Details

Time bar (total: 2.9s)

sample14.0ms

Algorithm
intervals
Results
5.0ms293×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

localize7.0ms

Local error

Found 1 expressions with local error:

3.8b
(* 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)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* x (- 1.0 (* y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune54.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 2 expressions with local error:

3.8b
(* x (- 1.0 (* y z)))
50.9b
(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))

series72.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- 1.0 (* y z)))
25.0ms
(fma (- z) y (* z y))

simplify68.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
2.0b
(* (cbrt x) (- 1.0 (* y z)))
2.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
50.9b
(fma (- z) y (* z y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×distribute-rgt-in distribute-lft-in
18×pow1 add-exp-log add-sqr-sqrt prod-diff
14×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
7×cbrt-prod associate-*l*
6×sub-neg associate-*r/
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- unswap-sqr
1×pow1/3 fma-udef
Counts
4 → 105
Calls
4 calls:
0.0ms
(cbrt x)
10.0ms
(* (cbrt x) (- 1.0 (* y z)))
25.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
0.0ms
(fma (- z) y (* z y))

series489.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
219.0ms
(* (cbrt x) (- 1.0 (* y z)))
68.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
28.0ms
(fma (- z) y (* z y))

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04151010
11788745
25001659

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
1.5b
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
2.2b
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))
50.9b
(fma (- z) y (* z y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
85×distribute-rgt-in distribute-lft-in
42×prod-diff
32×pow1 add-exp-log
29×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube
14×sub-neg associate-*l*
13×cbrt-prod
12×associate-*r/
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- *-commutative flip-- unswap-sqr
1×fma-udef
Counts
4 → 165
Calls
4 calls:
11.0ms
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
20.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
57.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))
0.0ms
(fma (- z) y (* z y))

series536.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (cbrt x)) (- 1.0 (* y z)))
176.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
71.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))
25.0ms
(fma (- z) y (* z y))

simplify91.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07062916
127262465
250012453

prune390.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.9b

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.3b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample367.0ms

Algorithm
intervals
Results
183.0ms9611×body80valid