Details

analyze250.0ms (6.8%)

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)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	8×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify339.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (244.0ms)

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 (0.3%)

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))
0.2b	(*.f64 x (log.f64 y))

rewrite29.0ms (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:

13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
5.0ms	(*.f64 x (log.f64 y))

series118.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
44.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
29.0ms	(*.f64 x (log.f64 y))

simplify86.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4934	1184
1	4934	1184

prune68.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Error

0.0b

Counts

90 → 7

Compiler

Compiled 1485 to 371 computations (75% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_2551`
18×	`add-sqr-sqrt_binary64_2487` `cbrt-prod_binary64_2496`
16×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
12×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `associate-+r+_binary64_2397`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`associate-r_binary64_2405`
3×	`pow1/3_binary64_2547` `associate-l_binary64_2406`
2×	`log-pow_binary64_2554`
1×	`flip3-+_binary64_2468` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `cbrt-unprod_binary64_2498`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series306.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)
75.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
72.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5197	988

prune96.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Error

Counts

97 → 7

Compiler

Compiled 2176 to 896 computations (58.8% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2496`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 50

Calls

4 calls:

4.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series386.0ms (10.5%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt.f64 (cbrt.f64 y))
107.0ms	(cbrt.f64 (cbrt.f64 y))
83.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4984	466
1	4984	466

prune71.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Error

Counts

69 → 7

Compiler

Compiled 1902 to 760 computations (60% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
0.4b	(*.f64 (log.f64 y) 2/3)
0.5b	(cbrt.f64 (sqrt.f64 y))
0.5b	(cbrt.f64 (sqrt.f64 y))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `cbrt-prod_binary64_2496`
9×	`pow1_binary64_2526`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
7×	`associate-l_binary64_2406`
6×	`sqrt-prod_binary64_2481` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504`
2×	`-commutative_binary64_2396` `associate-r/_binary64_2407` `unswap-sqr_binary64_2433` `pow1/3_binary64_2547` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
1×	`flip3-+_binary64_2468` `distribute-lft-in_binary64_2414` `log-pow_binary64_2554` `flip-+_binary64_2439` `distribute-rgt-in_binary64_2415`

Counts

4 → 69

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
4.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series253.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y)))))
59.0ms	(cbrt.f64 (sqrt.f64 y))
54.0ms	(cbrt.f64 (sqrt.f64 y))
47.0ms	(*.f64 (log.f64 y) 2/3)

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4917	1072
1	4917	1072

prune94.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	81	7	88

Error

Counts

88 → 7

Compiler

Compiled 2444 to 947 computations (61.3% saved)

regimes259.0ms (7%)

Accuracy

Total 0.1b remaining (95.5%)

Threshold costs 0.1b (95.5%)

Compiler

Compiled 2494 to 1948 computations (21.9% 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%)

sample1.0s (28%)

Algorithm

1×

intervals

Results

466.0ms	7999×	body	128	valid
19.0ms	377×	body	128	nan
2.0ms	28×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 327 to 257 computations (21.4% saved)

Details

analyze250.0ms (6.8%)

sample25.0ms (0.7%)

simplify339.0ms (9.2%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite29.0ms (0.8%)

series118.0ms (3.2%)

simplify86.0ms (2.3%)

prune68.0ms (1.9%)

localize15.0ms (0.4%)

rewrite24.0ms (0.7%)

series306.0ms (8.3%)

simplify48.0ms (1.3%)

prune96.0ms (2.6%)

localize20.0ms (0.5%)

rewrite12.0ms (0.3%)

series386.0ms (10.5%)

simplify32.0ms (0.9%)

prune71.0ms (1.9%)

localize19.0ms (0.5%)

rewrite25.0ms (0.7%)

series253.0ms (6.8%)

simplify66.0ms (1.8%)

prune94.0ms (2.5%)

regimes259.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28%)

Profiling