Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

342×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.8b	(* (- y x) (/ z t))

rewrite18.0ms

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:

2.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

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

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* (- y x) (/ z t)))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite54.0ms

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:

5.0ms	(cbrt (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))

series264.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (* (- y x) (/ z t)))
45.0ms	(* (- y x) (/ z t))
41.0ms	(* (- y x) (/ z t))
41.0ms	(* (- y x) (/ z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (37.0ms)

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

prune418.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* (- y x) (/ z t)))
6.8b	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(cbrt (* (- y x) (/ z t)))
76.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
14.0ms	(* (- y x) (/ z t))
18.0ms	(* (- y x) (/ z t))

series369.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (* (- y x) (/ z t)))
139.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
46.0ms	(* (- y x) (/ z t))
41.0ms	(* (- y x) (/ z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	487	1010
1	1897	930
2	5001	893

prune567.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-r`
44×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-cube-cbrt`
24×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
12×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 152

Calls

4 calls:

14.0ms	(* (- y x) (/ z t))
17.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))

series175.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- y x) (/ z t))
42.0ms	(* (- y x) (/ z t))
46.0ms	(* (- y x) (/ z t))
42.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	237	860
1	1031	776
2	5001	752

prune723.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

15.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch76.0ms

Steps

Iters	Range		Point
8	6.116983833116937e-129	2.1413885285583168e-125	1.1326421016751084e-125
9	-1.0987850996476219e-125	-1.3385834926714174e-130	-1.1131496519401694e-128

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample539.0ms

Algorithm

intervals

Results

279.0ms

10767×

body

valid