Details

analyze199.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify169.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	5541	8

prune5.0ms

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 x (log.f64 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate--l+_binary64`
18×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow1_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
5.0ms	(*.f64 x (log.f64 y))

series26.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
8.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
8.0ms	(*.f64 x (log.f64 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4985	590
1	4985	590

prune69.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 y))
0.0b	(+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) z) y))
0.2b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.2b	(*.f64 x (log.f64 (sqrt.f64 y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod_binary64`
30×	`add-sqr-sqrt_binary64`
27×	`sqrt-prod_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`associate--l+_binary64`
24×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
14×	`pow1_binary64` `associate-+r+_binary64`
13×	`add-log-exp_binary64`
12×	`associate-r_binary64` `associate-+l+_binary64`
9×	`log-pow_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64`
3×	`pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 123

Calls

4 calls:

2.0ms	(log.f64 (sqrt.f64 y))
14.0ms	(+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) z) y))
5.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log.f64 (sqrt.f64 y))
12.0ms	(+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) z) y))
11.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
12.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4936	1239
1	4936	1239

prune109.0ms

Filtered

89 candidates to 135 candidates (-51.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series114.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
26.0ms	(cbrt.f64 y)
26.0ms	(cbrt.f64 y)
29.0ms	(cbrt.f64 y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune83.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
0.4b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y)))))
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64` `cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y)))))
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series73.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y))))
17.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) 2)) (*.f64 x (log.f64 (cbrt.f64 (sqrt.f64 y)))))
19.0ms	(cbrt.f64 (sqrt.f64 y))
17.0ms	(cbrt.f64 (sqrt.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4927	990
1	4927	990

prune84.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	15
1	29	15

end0.0ms

sample458.0ms

Algorithm

intervals

Results

292.0ms	7998×	body	80	valid
1.0ms	27×	body	80	invalid
1.0ms	33×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

Details

analyze199.0ms

sample18.0ms

simplify169.0ms

prune5.0ms

localize6.0ms

rewrite19.0ms

series26.0ms

simplify37.0ms

prune69.0ms

localize9.0ms

rewrite32.0ms

series41.0ms

simplify74.0ms

prune109.0ms

localize19.0ms

rewrite12.0ms

series114.0ms

simplify45.0ms

prune83.0ms

localize16.0ms

rewrite23.0ms

series73.0ms

simplify53.0ms

prune84.0ms

regimes155.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample458.0ms

Profiling