Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms311×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune2.0ms

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)))

series49.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune68.0ms

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))

series78.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (- 1.0 (* y z)))
27.0ms
(fma (- z) y (* z y))

simplify71.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune115.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))
4.0b
(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 74
Calls
4 calls:
10.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series816.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
233.0ms
(cbrt (- 1.0 (* y z)))
244.0ms
(cbrt (- 1.0 (* y z)))
241.0ms
(cbrt (- 1.0 (* y z)))

simplify115.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0352870
11111811
24676795
35001783

prune291.0ms

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(cbrt (- 1.0 (* y z)))
238.0ms
(cbrt (- 1.0 (* y z)))
244.0ms
(cbrt (- 1.0 (* y z)))
232.0ms
(cbrt (- 1.0 (* y z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0204728
1709700
23288692
35002676

prune324.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.9b

regimes303.0ms

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 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample381.0ms

Algorithm
intervals
Results
194.0ms9640×body80valid