Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

351×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.9b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

4.0ms	(+ x (* (- y x) (/ z t)))
10.0ms	(* (- y x) (/ z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) (/ z t)))
51.0ms	(* (- y x) (/ z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune157.0ms

Filtered

62 candidates to 46 candidates (74.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	53	9	62
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	54	10	64

Merged error: 0.0b

Counts

64 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

15.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series338.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
65.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))
68.0ms	(cbrt (/ z t))

simplify94.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	351	805
1	953	733
2	3478	721
3	5001	697

prune387.0ms

Filtered

118 candidates to 93 candidates (78.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
3.8b	(cbrt (/ (cbrt z) t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

20.0ms	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
4.0ms	(cbrt (/ (cbrt z) t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series518.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (- y x) (* (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t))) (cbrt (/ z t))))
195.0ms	(cbrt (/ (cbrt z) t))
65.0ms	(cbrt (/ z t))
71.0ms	(cbrt (/ z t))

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	624	1449
1	2154	1313
2	5002	1307

prune674.0ms

Filtered

141 candidates to 123 candidates (87.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))
12.9b	(cbrt (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 96

Calls

4 calls:

3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series284.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (/ z t))
73.0ms	(cbrt (/ z t))
73.0ms	(cbrt (/ z t))
70.0ms	(cbrt (/ z t))

simplify64.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	113	596
1	225	568
2	569	560
3	1529	528
4	5001	508

prune422.0ms

Filtered

108 candidates to 88 candidates (81.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

regimes188.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample579.0ms

Algorithm

intervals

Results

306.0ms

10719×

body

valid