Details

analyze237.0ms (1.9%)

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)

sample41.0ms (0.3%)

Algorithm

1×

intervals

Results

29.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify263.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5029	46

prune7.0ms (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)

localize38.0ms (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)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite71.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

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` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `distribute-lft-in_binary64_2073`
3×	`pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203`
2×	`cancel-sign-sub-inv_binary64_2090` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-+r+_binary64_2056` `associate-l*_binary64_2065` `sub-neg_binary64_2117` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow-pow_binary64_2196` `sum-log_binary64_2215` `pow-exp_binary64_2192` `distribute-lft-out_binary64_2075` `sqr-pow_binary64_2096` `+-commutative_binary64_2054` `unpow2_binary64_2189` `pow-to-exp_binary64_2193`

Counts

4 → 80

Calls

4 calls:

16.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
16.0ms	(+.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))))))
15.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series1.3s (10.5%)

Counts

4 → 50

Calls

4 calls:

664.0ms	(+.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))))))
349.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
167.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
100.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2111 to 1687 computations (20.1% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5340	2516

prune368.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Error

0.0b

Counts

131 → 3

Compiler

Compiled 4493 to 2463 computations (45.2% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.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))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.5b	(.f64 (.f64 b b) (*.f64 a a))

rewrite116.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2185`
32×	`associate-*r/_binary64_2066`
26×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
20×	`pow-prod-down_binary64_2195` `frac-add_binary64_2132`
14×	`prod-exp_binary64_2173` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
13×	`add-log-exp_binary64_2163`
8×	`add-sqr-sqrt_binary64_2146` `associate-r_binary64_2064` `*-un-lft-identity_binary64_2124`
6×	`sum-log_binary64_2215` `add-cube-cbrt_binary64_2159`
5×	`flip--_binary64_2099` `flip3--_binary64_2128`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
3×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-l*_binary64_2065`
2×	`cancel-sign-sub-inv_binary64_2090` `associate-+r+_binary64_2056` `sub-neg_binary64_2117` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `associate-+l+_binary64_2057`

Counts

4 → 106

Calls

4 calls:

34.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
17.0ms	(.f64 (.f64 a a) (+.f64 1 a))
16.0ms	(.f64 (.f64 b b) (*.f64 a a))
15.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series1.1s (8.8%)

Counts

4 → 38

Calls

4 calls:

661.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
169.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
155.0ms	(.f64 (.f64 b b) (*.f64 a a))
90.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 1935 to 1537 computations (20.6% saved)

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5129	5385

prune600.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Error

0.0b

Counts

147 → 3

Compiler

Compiled 7288 to 4280 computations (41.3% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite62.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2155`
12×	`add-sqr-sqrt_binary64_2146`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`unpow-prod-down_binary64_2203` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195` `pow1/3_binary64_2206` `prod-exp_binary64_2173` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`cancel-sign-sub-inv_binary64_2090` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `associate-*r/_binary64_2066` `distribute-lft-in_binary64_2073`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-l*_binary64_2065`

Counts

4 → 73

Calls

4 calls:

14.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
12.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series1.6s (12.8%)

Counts

4 → 53

Calls

4 calls:

489.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
458.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
449.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
164.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 4977 to 3369 computations (32.3% saved)

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4922	2522
1	4922	2522

prune534.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

129 → 3

Compiler

Compiled 7513 to 3662 computations (51.3% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3)
0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
31.5b	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3))

rewrite78.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2146`
13×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
12×	`cbrt-prod_binary64_2155`
11×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
10×	`add-cbrt-cube_binary64_2160`
9×	`unpow-prod-down_binary64_2203`
6×	`pow-unpow_binary64_2201` `cube-prod_binary64_2152`
4×	`add-log-exp_binary64_2163` `cube-div_binary64_2153`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sqr-pow_binary64_2096` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`unpow3_binary64_2190` `cbrt-div_binary64_2156` `cancel-sign-sub-inv_binary64_2090` `cube-mult_binary64_2154` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `associate-*r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `rem-cbrt-cube_binary64_2148` `-commutative_binary64_2055` `associate-l*_binary64_2065` `pow1/3_binary64_2206` `unpow2_binary64_2189` `rem-cube-cbrt_binary64_2147`

Counts

4 → 91

Calls

4 calls:

17.0ms	(pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3)
14.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
14.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3))
10.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

series1.6s (13.3%)

Counts

4 → 53

Calls

4 calls:

686.0ms	(pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3)
671.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))))) 3))
190.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
79.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 2752 to 2286 computations (16.9% saved)

simplify208.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4938	5949
1	4938	5949

prune537.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Error

0.0b

Counts

147 → 3

Compiler

Compiled 6223 to 3701 computations (40.5% saved)

regimes563.0ms (4.6%)

Accuracy

Total 0.0b remaining (70.1%)

Threshold costs 0.0b (70.1%)

Compiler

Compiled 4292 to 2965 computations (30.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms (0%)

sample2.4s (19.5%)

Algorithm

1×

intervals

Results

951.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 777 to 539 computations (30.6% saved)

Details

analyze237.0ms (1.9%)

sample41.0ms (0.3%)

simplify263.0ms (2.2%)

prune7.0ms (0.1%)

localize38.0ms (0.3%)

rewrite71.0ms (0.6%)

series1.3s (10.5%)

simplify100.0ms (0.8%)

prune368.0ms (3%)

localize45.0ms (0.4%)

rewrite116.0ms (1%)

series1.1s (8.8%)

simplify164.0ms (1.3%)

prune600.0ms (4.9%)

localize40.0ms (0.3%)

rewrite62.0ms (0.5%)

series1.6s (12.8%)

simplify160.0ms (1.3%)

prune534.0ms (4.4%)

localize37.0ms (0.3%)

rewrite78.0ms (0.6%)

series1.6s (13.3%)

simplify208.0ms (1.7%)

prune537.0ms (4.4%)

regimes563.0ms (4.6%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample2.4s (19.5%)

Profiling