Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify108.0ms

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

rewrite42.0ms

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:

7.0ms	(+ x (* (- y x) (/ z t)))
33.0ms	(* (- y x) (/ z t))

series75.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* (- y x) (/ z t)))
39.0ms	(* (- y x) (/ z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (36.0ms)

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

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.1b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite62.0ms

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)
57.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series621.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt z)
171.0ms	(cbrt z)
166.0ms	(cbrt z)
116.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

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

prune249.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.9b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
61.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
178.0ms	(cbrt t)
170.0ms	(cbrt t)
70.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune289.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
1.5b	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
107.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- y x))
142.0ms	(cbrt (- y x))
137.0ms	(cbrt (- y x))
72.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	548	1483
1	2067	1115
2	5001	960

prune290.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes205.0ms

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

sample640.0ms

Algorithm

intervals

Results

261.0ms

10733×

body

valid