Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

394×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* (- y z) (- t x)))
37.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune104.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

7.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
7.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
9.0ms	(* (- y z) t)
8.0ms	(* (- y z) (- x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
54.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))
27.0ms	(* (- y z) t)
27.0ms	(* (- y z) (- x))

simplify63.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5002	518

prune188.0ms

Filtered

98 candidates to 78 candidates (79.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
1.0b	(cbrt (* (- y z) (- t x)))
1.0b	(cbrt (* (- y z) (- t x)))
1.0b	(cbrt (* (- y z) (- t x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

11.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

622.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
239.0ms	(cbrt (* (- y z) (- t x)))
242.0ms	(cbrt (* (- y z) (- t x)))
245.0ms	(cbrt (* (- y z) (- t x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	505	2854
1	1528	2786
2	5001	2722

prune548.0ms

Filtered

174 candidates to 124 candidates (71.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	174	5	179

Merged error: 0b

Counts

179 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- t x)) (cbrt (- t x)))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))

series564.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
150.0ms	(cbrt (- t x))
146.0ms	(cbrt (- t x))
143.0ms	(cbrt (- t x))

simplify156.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	260	760
1	908	723
2	4494	670
3	5001	660

prune269.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0b

Counts

118 → 5

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample600.0ms

Algorithm

intervals

Results

301.0ms

12140×

body

valid