Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

364×

body

valid

simplify109.0ms

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: 2.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.0b	(* (- 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))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- 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

prune112.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
1.8b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite19.0ms

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)
14.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt z)
170.0ms	(cbrt z)
170.0ms	(cbrt z)
120.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify46.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (40.0ms)

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

prune230.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
3.2b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
3.2b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
3.2b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

18.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
12.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
11.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
11.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

series876.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
250.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
253.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
250.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	480	1283
1	1900	1114
2	5001	1088

prune363.0ms

Filtered

90 candidates to 72 candidates (80.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* (- y x) (/ z t)))
8.0b	(* (- y x) (/ z t))
8.0b	(* (- y x) (/ z t))
8.0b	(* (- y x) (/ z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 128

Calls

4 calls:

6.0ms	(cbrt (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))
9.0ms	(* (- y x) (/ z t))

series266.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (* (- y x) (/ z t)))
40.0ms	(* (- y x) (/ z t))
40.0ms	(* (- y x) (/ z t))
45.0ms	(* (- y x) (/ z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	375	801
1	1475	729
2	5002	709

prune340.0ms

Filtered

140 candidates to 103 candidates (73.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	140	10	150

Merged error: 0.0b

Counts

150 → 10

regimes239.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample568.0ms

Algorithm

intervals

Results

303.0ms

10700×

body

valid