Details

Time bar (total: 3.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms311×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: 4.1b

localize5.0ms

Local error

Found 1 expressions with local error:

3.9b
(* x (- 1.0 (* y z)))

rewrite6.0ms

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:
5.0ms
(* x (- 1.0 (* y z)))

series48.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune111.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.9b

localize10.0ms

Local error

Found 2 expressions with local error:

3.9b
(* x (- 1.0 (* y z)))
50.2b
(fma (- z) y (* z y))

rewrite7.0ms

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:
5.0ms
(* x (- 1.0 (* y z)))
1.0ms
(fma (- z) y (* z y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* 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

prune116.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))
50.2b
(fma (- z) y (* z y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(fma (- z) y (* z y))

series694.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt (- 1.0 (* y z)))
224.0ms
(cbrt (- 1.0 (* y z)))
220.0ms
(cbrt (- 1.0 (* y z)))
25.0ms
(fma (- z) y (* z y))

simplify87.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0220596
1765568
23490562
35001550

prune279.0ms

Filtered
67 candidates to 62 candidates (92.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))
50.2b
(fma (- z) y (* z y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
1.0ms
(fma (- z) y (* z y))

series696.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt (- 1.0 (* y z)))
226.0ms
(cbrt (- 1.0 (* y z)))
220.0ms
(cbrt (- 1.0 (* y z)))
29.0ms
(fma (- z) y (* z y))

simplify88.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0220596
1765568
23490562
35001550

prune310.0ms

Filtered
67 candidates to 62 candidates (92.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.9b

regimes239.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0158
1158

end0.0ms

sample397.0ms

Algorithm
intervals
Results
191.0ms9640×body80valid