Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms297×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 3.9b

localize5.0ms

Local error

Found 1 expressions with local error:

3.6b
(* 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)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (- 1.0 (* y z)))

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0151195
1598171
22506166
35003160

prune66.0ms

Filtered
35 candidates to 20 candidates (57.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
7.1b
(* 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:
54.0ms
(+ (* x 1.0) (* x (- (* y z))))
28.0ms
(* x (- (* y z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0191224
11076197
25002193

prune116.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

3.6b
(* x (- 1.0 (* y z)))
51.3b
(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))

series77.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* x (- 1.0 (* y z)))
26.0ms
(fma (- z) y (* z y))

simplify78.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0161245
1636214
22643209
35001198

prune116.0ms

Filtered
48 candidates to 31 candidates (64.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.4b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
12.6b
(cbrt (- (* y z)))
12.6b
(cbrt (- (* y z)))
12.6b
(cbrt (- (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×pow1 add-exp-log add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
14.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
96.0ms
(cbrt (- (* y z)))
97.0ms
(cbrt (- (* y z)))
101.0ms
(cbrt (- (* y z)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0250560
1693501
22516460
35001460

prune264.0ms

Filtered
81 candidates to 71 candidates (87.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

93.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415
13815
24515
34515

end0.0ms

sample370.0ms

Algorithm
intervals
Results
187.0ms9637×body80valid