Details

analyze243.0ms (5.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	10×	body	128	nan

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify353.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (254.0ms)

Iter	Nodes	Cost
0	4974	17
1	4974	17

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.3b	(*.f64 x (log.f64 y))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_2465`
22×	`associate--l+_binary64_2402`
21×	`log-prod_binary64_2551`
17×	`add-sqr-sqrt_binary64_2487`
15×	`add-cube-cbrt_binary64_2500`
14×	`associate-+l+_binary64_2398`
11×	`add-log-exp_binary64_2504`
9×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431`
8×	`pow1_binary64_2526`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`diff-log_binary64_2557` `associate-r_binary64_2405` `distribute-lft-out_binary64_2416`
3×	`log-pow_binary64_2554` `sum-log_binary64_2556` `sub-neg_binary64_2458` `associate-+r+_binary64_2397` `associate-l_binary64_2406`
2×	`distribute-lft-out--_binary64_2417`
1×	`flip3-+_binary64_2468` `associate-+l-_binary64_2400` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `flip--_binary64_2440` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `flip3--_binary64_2469` `cbrt-unprod_binary64_2498`

Counts

3 → 80

Calls

3 calls:

15.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
6.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
6.0ms	(*.f64 x (log.f64 y))

series118.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
41.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
32.0ms	(*.f64 x (log.f64 y))

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4934	1184
1	4934	1184

prune69.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1442 to 345 computations (76.1% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2487`
13×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`log-prod_binary64_2551` `pow1_binary64_2526` `cbrt-prod_binary64_2496`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
3×	`pow1/3_binary64_2547`
2×	`*-commutative_binary64_2396` `log-pow_binary64_2554`
1×	`unswap-sqr_binary64_2433`

Counts

4 → 72

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series312.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
74.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
70.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify88.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4942	834
1	4942	834

prune92.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Error

Counts

89 → 7

Compiler

Compiled 2078 to 901 computations (56.6% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.6b	(cbrt.f64 y)
5.2b	(pow.f64 y 1/3)

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465` `log-prod_binary64_2551` `add-cube-cbrt_binary64_2500`
12×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
11×	`add-cbrt-cube_binary64_2501`
9×	`unpow-prod-down_binary64_2544`
7×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
6×	`associate-l_binary64_2406`
5×	`associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
3×	`sqr-pow_binary64_2437` `pow-unpow_binary64_2542` `cbrt-prod_binary64_2496`
2×	`*-commutative_binary64_2396`
1×	`log-pow_binary64_2554` `pow-exp_binary64_2533` `unswap-sqr_binary64_2433` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `unpow1/3_binary64_2532` `pow-pow_binary64_2537`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series292.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 y)
77.0ms	(pow.f64 y 1/3)
74.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
61.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify73.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5014	864

prune101.0ms (2.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Error

Counts

99 → 7

Compiler

Compiled 2281 to 1160 computations (49.1% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
20×	`pow1_binary64_2526`
17×	`*-un-lft-identity_binary64_2465`
15×	`add-cube-cbrt_binary64_2500`
9×	`log-pow_binary64_2554` `swap-sqr_binary64_2432` `pow1/3_binary64_2547`
7×	`associate-r_binary64_2405` `associate-l_binary64_2406`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`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 → 81

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

series622.0ms (15.1%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt.f64 (log.f64 y))
159.0ms	(cbrt.f64 (log.f64 y))
150.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
146.0ms	(cbrt.f64 (log.f64 y))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4931	830
1	4931	830

prune85.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	93	7	100

Error

Counts

100 → 7

Compiler

Compiled 2099 to 627 computations (70.1% saved)

regimes268.0ms (6.5%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

Compiler

Compiled 2486 to 2004 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms (0%)

sample1.1s (25.6%)

Algorithm

1×

intervals

Results

470.0ms	7998×	body	128	valid
19.0ms	379×	body	128	nan
2.0ms	34×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 326 to 264 computations (19% saved)

Details

analyze243.0ms (5.9%)

sample26.0ms (0.6%)

simplify353.0ms (8.6%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite34.0ms (0.8%)

series118.0ms (2.9%)

simplify90.0ms (2.2%)

prune69.0ms (1.7%)

localize18.0ms (0.4%)

rewrite21.0ms (0.5%)

series312.0ms (7.6%)

simplify88.0ms (2.1%)

prune92.0ms (2.2%)

localize25.0ms (0.6%)

rewrite23.0ms (0.6%)

series292.0ms (7.1%)

simplify73.0ms (1.8%)

prune101.0ms (2.4%)

localize17.0ms (0.4%)

rewrite20.0ms (0.5%)

series622.0ms (15.1%)

simplify64.0ms (1.5%)

prune85.0ms (2.1%)

regimes268.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (25.6%)

Profiling