Details

analyze526.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6226	119
0	4	4
1	4	4

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	17×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify258.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	4974	17
1	4974	17

prune3.0ms (0%)

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))

rewrite92.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `cancel-sign-sub-inv_binary64_2431`
8×	`pow1_binary64_2526`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`associate-r_binary64_2405` `diff-log_binary64_2557` `distribute-lft-out_binary64_2416`
3×	`associate-l_binary64_2406` `log-pow_binary64_2554` `sum-log_binary64_2556` `sub-neg_binary64_2458` `associate-+r+_binary64_2397`
2×	`distribute-lft-out--_binary64_2417`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+l-_binary64_2400` `+-commutative_binary64_2395` `flip3--_binary64_2469` `flip--_binary64_2440`

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))

Compiler

Compiled 1417 to 381 computations (73.1% saved)

series705.0ms (10.8%)

Error

0.1b

Counts

3 → 37

Calls

3 calls:

415.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
139.0ms	(*.f64 x (log.f64 y))
130.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

Compiler

Compiled 1015 to 724 computations (28.7% saved)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5067	1457

prune84.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Error

0.0b

Counts

118 → 5

Compiler

Compiled 1684 to 359 computations (78.7% saved)

localize16.0ms (0.2%)

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)

rewrite114.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_2551`
18×	`cbrt-prod_binary64_2496` `add-sqr-sqrt_binary64_2487`
16×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
12×	`distribute-rgt-in_binary64_2415` `associate-+r+_binary64_2397` `distribute-lft-in_binary64_2414`
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×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

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)

Compiler

Compiled 2118 to 806 computations (61.9% saved)

series701.0ms (10.7%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

280.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
250.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
79.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 1098 to 863 computations (21.4% saved)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5197	1022

prune102.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	95	6	101

Error

Counts

101 → 6

Compiler

Compiled 2258 to 911 computations (59.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
0.3b	(*.f64 1/3 x)
0.4b	(.f64 (.f64 1/3 x) (log.f64 y))
0.6b	(cbrt.f64 y)

rewrite108.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (.f64 1/3 x) (log.f64 y))
7.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
4.0ms	(*.f64 1/3 x)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2010 to 1045 computations (48% saved)

series677.0ms (10.4%)

Error

Counts

4 → 18

Calls

4 calls:

410.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 1/3 x) (log.f64 y)))
145.0ms	(.f64 (.f64 1/3 x) (log.f64 y))
82.0ms	(cbrt.f64 y)
20.0ms	(*.f64 1/3 x)

Compiler

Compiled 1233 to 960 computations (22.1% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4933	824
1	4933	824

prune90.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Error

Counts

95 → 6

Compiler

Compiled 2091 to 990 computations (52.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 47

Calls

4 calls:

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

Compiler

Compiled 1433 to 511 computations (64.3% saved)

series343.0ms (5.2%)

Error

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt.f64 (cbrt.f64 y))
80.0ms	(cbrt.f64 y)
79.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

Compiler

Compiled 1029 to 725 computations (29.5% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4718	376
1	4718	376

prune66.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Error

Counts

65 → 6

Compiler

Compiled 1712 to 651 computations (62% saved)

regimes634.0ms (9.7%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 6510 to 5204 computations (20.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms (0%)

sample1.6s (24.4%)

Algorithm

1×

intervals

Results

480.0ms	7998×	body	128	valid
14.0ms	336×	body	128	nan
2.0ms	33×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 829 to 664 computations (19.9% saved)

Details

analyze526.0ms (8%)

sample28.0ms (0.4%)

simplify258.0ms (3.9%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite92.0ms (1.4%)

series705.0ms (10.8%)

simplify74.0ms (1.1%)

prune84.0ms (1.3%)

localize16.0ms (0.2%)

rewrite114.0ms (1.7%)

series701.0ms (10.7%)

simplify51.0ms (0.8%)

prune102.0ms (1.6%)

localize18.0ms (0.3%)

rewrite108.0ms (1.7%)

series677.0ms (10.4%)

simplify82.0ms (1.3%)

prune90.0ms (1.4%)

localize20.0ms (0.3%)

rewrite63.0ms (1%)

series343.0ms (5.2%)

simplify79.0ms (1.2%)

prune66.0ms (1%)

regimes634.0ms (9.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (24.4%)

Profiling