Details

analyze429.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample44.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
9.0ms	141×	body	80	nan

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5198	16

prune6.0ms

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: 0.3b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 0.5) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
19×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-+r+_binary64`
6×	`flip3--_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`
5×	`associate-l_binary64` `associate-+l-_binary64`
4×	`flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `frac-add_binary64` `log-div_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
13.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series110.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
54.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
10.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
14.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify48.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5002	1563

prune200.0ms

Filtered

84 candidates to 112 candidates (-33.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	10	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	10	113

Merged error: 0.0b

Counts

113 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)
0.1b	(*.f64 (-.f64 a 0.5) (log.f64 t))
0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
25×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
13×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
12×	`associate--l+_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-+r+_binary64`
7×	`log-pow_binary64` `associate-+l+_binary64` `sum-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-+r-_binary64` `diff-log_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

8.0ms	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)
7.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
14.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))
15.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))

series136.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)
14.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
89.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))
23.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))

simplify31.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5153	1450

prune130.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0.0b

Counts

120 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (log.f64 z) (log.f64 z))
0.6b	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.7b	(pow.f64 (log.f64 (+.f64 x y)) 3)
0.8b	(pow.f64 (log.f64 z) 3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1_binary64`
26×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64`
14×	`log-pow_binary64`
13×	`log-prod_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow-unpow_binary64` `swap-sqr_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
3×	`associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-to-exp_binary64` `associate--l-_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `log-div_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `pow-sqr_binary64` `flip--_binary64` `flip-+_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(*.f64 (log.f64 z) (log.f64 z))
8.0ms	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))
3.0ms	(pow.f64 (log.f64 (+.f64 x y)) 3)
4.0ms	(pow.f64 (log.f64 z) 3)

series94.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(*.f64 (log.f64 z) (log.f64 z))
14.0ms	(-.f64 (log.f64 (+.f64 x y)) (log.f64 z))
52.0ms	(pow.f64 (log.f64 (+.f64 x y)) 3)
16.0ms	(pow.f64 (log.f64 z) 3)

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	772
1	4961	772

prune116.0ms

Filtered

64 candidates to 123 candidates (-92.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	123	10	133

Merged error: 0.0b

Counts

133 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
28×	`associate-+l+_binary64`
26×	`*-un-lft-identity_binary64`
24×	`cbrt-prod_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`associate-+r+_binary64`
8×	`pow1_binary64` `associate-*l/_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1/3_binary64` `associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
7.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series93.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
20.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)
14.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4937	1075
1	4937	1075

prune150.0ms

Filtered

98 candidates to 110 candidates (-12.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	110	10	120

Merged error: 0b

Counts

120 → 10

regimes1.0s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

600.0ms	8000×	body	80	valid
286.0ms	4301×	body	80	nan
2.0ms	32×	body	80	invalid

Details

analyze429.0ms

sample44.0ms

simplify115.0ms

prune6.0ms

localize14.0ms

rewrite39.0ms

series110.0ms

simplify48.0ms

prune200.0ms

localize25.0ms

rewrite47.0ms

series136.0ms

simplify31.0ms

prune130.0ms

localize23.0ms

rewrite23.0ms

series94.0ms

simplify53.0ms

prune116.0ms

localize21.0ms

rewrite29.0ms

series93.0ms

simplify58.0ms

prune150.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling