Details

analyze130.0ms (1.5%)

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)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (0%)

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 (0.2%)

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))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite39.0ms (0.4%)

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:

9.0ms	(+.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 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)

series736.0ms (8.5%)

Counts

4 → 54

Calls

4 calls:

383.0ms	(+.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))))))
195.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
107.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
52.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2220 to 1776 computations (20% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5452	2616

prune201.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Error

0.0b

Counts

135 → 4

Compiler

Compiled 4570 to 2508 computations (45.1% saved)

localize223.0ms (2.6%)

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))
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.7b	(.f64 (.f64 b b) (*.f64 a a))

rewrite62.0ms (0.7%)

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:

17.0ms	(+.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))))))
10.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series628.0ms (7.2%)

Counts

4 → 42

Calls

4 calls:

377.0ms	(+.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))))))
116.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
87.0ms	(.f64 (.f64 b b) (*.f64 a a))
47.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2052 to 1632 computations (20.5% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4957	5537
1	4957	5537

prune358.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	147	5	152

Error

Counts

152 → 5

Compiler

Compiled 7485 to 4406 computations (41.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
8.8b	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))
8.8b	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))

rewrite92.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`associate-*r/_binary64_2407`
40×	`frac-add_binary64_2473`
28×	`sqrt-div_binary64_2482`
26×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
16×	`pow1_binary64_2526`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
12×	`add-sqr-sqrt_binary64_2487`
10×	`flip--_binary64_2440` `flip3--_binary64_2469`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431`
2×	`-commutative_binary64_2396` `pow1/2_binary64_2545` `unswap-sqr_binary64_2433` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483` `associate-l*_binary64_2406`

Counts

4 → 104

Calls

4 calls:

22.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))
21.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))
11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))

series1.6s (18.3%)

Counts

4 → 60

Calls

4 calls:

721.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))
603.0ms	(sqrt.f64 (+.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))) (.f64 (.f64 a a) (+.f64 a 1)))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 (.f64 b a) (.f64 b a)) 2)))))
133.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
131.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))

Compiler

Compiled 7726 to 5794 computations (25% saved)

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5181	12002

prune1.0s (12.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	164	5	169

Error

Counts

169 → 5

Compiler

Compiled 17389 to 10217 computations (41.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
17.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
17.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite33.0ms (0.4%)

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:

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

series932.0ms (10.8%)

Counts

4 → 63

Calls

4 calls:

277.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
274.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
270.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
111.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 5033 to 3402 computations (32.4% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4997	3129
1	4997	3129

prune329.0ms (3.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	136	5	141

Error

Counts

141 → 5

Compiler

Compiled 8316 to 4149 computations (50.1% saved)

regimes313.0ms (3.6%)

Accuracy

Total 0.0b remaining (82.6%)

Threshold costs 0.0b (82.6%)

Compiler

Compiled 5262 to 3528 computations (33% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms (0%)

sample1.4s (15.8%)

Algorithm

1×

intervals

Results

536.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 1000 to 674 computations (32.6% saved)

Details

analyze130.0ms (1.5%)

sample28.0ms (0.3%)

simplify147.0ms (1.7%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite39.0ms (0.4%)

series736.0ms (8.5%)

simplify53.0ms (0.6%)

prune201.0ms (2.3%)

localize223.0ms (2.6%)

rewrite62.0ms (0.7%)

series628.0ms (7.2%)

simplify105.0ms (1.2%)

prune358.0ms (4.1%)

localize27.0ms (0.3%)

rewrite92.0ms (1.1%)

series1.6s (18.3%)

simplify110.0ms (1.3%)

prune1.0s (12.1%)

localize21.0ms (0.2%)

rewrite33.0ms (0.4%)

series932.0ms (10.8%)

simplify74.0ms (0.9%)

prune329.0ms (3.8%)

regimes313.0ms (3.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (15.8%)

Profiling