Details

analyze374.0ms

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

sample45.0ms

Algorithm

intervals

Results

20.0ms	256×	body	128	valid
9.0ms	135×	body	128	nan

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5147	25

prune2.0ms

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: 0.2b

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 1/2) (log.f64 t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite53.0ms

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:

10.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
18.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series751.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
353.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
73.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
87.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify71.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	2415
1	4999	2415

prune123.0ms

Filtered

84 candidates to 112 candidates (-33.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
0.1b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

16.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
11.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))

series565.0ms

Counts

3 → 9

Calls

3 calls:

359.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t)))
68.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))
137.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 1/2) (log.f64 t)) t))

simplify79.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4986	1908
1	4986	1908

prune82.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 0b

Counts

98 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite40.0ms

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:

16.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series637.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
148.0ms	(cbrt.f64 t)
168.0ms	(cbrt.f64 t)
92.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5687	1664

prune132.0ms

Filtered

98 candidates to 110 candidates (-12.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	111	7	118

Merged error: 0b

Counts

118 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2)))
0.3b	(.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2))
0.4b	(*.f64 -1/3 (neg.f64 (log.f64 t)))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
17×	`pow1_binary64`
15×	`associate-r_binary64` `add-sqr-sqrt_binary64`
13×	`log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `associate-*r/_binary64` `log-pow_binary64` `associate-+l+_binary64` `distribute-neg-in_binary64` `flip-+_binary64`
5×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `sum-log_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `frac-add_binary64` `distribute-lft-neg-in_binary64` `associate-l_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
3×	`distribute-rgt-neg-out_binary64` `associate-+l-_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `distribute-lft-neg-out_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `unsub-neg_binary64` `associate--l+_binary64`

Counts

4 → 104

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2)))
10.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2))
7.0ms	(*.f64 -1/3 (neg.f64 (log.f64 t)))
10.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series679.0ms

Counts

4 → 12

Calls

4 calls:

362.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2)))
135.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 t))) (+.f64 (*.f64 3 a) -3/2))
93.0ms	(*.f64 -1/3 (neg.f64 (log.f64 t)))
89.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify73.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	2231
1	4960	2231

prune103.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	117	6	123

Merged error: 0b

Counts

123 → 6

regimes203.0ms

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	38	25
1	38	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

632.0ms	8000×	body	128	valid
286.0ms	4238×	body	128	nan
3.0ms	34×	body	128	invalid

Details

analyze374.0ms

sample45.0ms

simplify130.0ms

prune2.0ms

localize14.0ms

rewrite53.0ms

series751.0ms

simplify71.0ms

prune123.0ms

localize15.0ms

rewrite43.0ms

series565.0ms

simplify79.0ms

prune82.0ms

localize22.0ms

rewrite40.0ms

series637.0ms

simplify47.0ms

prune132.0ms

localize18.0ms

rewrite53.0ms

series679.0ms

simplify73.0ms

prune103.0ms

regimes203.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling