Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.7b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

9.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 y) z)
47.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune84.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms	(* (* x z) (- y 1.0))

series109.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms	(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune79.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* x z) (- y 1.0))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt` `associate-r`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 59

Calls

4 calls:

11.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x z) (- y 1.0))
201.0ms	(cbrt (* (* x z) (- y 1.0)))
190.0ms	(cbrt (* (* x z) (- y 1.0)))
185.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune233.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

2.7b	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
3.8b	(* (- (* 1.0 1.0) (* y y)) z)
6.4b	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

37.0ms	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
10.0ms	(* (- (* 1.0 1.0) (* y y)) z)
9.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

series180.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* x (- 1.0 (/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))))
37.0ms	(* (- (* 1.0 1.0) (* y y)) z)
56.0ms	(/ (* (- (* 1.0 1.0) (* y y)) z) (+ 1.0 y))

simplify61.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	397	661
1	2002	573
2	5003	565

prune165.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

96.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample439.0ms

Algorithm

intervals

Results

236.0ms

10150×

body

valid