Details

analyze537.0ms (4.5%)

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)

sample52.0ms (0.4%)

Algorithm

1×

intervals

Results

36.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5029	46

prune8.0ms (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)

localize39.0ms (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)))

rewrite77.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
14×	`add-cbrt-cube_binary64_2501`
10×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
8×	`add-cube-cbrt_binary64_2500`
7×	`associate-r_binary64_2405`
6×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407` `distribute-rgt-in_binary64_2415`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `flip-+_binary64_2439` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `cancel-sign-sub-inv_binary64_2431` `associate-+r+_binary64_2397` `associate-l*_binary64_2406`
1×	`+-commutative_binary64_2395` `unpow2_binary64_2530` `flip--_binary64_2440` `sum-log_binary64_2556` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469`

Counts

4 → 80

Calls

4 calls:

18.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
17.0ms	(+.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))))))
16.0ms	(.f64 (.f64 a a) (+.f64 1 a))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series1.3s (11%)

Counts

4 → 50

Calls

4 calls:

693.0ms	(+.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))))))
360.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
168.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
87.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2111 to 1687 computations (20.1% saved)

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5340	2516

prune366.0ms (3.1%)

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)

localize49.0ms (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))

rewrite130.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2526`
32×	`associate-*r/_binary64_2407`
26×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
20×	`pow-prod-down_binary64_2536` `frac-add_binary64_2473`
14×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
13×	`add-log-exp_binary64_2504`
8×	`-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487` `associate-r*_binary64_2405`
6×	`sum-log_binary64_2556` `add-cube-cbrt_binary64_2500`
5×	`flip--_binary64_2440` `flip3--_binary64_2469`
4×	`distribute-lft-in_binary64_2414` `pow-plus_binary64_2528` `distribute-rgt-in_binary64_2415` `pow-prod-up_binary64_2535`
3×	`-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-l*_binary64_2406`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `pow2_binary64_2546` `associate-+r+_binary64_2397` `pow-sqr_binary64_2438`
1×	`+-commutative_binary64_2395` `associate-+l+_binary64_2398` `distribute-lft-out_binary64_2416`

Counts

4 → 106

Calls

4 calls:

43.0ms	(+.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))))))
19.0ms	(.f64 (.f64 b b) (*.f64 a a))
17.0ms	(.f64 (.f64 a a) (+.f64 1 a))
16.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series1.0s (8.6%)

Counts

4 → 38

Calls

4 calls:

601.0ms	(+.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))))))
174.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
158.0ms	(.f64 (.f64 b b) (*.f64 a a))
85.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 1935 to 1537 computations (20.6% saved)

simplify154.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5129	5385

prune538.0ms (4.5%)

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)

localize38.0ms (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))

rewrite61.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2496`
12×	`add-sqr-sqrt_binary64_2487`
11×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544` `pow1_binary64_2526`
4×	`add-log-exp_binary64_2504`
3×	`unpow2_binary64_2530` `pow1/3_binary64_2547` `sqr-pow_binary64_2437` `prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431`
1×	`-commutative_binary64_2396` `flip--_binary64_2440` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `associate-l*_binary64_2406`

Counts

4 → 73

Calls

4 calls:

15.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(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))
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series1.5s (12.2%)

Counts

4 → 53

Calls

4 calls:

434.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
432.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
424.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
165.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 4977 to 3369 computations (32.3% saved)

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4922	2522
1	4922	2522

prune483.0ms (4.1%)

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)

localize38.0ms (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))

rewrite72.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2487`
13×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`cbrt-prod_binary64_2496`
11×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
10×	`add-cbrt-cube_binary64_2501`
9×	`unpow-prod-down_binary64_2544`
6×	`cube-prod_binary64_2493` `pow-unpow_binary64_2542`
4×	`add-log-exp_binary64_2504` `cube-div_binary64_2494`
3×	`sqr-pow_binary64_2437` `prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`flip3-+_binary64_2468` `distribute-lft-in_binary64_2414` `unpow3_binary64_2531` `flip-+_binary64_2439` `associate-*r/_binary64_2407` `cbrt-div_binary64_2497` `pow-exp_binary64_2533` `sub-neg_binary64_2458` `cube-mult_binary64_2495` `pow-to-exp_binary64_2534` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `pow-pow_binary64_2537`
1×	`rem-cube-cbrt_binary64_2488` `-commutative_binary64_2396` `unpow2_binary64_2530` `flip--_binary64_2440` `unswap-sqr_binary64_2433` `pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `flip3--_binary64_2469` `associate-l*_binary64_2406`

Counts

4 → 91

Calls

4 calls:

16.0ms	(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))
8.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

series1.6s (13.1%)

Counts

4 → 53

Calls

4 calls:

693.0ms	(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)
630.0ms	(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))
163.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
76.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 2752 to 2286 computations (16.9% saved)

simplify200.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4938	5949
1	4938	5949

prune487.0ms (4.1%)

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)

regimes552.0ms (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 (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms (0%)

sample2.3s (19.2%)

Algorithm

1×

intervals

Results

930.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 777 to 539 computations (30.6% saved)

Details

analyze537.0ms (4.5%)

sample52.0ms (0.4%)

simplify136.0ms (1.1%)

prune8.0ms (0.1%)

localize39.0ms (0.3%)

rewrite77.0ms (0.6%)

series1.3s (11%)

simplify110.0ms (0.9%)

prune366.0ms (3.1%)

localize49.0ms (0.4%)

rewrite130.0ms (1.1%)

series1.0s (8.6%)

simplify154.0ms (1.3%)

prune538.0ms (4.5%)

localize38.0ms (0.3%)

rewrite61.0ms (0.5%)

series1.5s (12.2%)

simplify145.0ms (1.2%)

prune483.0ms (4.1%)

localize38.0ms (0.3%)

rewrite72.0ms (0.6%)

series1.6s (13.1%)

simplify200.0ms (1.7%)

prune487.0ms (4.1%)

regimes552.0ms (4.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.3s (19.2%)

Profiling