms (12.8%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

371.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
186.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
100.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
45.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3720 to 2815 computations (24.3% saved)

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5452	2603

prune194.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 4533 to 2486 computations (45.2% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(.f64 a (.f64 a (*.f64 b b)))
1.2b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.3b	(.f64 a (.f64 b b))

rewrite208.0ms (3.4%)

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:

9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 a (.f64 b b))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series336.0ms (5.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

96.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
77.0ms	(.f64 a (.f64 a (*.f64 b b)))
71.0ms	(.f64 a (.f64 b b))
52.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5115	1236

prune203.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	115	3	118

Error

0.0b

Counts

118 → 3

Compiler

Compiled 4847 to 2834 computations (41.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
1.2b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
8.0b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite271.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2185`
14×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
12×	`add-sqr-sqrt_binary64_2146`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
6×	`sqrt-prod_binary64_2140` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
4×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141` `associate-*l/_binary64_2067`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3-+_binary64_2127` `flip-+_binary64_2098` `rem-sqrt-square_binary64_2137` `unswap-sqr_binary64_2092` `flip3--_binary64_2128` `flip--_binary64_2099` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 72

Calls

4 calls:

10.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

Compiler

Compiled 5764 to 3126 computations (45.8% saved)

series1.0s (16.6%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

329.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
328.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
111.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
96.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

Compiler

Compiled 9046 to 6237 computations (31.1% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5153	4130

prune350.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Error

0.0b

Counts

129 → 3

Compiler

Compiled 8660 to 4775 computations (44.9% saved)

regimes395.0ms (6.5%)

Accuracy

Total 0.0b remaining (72.9%)

Threshold costs 0.0b (72.9%)

Compiler

Compiled 6796 to 4463 computations (34.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.6s (25.4%)

Algorithm

1×

intervals

Results

527.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1155 to 773 computations (33.1% saved)

Details

analyze293.0ms (4.8%)

sample26.0ms (0.4%)

simplify61.0ms (1%)

prune3.0ms (0.1%)

localize20.0ms (0.3%)

rewrite173.0ms (2.8%)

series781.0ms (12.8%)

simplify54.0ms (0.9%)

prune194.0ms (3.2%)

localize23.0ms (0.4%)

rewrite208.0ms (3.4%)

series336.0ms (5.5%)

simplify67.0ms (1.1%)

prune203.0ms (3.3%)

localize21.0ms (0.3%)

rewrite271.0ms (4.4%)

series1.0s (16.6%)

simplify59.0ms (1%)

prune350.0ms (5.7%)

regimes395.0ms (6.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (25.4%)

Profiling