Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.7b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (/ y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

7.0ms

(* x (/ y z))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify76.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	168	139
1	746	124
2	3155	124
3	5002	124

prune90.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Merged error: 0.0b

Counts

38 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series618.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt y)
188.0ms	(cbrt y)
184.0ms	(cbrt y)
47.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	360	607
1	2037	471
2	5002	432

prune263.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.6b	(* x (/ (cbrt y) z))
2.6b	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
28×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
18×	`pow1`
16×	`cbrt-prod`
15×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-*r/` `div-exp` `unswap-sqr`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(* x (/ (cbrt y) z))
12.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt y)
190.0ms	(cbrt y)
104.0ms	(* x (/ (cbrt y) z))
48.0ms	(* (* (cbrt y) (cbrt y)) (* x (/ (cbrt y) z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	365	619
1	1777	502
2	5001	468

prune277.0ms

Filtered

111 candidates to 83 candidates (74.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	3	111
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	114	7	121

Merged error: 0b

Counts

121 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (* x (cbrt y)) (/ 1 z))
2.6b	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
63×	`prod-exp`
41×	`add-cbrt-cube`
33×	`cbrt-unprod`
30×	`pow1`
18×	`pow-prod-down`
14×	`associate-r`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`div-exp`
9×	`times-frac`
6×	`cbrt-undiv` `cbrt-prod` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `un-div-inv` `*-commutative`
1×	`div-inv`

Counts

4 → 114

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(* (* x (cbrt y)) (/ 1 z))
15.0ms	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

series543.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt y)
193.0ms	(cbrt y)
107.0ms	(* (* x (cbrt y)) (/ 1 z))
43.0ms	(* (* (cbrt y) (cbrt y)) (* (* x (cbrt y)) (/ 1 z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	470	845
1	2320	634
2	5002	518

prune215.0ms

Filtered

126 candidates to 65 candidates (51.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0b

Counts

133 → 7

regimes173.0ms

Accuracy

93.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample517.0ms

Algorithm

intervals

Results

275.0ms

9644×

body

valid