Details

Time bar (total: 2.9s)

sample37.0ms

Algorithm
intervals
Results
21.0ms314×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1243
2523
3883
41023
51023

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 1 expressions with local error:

2.2b
(* x (- 1.0 (* y z)))

rewrite15.0ms

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:
13.0ms
(* x (- 1.0 (* y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (- 1.0 (* y z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune72.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize12.0ms

Local error

Found 2 expressions with local error:

2.2b
(* x (- 1.0 (* y z)))
54.8b
(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))

series84.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (- 1.0 (* y z)))
29.0ms
(fma (- z) y (* z y))

simplify85.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
18×prod-diff
16×add-cube-cbrt *-un-lft-identity
15×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
6×sub-neg
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 109
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* y z))))
8.0ms
(* x (- 1.0 (* y z)))
11.0ms
(* x (- 1.0 (* y z)))
8.0ms
(* x (- 1.0 (* y z)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (* x (- 1.0 (* y z))))
50.0ms
(* x (- 1.0 (* y z)))
54.0ms
(* x (- 1.0 (* y z)))
51.0ms
(* x (- 1.0 (* y z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0252705
1885621
23636605
35002602

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (- 1.0 (* y z))) (fma y z 1.0))
2.2b
(* x (- 1.0 (* y z)))
11.2b
(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
54.8b
(fma (- z) y (* z y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×distribute-rgt-in distribute-lft-in associate-*r/ associate-*r* prod-diff
4×expm1-log1p-u associate-*l* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp associate-/r* flip-- fma-udef
2×sub-neg associate-/r/ *-commutative associate-/l/
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (* x (- 1.0 (* y z))) (fma y z 1.0))
8.0ms
(* x (- 1.0 (* y z)))
17.0ms
(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
0.0ms
(fma (- z) y (* z y))

series310.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (* x (- 1.0 (* y z))) (fma y z 1.0))
55.0ms
(* x (- 1.0 (* y z)))
108.0ms
(/ (* (* x (- 1.0 (* y z))) (fma y z 1.0)) (+ 1.0 (* y z)))
29.0ms
(fma (- z) y (* z y))

simplify82.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0402776
12503535
25001535

prune304.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.2b

regimes238.0ms

Accuracy

0% (0.1b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample617.0ms

Algorithm
intervals
Results
408.0ms9647×body80valid