Details

Time bar (total: 4.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms305×body80valid

simplify156.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (55.0ms)

IterNodesCost
0144
1344
2924
32324
44914
57854
611154
714824
822183
933493
1048193
1150013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.8b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt associate-*l*
6×pow1 add-exp-log associate-*r* prod-diff add-cbrt-cube
5×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
10.0ms
(* (- 1.0 y) z)
8.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- 1.0 y) z)
54.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0244345
11005301
25001292

prune134.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.5b
(* (* x z) (- y 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
29×add-sqr-sqrt *-un-lft-identity
27×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×sub-neg add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u associate-*r/ log1p-expm1-u
1×+-commutative flip3-- fma-def flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 82
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
14.0ms
(* (* x z) (- y 1.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
51.0ms
(* (* x z) (- y 1.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0448736
11854512
25001506

prune191.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.5b
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

series756.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
192.0ms
(cbrt y)
191.0ms
(cbrt y)
176.0ms
(* (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1))) (* x z))

simplify90.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0157389
1555314
22730284
35002250

prune324.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* x z) (- y 1.0))
7.5b
(cbrt (* (* x z) (- y 1.0)))
7.5b
(cbrt (* (* x z) (- y 1.0)))
7.5b
(cbrt (* (* x z) (- y 1.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
6×cbrt-div
5×associate-*r*
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls
4 calls:
17.0ms
(* (* x z) (- y 1.0))
7.0ms
(cbrt (* (* x z) (- y 1.0)))
7.0ms
(cbrt (* (* x z) (- y 1.0)))
7.0ms
(cbrt (* (* x z) (- y 1.0)))

series712.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (* x z) (- y 1.0))
216.0ms
(cbrt (* (* x z) (- y 1.0)))
219.0ms
(cbrt (* (* x z) (- y 1.0)))
219.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04911055
11922856
25001844

prune301.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes412.0ms

Accuracy

85.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch100.0ms

Steps
ItersRangePoint
8
1.9056207645202632e-95
8.135322162053684e-93
2.4128437830003077e-93
9
-2.485505406935257e+79
-2.1235814087935193e+73
-2.3742132532055243e+73

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03823
13823

end0.0ms

sample442.0ms

Algorithm
intervals
Results
237.0ms10079×body80valid