Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample78.0ms

Algorithm

intervals

Results

24.0ms	295×	body	128	nan
21.0ms	256×	body	128	valid
3.0ms	40×	body	128	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

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

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

19.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series635.0ms

Counts

4 → 12

Calls

4 calls:

442.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
72.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
73.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
48.0ms	(*.f64 x (log.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5535	2089

prune114.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod_binary64`
36×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64`
12×	`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 → 102

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series586.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
135.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
173.0ms	(cbrt.f64 y)
165.0ms	(cbrt.f64 y)

simplify78.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4885	1356
1	4885	1356

prune135.0ms

Filtered

94 candidates to 114 candidates (-21.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
33×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
16.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series639.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(*.f64 x (log.f64 y))
260.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
153.0ms	(cbrt.f64 c)
171.0ms	(cbrt.f64 c)

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5498	1542

prune140.0ms

Filtered

93 candidates to 111 candidates (-19.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (log.f64 c)) (cbrt.f64 (log.f64 c)))
0.5b	(cbrt.f64 (log.f64 c))
0.5b	(cbrt.f64 (log.f64 c))
0.5b	(cbrt.f64 (log.f64 c))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64` `log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 81

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (log.f64 c)) (cbrt.f64 (log.f64 c)))
1.0ms	(cbrt.f64 (log.f64 c))
1.0ms	(cbrt.f64 (log.f64 c))
1.0ms	(cbrt.f64 (log.f64 c))

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(*.f64 (cbrt.f64 (log.f64 c)) (cbrt.f64 (log.f64 c)))
302.0ms	(cbrt.f64 (log.f64 c))
299.0ms	(cbrt.f64 (log.f64 c))
303.0ms	(cbrt.f64 (log.f64 c))

simplify82.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4900	830
1	4900	830

prune74.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

regimes196.0ms

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	47	47
1	47	47

end0.0ms

sample2.3s

Algorithm

intervals

Results

713.0ms	9770×	body	128	nan
670.0ms	7995×	body	128	valid
95.0ms	1169×	body	128	invalid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Details

analyze1.1s

sample78.0ms

simplify59.0ms

prune2.0ms

localize18.0ms

rewrite47.0ms

series635.0ms

simplify49.0ms

prune114.0ms

localize23.0ms

rewrite34.0ms

series586.0ms

simplify78.0ms

prune135.0ms

localize24.0ms

rewrite37.0ms

series639.0ms

simplify45.0ms

prune140.0ms

localize26.0ms

rewrite20.0ms

series1.2s

simplify82.0ms

prune74.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling