Details

analyze880.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample33.0ms

Algorithm

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	44×	body	128	invalid
2.0ms	33×	body	128	nan

simplify427.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (420.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(*.f64 (-.f64 a 1/2) b)
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series429.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
41.0ms	(*.f64 (-.f64 a 1/2) b)
70.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
52.0ms	(*.f64 z (log.f64 t))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5285	1964

prune97.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0.0b

Counts

101 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.2b	(-.f64 z (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

8.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
7.0ms	(*.f64 (-.f64 a 1/2) b)
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series236.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
43.0ms	(*.f64 (-.f64 a 1/2) b)
69.0ms	(-.f64 z (*.f64 z (log.f64 t)))
54.0ms	(*.f64 z (log.f64 t))

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4780	1463
1	4780	1463

prune75.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.3b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.3b	(*.f64 (log.f64 (sqrt.f64 t)) z)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
11.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

series371.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
109.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
74.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
72.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5518	1882

prune93.0ms

Filtered

77 candidates to 109 candidates (-41.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.2b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
4.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series621.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
169.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
150.0ms	(cbrt.f64 t)
174.0ms	(cbrt.f64 t)

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5049	1191

prune74.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	40
1	99	40

end0.0ms

sample984.0ms

Algorithm

intervals

Results

485.0ms	7999×	body	128	valid
73.0ms	1206×	body	128	invalid
58.0ms	1194×	body	128	nan
0.0ms	1×	body	512	valid

Details

analyze880.0ms

sample33.0ms

simplify427.0ms

prune2.0ms

localize13.0ms

rewrite47.0ms

series429.0ms

simplify47.0ms

prune97.0ms

localize14.0ms

rewrite33.0ms

series236.0ms

simplify73.0ms

prune75.0ms

localize17.0ms

rewrite46.0ms

series371.0ms

simplify63.0ms

prune93.0ms

localize22.0ms

rewrite24.0ms

series621.0ms

simplify53.0ms

prune74.0ms

regimes208.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample984.0ms

Profiling