Details

Time bar (total: 3.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms305×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.0b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (- 1.0 (* y z)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune54.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.5b
(* (cbrt x) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series647.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
205.0ms
(cbrt x)
185.0ms
(* (cbrt x) (- 1.0 (* y z)))
74.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0298655
11298490
25001423

prune177.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (- x) (* y z)))
7.2b
(* (- x) (* y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
1×+-commutative neg-mul-1 flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+
Counts
2 → 39
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (- x) (* y z)))
6.0ms
(* (- x) (* y z))

series84.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* x 1.0) (* (- x) (* y z)))
25.0ms
(* (- x) (* y z))

simplify37.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0213217
1998189
25002181

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))
1.5b
(* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
10×cbrt-prod distribute-rgt-in distribute-lft-in
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 associate-*l* *-commutative flip--
Counts
4 → 85
Calls
4 calls:
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))
12.0ms
(* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z)))
15.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (* (cbrt x) (cbrt x)))
253.0ms
(cbrt (cbrt x))
197.0ms
(* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z)))
70.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) (- 1.0 (* y z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04251285
120081011
25003945

prune198.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

84.4% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02910
13710
24110
34110

end0.0ms

sample367.0ms

Algorithm
intervals
Results
184.0ms9586×body80valid