Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

330×

body

valid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series74.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (- z x)))
46.0ms	(* y (- z x))

simplify86.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune64.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.6b	(cbrt (* y (- z x)))
3.6b	(cbrt (* y (- z x)))
3.6b	(cbrt (* y (- z x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))
4.0ms	(cbrt (* y (- z x)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
154.0ms	(cbrt (* y (- z x)))
155.0ms	(cbrt (* y (- z x)))
160.0ms	(cbrt (* y (- z x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	254	606
1	837	553
2	3945	507
3	5001	499

prune194.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (- z x))
3.6b	(cbrt (* y (- z x)))
3.6b	(cbrt (* y (- z x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt y)
3.0ms	(cbrt (- z x))
4.0ms	(cbrt (* y (- z x)))
5.0ms	(cbrt (* y (- z x)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
141.0ms	(cbrt (- z x))
158.0ms	(cbrt (* y (- z x)))
156.0ms	(cbrt (* y (- z x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	242	318
1	558	296
2	1850	283
3	5001	273

prune183.0ms

Filtered

60 candidates to 54 candidates (90.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series711.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt y) (cbrt y))
169.0ms	(cbrt y)
175.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune155.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Merged error: 0b

Counts

91 → 6

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample456.0ms

Algorithm

intervals

Results

244.0ms

10213×

body

valid