Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	238×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`associate--l+`
16×	`add-cube-cbrt`
12×	`log-prod` `prod-diff`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`fma-neg` `diff-log` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

9.0ms	(- (- (* x (log y)) z) y)
5.0ms	(* x (log y))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify136.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (130.0ms)

Iter	Nodes	Cost
0	302	480
1	1071	361
2	4460	338
3	5001	311

prune113.0ms

Filtered

74 candidates to 48 candidates (64.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	3	75

Merged error: 0.0b

Counts

75 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series529.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
169.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune326.0ms

Filtered

123 candidates to 101 candidates (82.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	123	3	126

Merged error: 0b

Counts

126 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (exp (* (log y) 1/3)))))
0.4b	(* (log y) 1/3)
0.5b	(cbrt y)
4.3b	(exp (* (log y) 1/3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
27×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
7×	`pow1` `add-log-exp`
6×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-r`
1×	`+-commutative` `exp-prod` `exp-to-pow` `fma-def` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (exp (* (log y) 1/3)))))
4.0ms	(* (log y) 1/3)
1.0ms	(cbrt y)
2.0ms	(exp (* (log y) 1/3))

series630.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (exp (* (log y) 1/3)))))
154.0ms	(* (log y) 1/3)
174.0ms	(cbrt y)
167.0ms	(exp (* (log y) 1/3))

simplify55.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	414	637
1	1440	511
2	5001	436

prune437.0ms

Filtered

103 candidates to 87 candidates (84.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
0.6b	(cbrt (cbrt y))
5.1b	(pow y 1/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
2.0ms	(cbrt (cbrt y))
2.0ms	(pow y 1/3)

series865.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
285.0ms	(cbrt (* (cbrt y) (cbrt y)))
237.0ms	(cbrt (cbrt y))
168.0ms	(pow y 1/3)

simplify54.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	171	244
1	497	214
2	1760	205
3	5001	200

prune276.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	72	3	75

Merged error: 0b

Counts

75 → 3

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample844.0ms

Algorithm

intervals

Results

291.0ms	8018×	body	80	valid
221.0ms	8040×	body	80	nan
0.0ms	1×	body	160	valid