Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	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: 1.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `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 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune109.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cbrt-cube`
11×	`*-un-lft-identity`
9×	`cbrt-prod` `add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `flip3--` `times-frac` `associate-*l/` `flip--` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
17.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
180.0ms	(cbrt z)
173.0ms	(cbrt z)
117.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	385	599
1	1673	471
2	5003	438

prune228.0ms

Filtered

81 candidates to 62 candidates (76.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series705.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
174.0ms	(cbrt z)
182.0ms	(cbrt z)
172.0ms	(cbrt z)

simplify56.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune166.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
8.5b	(cbrt (/ z t))
8.5b	(cbrt (/ z t))
8.5b	(cbrt (/ z t))

rewrite23.0ms

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×	`flip3--` `flip--` `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 → 98

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series314.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
65.0ms	(cbrt (/ z t))
66.0ms	(cbrt (/ z t))
65.0ms	(cbrt (/ z t))

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	338	774
1	926	705
2	3350	693
3	5001	669

prune280.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	4	6
Picked	1	0	1
Done	1	2	3
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

regimes187.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample599.0ms

Algorithm

intervals

Results

329.0ms

10610×

body

valid