Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

317×

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))

rewrite35.0ms

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:

25.0ms	(* (- 1.0 x) z)
10.0ms	(+ (* x y) (* (- 1.0 x) z))

series53.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (- 1.0 x) z)
27.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))
0.5b	(cbrt (* (- 1.0 x) z))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
8.0ms	(cbrt (* (- 1.0 x) z))
8.0ms	(cbrt (* (- 1.0 x) z))
8.0ms	(cbrt (* (- 1.0 x) z))

series368.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
85.0ms	(cbrt (* (- 1.0 x) z))
85.0ms	(cbrt (* (- 1.0 x) z))
84.0ms	(cbrt (* (- 1.0 x) z))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	366	875
1	1163	822
2	5001	760

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))
0.6b	(cbrt (+ (* x y) (* (- 1.0 x) z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
5.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
5.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
5.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

series615.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (+ (* x y) (* (- 1.0 x) z))) (cbrt (+ (* x y) (* (- 1.0 x) z))))
139.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
140.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))
136.0ms	(cbrt (+ (* x y) (* (- 1.0 x) z)))

simplify144.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	314	1273
1	1031	1192
2	4998	1084
3	5001	1084

prune280.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b	(* (- (* 1.0 1.0) (* x x)) z)
5.7b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

24.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
28.0ms	(* (- (* 1.0 1.0) (* x x)) z)
30.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
40.0ms	(* (- (* 1.0 1.0) (* x x)) z)
50.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify55.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	368	530
1	1781	465
2	5002	456

prune156.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes93.0ms

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

sample694.0ms

Algorithm

intervals

Results

425.0ms

10085×

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