Details

analyze72.0ms (0.8%)

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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
3×	`unpow-prod-down_binary64_2544` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `pow-unpow_binary64_2542` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
2×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439`
1×	`-commutative_binary64_2396` `unpow2_binary64_2530` `pow-exp_binary64_2533` `unswap-sqr_binary64_2433` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `associate-r*_binary64_2405`

Counts

4 → 59

Calls

4 calls:

8.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

series665.0ms (7.6%)

Counts

4 → 51

Calls

4 calls:

357.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
184.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
97.0ms	(+.f64 (.f64 a a) (.f64 b b))
27.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1426 to 1265 computations (11.3% saved)

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5017	1762

prune119.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Merged error: 0.0b

Counts

111 → 3

Compiler

Compiled 2366 to 1193 computations (49.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b))) 1)
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
3.6b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
27×	`add-log-exp_binary64_2504`
18×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
12×	`sum-log_binary64_2556`
11×	`add-sqr-sqrt_binary64_2487`
9×	`*-un-lft-identity_binary64_2465`
6×	`add-cube-cbrt_binary64_2500`
4×	`diff-log_binary64_2557` `associate-l_binary64_2406`
3×	`cancel-sign-sub-inv_binary64_2431`
2×	`difference-of-squares_binary64_2434` `-commutative_binary64_2396` `associate-r*_binary64_2405`
1×	`flip3-+_binary64_2468` `difference-of-sqr-1_binary64_2435` `+-commutative_binary64_2395` `flip--_binary64_2440` `associate-+l+_binary64_2398` `flip-+_binary64_2439` `distribute-lft-out--_binary64_2417` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `associate--l+_binary64_2402` `flip3--_binary64_2469`

Counts

4 → 83

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b))) 1)
13.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
6.0ms	(.f64 4 (.f64 b b))

series857.0ms (9.7%)

Counts

4 → 45

Calls

4 calls:

369.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
364.0ms	(-.f64 (+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b))) 1)
99.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
24.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1422 to 1262 computations (11.3% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4952	2824
1	4952	2824

prune163.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

Compiler

Compiled 3440 to 2086 computations (39.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))
12.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
12.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
12.3b	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))
8.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
7.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

series1.7s (18.8%)

Counts

4 → 60

Calls

4 calls:

588.0ms	(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))))
363.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
357.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
347.0ms	(cbrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

Compiler

Compiled 5772 to 4269 computations (26% saved)

simplify118.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4943	5335
1	4943	5335

prune363.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	147	3	150

Merged error: 0.0b

Counts

150 → 3

Compiler

Compiled 8496 to 4082 computations (52% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)
1.6b	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
4.2b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
47.1b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 64 (pow.f64 b 6))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))

rewrite69.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_2503`
27×	`*-un-lft-identity_binary64_2465`
18×	`prod-exp_binary64_2514`
17×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
15×	`add-cbrt-cube_binary64_2501`
12×	`times-frac_binary64_2471`
9×	`add-log-exp_binary64_2504`
8×	`associate-l_binary64_2406`
6×	`unpow-prod-down_binary64_2544` `cbrt-unprod_binary64_2498`
5×	`pow1_binary64_2526` `distribute-lft-out_binary64_2416`
4×	`associate-/r*_binary64_2409` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`sum-log_binary64_2556` `associate-/l/_binary64_2412` `sqr-pow_binary64_2437` `associate-+r+_binary64_2397` `associate-/r/_binary64_2411`
1×	`-commutative_binary64_2396` `+-commutative_binary64_2395` `unpow2_binary64_2530` `associate-+r-_binary64_2399` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `associate-r*_binary64_2405`

Counts

4 → 97

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 64 (pow.f64 b 6))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
15.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
13.0ms	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)

series2.6s (29.5%)

Counts

4 → 39

Calls

4 calls:

2.3s	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 64 (pow.f64 b 6))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
136.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 16 (pow.f64 b 4)) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
64.0ms	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
55.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4)

Compiler

Compiled 3754 to 2977 computations (20.7% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4954	6821
1	4954	6821

prune374.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0.0b

Counts

139 → 3

Compiler

Compiled 8095 to 4204 computations (48.1% saved)

regimes235.0ms (2.7%)

Compiler: Compiled 3060 to 2041 computations (33.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample867.0ms (9.9%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 462 to 315 computations (31.8% saved)

Details

analyze72.0ms (0.8%)

sample17.0ms (0.2%)

simplify125.0ms (1.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite31.0ms (0.3%)

series665.0ms (7.6%)

simplify84.0ms (1%)

prune119.0ms (1.4%)

localize15.0ms (0.2%)

rewrite56.0ms (0.6%)

series857.0ms (9.7%)

simplify103.0ms (1.2%)

prune163.0ms (1.8%)

localize18.0ms (0.2%)

rewrite57.0ms (0.6%)

series1.7s (18.8%)

simplify118.0ms (1.3%)

prune363.0ms (4.1%)

localize23.0ms (0.3%)

rewrite69.0ms (0.8%)

series2.6s (29.5%)

simplify102.0ms (1.2%)

prune374.0ms (4.3%)

regimes235.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample867.0ms (9.9%)

Profiling