Details

Time bar (total: 2.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms305×body80valid

simplify11.0ms

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: 3.1b

localize8.0ms

Local error

Found 1 expressions with local error:

3.0b
(* 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)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* x (- 1.0 (* y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune62.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.0b
(* x (- 1.0 (* y z)))
50.5b
(fma (- z) y (* z y))

rewrite10.0ms

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:
8.0ms
(* x (- 1.0 (* y z)))
0.0ms
(fma (- z) y (* z y))

series75.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (- 1.0 (* y z)))
25.0ms
(fma (- z) y (* z y))

simplify72.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune106.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

7 alts after pruning (6 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)))

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))))
5.0ms
(* x (- (* y z)))

series83.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0191224
11076197
25002193

prune105.0ms

Filtered
47 candidates to 38 candidates (80.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
3.4b
(* (cbrt x) (- (* y z)))
4.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite41.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (cbrt x) (- (* y z)))
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series536.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
184.0ms
(cbrt x)
120.0ms
(* (cbrt x) (- (* y z)))
53.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0237512
11261419
25002376

prune246.0ms

Filtered
91 candidates to 71 candidates (78.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

91.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415
13815
24515
34515

end0.0ms

sample366.0ms

Algorithm
intervals
Results
184.0ms9586×body80valid