Details

analyze289.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Symmetry

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

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 58 to 38 computations (34.5% saved)

localize15.0ms (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 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite185.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `cancel-sign-sub-inv_binary64_2431`
4×	`associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`unswap-sqr_binary64_2433` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `difference-of-squares_binary64_2434` `associate-+r+_binary64_2397`
1×	`distribute-lft-out_binary64_2416` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 87

Calls

4 calls:

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

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series790.0ms (10%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

373.0ms	(+.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 3 a)))))
197.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
86.0ms	(.f64 (.f64 b b) (+.f64 3 a))
53.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune212.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Error

0.0b

Counts

142 → 4

Compiler

Compiled 4553 to 2397 computations (47.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
1.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite361.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cancel-sign-sub-inv_binary64_2431`
31×	`add-sqr-sqrt_binary64_2487`
27×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
26×	`associate-+r+_binary64_2397`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
17×	`unpow-prod-down_binary64_2544` `cube-prod_binary64_2493`
12×	`associate-r_binary64_2405`
11×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `difference-of-squares_binary64_2434`
7×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `sqr-pow_binary64_2437`
5×	`sub-neg_binary64_2458`
4×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r/_binary64_2407` `associate-l*_binary64_2406`
2×	`unswap-sqr_binary64_2433` `flip3-+_binary64_2468` `flip-+_binary64_2439` `*-commutative_binary64_2396` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `diff-log_binary64_2557`

Counts

4 → 141

Calls

4 calls:

12.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
11.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
7.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 5937 to 3997 computations (32.7% saved)

series423.0ms (5.3%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

123.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
121.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
69.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
65.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 2353 to 1862 computations (20.9% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5238	2513

prune356.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	170	4	174

Error

Counts

174 → 4

Compiler

Compiled 6434 to 4387 computations (31.8% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
1.0b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
22.4b	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
22.4b	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))

rewrite480.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_2487`
26×	`pow1_binary64_2526`
24×	`sqrt-prod_binary64_2481`
16×	`sqrt-div_binary64_2482`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-r_binary64_2405`
8×	`swap-sqr_binary64_2432`
7×	`associate-l_binary64_2406`
6×	`pow-prod-down_binary64_2536`
5×	`unswap-sqr_binary64_2433` `pow-prod-up_binary64_2535`
4×	`add-log-exp_binary64_2504` `rem-sqrt-square_binary64_2478` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-*r/_binary64_2407` `frac-times_binary64_2475`
3×	`pow-sqr_binary64_2438`
2×	`-commutative_binary64_2396` `associate-l/_binary64_2408`
1×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `pow2_binary64_2546` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `sqr-abs_binary64_2480` `rem-square-sqrt_binary64_2477`

Counts

4 → 111

Calls

4 calls:

30.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
12.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
12.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

Compiler

Compiled 7330 to 5016 computations (31.6% saved)

series504.0ms (6.4%)

Error

Counts

4 → 29

Calls

4 calls:

127.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))) (sqrt.f64 (+.f64 (.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))))
118.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
107.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))
104.0ms	(sqrt.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)))

Compiler

Compiled 2949 to 2246 computations (23.8% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5447	3415

prune389.0ms (4.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	140	4	144

Error

Counts

144 → 4

Compiler

Compiled 7186 to 4895 computations (31.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (+.f64 a 3) (.f64 b b))
20.8b	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

rewrite166.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
15×	`add-cbrt-cube_binary64_2501`
11×	`*-un-lft-identity_binary64_2465`
10×	`add-sqr-sqrt_binary64_2487`
9×	`add-cube-cbrt_binary64_2500`
8×	`cbrt-prod_binary64_2496`
6×	`associate-*l/_binary64_2408` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `pow-unpow_binary64_2542`
5×	`unpow-prod-down_binary64_2544`
4×	`add-log-exp_binary64_2504` `cube-div_binary64_2494` `associate-l_binary64_2406` `pow-pow_binary64_2537` `pow-exp_binary64_2533`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `sqr-pow_binary64_2437` `rem-cube-cbrt_binary64_2488`
2×	`cbrt-div_binary64_2497` `unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow-to-exp_binary64_2534`
1×	`pow1/3_binary64_2547` `rem-cbrt-cube_binary64_2489` `unswap-sqr_binary64_2433` `distribute-lft-out_binary64_2416` `associate-r_binary64_2405` `*-commutative_binary64_2396` `unpow2_binary64_2530`

Counts

4 → 86

Calls

4 calls:

9.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
8.0ms	(.f64 (+.f64 a 3) (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 3440 to 1899 computations (44.8% saved)

series425.0ms (5.4%)

Error

Counts

4 → 37

Calls

4 calls:

124.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
91.0ms	(pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3)
82.0ms	(.f64 (+.f64 a 3) (.f64 b b))
81.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 a 3) (.f64 b b)) 3))

Compiler

Compiled 3170 to 2242 computations (29.3% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5124	1575

prune187.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 4289 to 2414 computations (43.7% saved)

regimes633.0ms (8%)

Accuracy

Total 0.0b remaining (69.9%)

Threshold costs 0.0b (69.9%)

Compiler

Compiled 10511 to 7202 computations (31.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	49
1	55	49

Removed

()

end0.0ms (0%)

sample2.0s (25.7%)

Algorithm

1×

intervals

Results

475.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1847 to 1284 computations (30.5% saved)

Details

analyze289.0ms (3.6%)

sample27.0ms (0.3%)

simplify80.0ms (1%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite185.0ms (2.3%)

series790.0ms (10%)

simplify91.0ms (1.1%)

prune212.0ms (2.7%)

localize19.0ms (0.2%)

rewrite361.0ms (4.6%)

series423.0ms (5.3%)

simplify81.0ms (1%)

prune356.0ms (4.5%)

localize24.0ms (0.3%)

rewrite480.0ms (6.1%)

series504.0ms (6.4%)

simplify59.0ms (0.7%)

prune389.0ms (4.9%)

localize19.0ms (0.2%)

rewrite166.0ms (2.1%)

series425.0ms (5.4%)

simplify59.0ms (0.7%)

prune187.0ms (2.4%)

regimes633.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (25.7%)

Profiling