Details

Time bar (total: 1.8s)

sample13.0ms

Algorithm
intervals
Results
6.0ms335×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

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 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify98.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0151198
1642173
23593170
35001162

prune55.0ms

Filtered
35 candidates to 19 candidates (54.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.1b
(* x (- (* x y)))

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 (- (* x y))))
5.0ms
(* x (- (* x y)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* x 1.0) (* x (- (* x y))))
20.0ms
(* x (- (* x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0191230
11093202
25002198

prune99.0ms

Filtered
47 candidates to 36 candidates (76.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
20.1b
(cbrt (* x (- (* x y))))
20.1b
(cbrt (* x (- (* x y))))
20.1b
(cbrt (* x (- (* x y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
2.0ms
(cbrt (* x (- (* x y))))
2.0ms
(cbrt (* x (- (* x y))))
2.0ms
(cbrt (* x (- (* x y))))

series419.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
96.0ms
(cbrt (* x (- (* x y))))
95.0ms
(cbrt (* x (- (* x y))))
96.0ms
(cbrt (* x (- (* x y))))

simplify98.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0220569
1730497
23381434
35001428

prune225.0ms

Filtered
78 candidates to 64 candidates (82.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (- x)) y))
11.6b
(* (* x (- x)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 37
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x (- x)) y))
9.0ms
(* (* x (- x)) y)

series63.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x 1.0) (* (* x (- x)) y))
21.0ms
(* (* x (- x)) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0210222
11007194
25001184

prune75.0ms

Filtered
43 candidates to 30 candidates (69.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185
1235
2245
3245

end0.0ms

sample350.0ms

Algorithm
intervals
Results
190.0ms10741×body80valid