Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms308×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (- 1.0 (* y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune63.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
6.3b
(* x (- (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (- (* y z))))
4.0ms
(* x (- (* y z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* x 1.0) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0191224
11076197
25002193

prune104.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))
49.9b
(fma (- z) y (* z y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
2 → 42
Calls
2 calls:
11.0ms
(* x (- 1.0 (* y z)))
0.0ms
(fma (- z) y (* z y))

series69.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (- 1.0 (* y z)))
25.0ms
(fma (- z) y (* z y))

simplify70.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune100.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
3.4b
(* (cbrt x) (- (* y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 79
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
18.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
6.0ms
(* (cbrt x) (- (* y z)))

series519.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
174.0ms
(cbrt x)
52.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
116.0ms
(* (cbrt x) (- (* y z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0237512
11263419
25002376

prune214.0ms

Filtered
91 candidates to 71 candidates (78.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

91.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03612
14912
25312
35312

end0.0ms

sample381.0ms

Algorithm
intervals
Results
192.0ms9612×body80valid