Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

343×

body

valid

simplify101.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.0b	(* (- y x) (/ z t))

rewrite22.0ms

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)))
18.0ms	(* (- y x) (/ z t))

series76.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
41.0ms	(* (- y x) (/ z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (34.0ms)

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

prune125.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
3.0b	(* (cbrt (- y x)) (/ z t))
3.2b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
16.0ms	(* (cbrt (- y x)) (/ z t))
49.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series542.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- y x))
145.0ms	(cbrt (- y x))
194.0ms	(* (cbrt (- y x)) (/ z t))
48.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1859
2	5001	1806

prune408.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.2b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
49×	`frac-times`
48×	`cbrt-div`
37×	`prod-exp` `cbrt-unprod`
33×	`add-cbrt-cube`
25×	`associate-*l/`
24×	`flip3--` `flip--`
20×	`associate-*r/`
16×	`pow1`
14×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 110

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
80.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series642.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
187.0ms	(cbrt t)
195.0ms	(cbrt t)
74.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify87.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	667	1784
1	2509	1408
2	5003	1229

prune344.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite38.0ms

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:

30.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series327.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
70.0ms	(cbrt (/ z t))
68.0ms	(cbrt (/ z t))
62.0ms	(cbrt (/ z t))

simplify89.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (78.0ms)

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

prune347.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes275.0ms

Accuracy

-20.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch81.0ms

Steps

Iters	Range		Point
8	1.1641453856177518e+203	5.037961904163681e+206	2.8873350847868652e+205
8	-1.0424659286240171e-306	7.825026343919537e-308	3.2919483061570764e-308

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	11
1	27	11

end0.0ms

sample556.0ms

Algorithm

intervals

Results

285.0ms

10701×

body

valid