Details

analyze317.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample52.0ms

Algorithm

intervals

Results

13.0ms	179×	body	80	valid
11.0ms	31×	body	640	valid
10.0ms	15×	body	1280	valid
5.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	8×	body	80	nan

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	656	13
1	656	13

prune4.0ms

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: 8.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
4.3b	(log.f64 (-.f64 1 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
9.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
6.0ms	(*.f64 x (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4924	979
1	4924	979

prune134.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
0.3b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
5.0ms	(*.f64 x (log.f64 y))
6.0ms	(*.f64 y -1/3)

series37.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (.f64 y -1/3) -1/2)) y))
8.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
7.0ms	(*.f64 x (log.f64 y))
2.0ms	(*.f64 y -1/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4948	961
1	4948	961

prune106.0ms

Filtered

63 candidates to 104 candidates (-65.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
7.0b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
9.4b	(log.f64 (+.f64 1 (sqrt.f64 y)))
9.8b	(log.f64 (-.f64 1 (sqrt.f64 y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
12.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
21.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
8.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
9.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4971	1297
1	4971	1297

prune132.0ms

Filtered

73 candidates to 106 candidates (-45.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

9.4b	(log.f64 (+.f64 1 (sqrt.f64 y)))
9.8b	(log.f64 (-.f64 1 (sqrt.f64 y)))
9.8b	(log.f64 (-.f64 1 (sqrt.f64 y)))
9.8b	(log.f64 (-.f64 1 (sqrt.f64 y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`log-prod_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
12×	`difference-of-squares_binary64`
10×	`sqrt-prod_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `log-div_binary64`
6×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`distribute-lft-out_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))
9.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
9.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
9.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4992	1101
1	4992	1101

prune132.0ms

Filtered

59 candidates to 88 candidates (-49.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

regimes307.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	20
1	40	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

358.0ms	5494×	body	80	valid
326.0ms	927×	body	640	valid
276.0ms	425×	body	1280	valid
154.0ms	715×	body	320	valid
58.0ms	439×	body	160	valid
17.0ms	257×	body	80	nan
3.0ms	33×	body	80	invalid

Details

analyze317.0ms

sample52.0ms

simplify25.0ms

prune4.0ms

localize11.0ms

rewrite25.0ms

series39.0ms

simplify53.0ms

prune134.0ms

localize15.0ms

rewrite35.0ms

series37.0ms

simplify44.0ms

prune106.0ms

localize19.0ms

rewrite28.0ms

series45.0ms

simplify53.0ms

prune132.0ms

localize20.0ms

rewrite24.0ms

series35.0ms

simplify67.0ms

prune132.0ms

regimes307.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling