Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

333×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

10.0ms	(* (- 1.0 x) z)
3.0ms	(+ (* x y) (* (- 1.0 x) z))

series62.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 x) z)
32.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	185	183
1	776	166
2	4093	166
3	5001	166

prune82.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

21.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))

series367.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
86.0ms	(cbrt (- 1.0 x))
86.0ms	(cbrt (- 1.0 x))
90.0ms	(cbrt (- 1.0 x))

simplify138.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	316	847
1	1003	807
2	4432	753
3	5001	749

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.4b	(pow (cbrt (cbrt (- 1.0 x))) 4)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt` `unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
2.0ms	(cbrt (- 1.0 x))
6.0ms	(pow (cbrt (cbrt (- 1.0 x))) 4)

series426.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (- 1.0 x))
92.0ms	(cbrt (- 1.0 x))
89.0ms	(cbrt (- 1.0 x))
152.0ms	(pow (cbrt (cbrt (- 1.0 x))) 4)

simplify137.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	372	624
1	1141	594
2	4245	567
3	5001	567

prune327.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.6b	(* (- (* 1.0 1.0) (* x x)) z)
7.5b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

3.0ms	(- (* 1.0 1.0) (* x x))
10.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
14.0ms	(* (- (* 1.0 1.0) (* x x)) z)
10.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* 1.0 1.0) (* x x))
51.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
43.0ms	(* (- (* 1.0 1.0) (* x x)) z)
54.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	379	609
1	1795	534
2	5001	525

prune190.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample706.0ms

Algorithm

intervals

Results

497.0ms

10214×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4