Details

Time bar (total: 3.1s)

sample25.0ms

Algorithm
intervals
Results
14.0ms333×body80valid

simplify169.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 8 (60.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.5b
(* 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)
9.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- 1.0 y) z)
52.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0244345
11005301
25001292

prune131.0ms

Pruning

6 alts after pruning (5 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)))
3.5b
(* (* x z) (- y 1.0))

rewrite25.0ms

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))

series132.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
58.0ms
(* (* x z) (- y 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0448736
11854512
25001506

prune189.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
0.0b
(+ (* x (* z y)) (* (* x z) (- 1.0)))
5.6b
(* x (* z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sum-log distribute-rgt-neg-out
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+r- fma-def flip3-+ unsub-neg flip-+
1×associate-+r+ associate-*r* *-commutative
Counts
3 → 54
Calls
3 calls:
15.0ms
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
6.0ms
(+ (* x (* z y)) (* (* x z) (- 1.0)))
6.0ms
(* x (* z y))

series183.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (* x 1.0) (+ (* x (* z y)) (* (* x z) (- 1.0))))
80.0ms
(+ (* x (* z y)) (* (* x z) (- 1.0)))
35.0ms
(* x (* z y))

simplify59.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0294398
11302351
25001321

prune181.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.6b
(* x (* z y))
7.9b
(cbrt (* x (* z y)))
7.9b
(cbrt (* x (* z y)))
7.9b
(cbrt (* x (* z y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
6.0ms
(* x (* z y))
4.0ms
(cbrt (* x (* z y)))
4.0ms
(cbrt (* x (* z y)))
5.0ms
(cbrt (* x (* z y)))

series349.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x (* z y))
106.0ms
(cbrt (* x (* z y)))
106.0ms
(cbrt (* x (* z y)))
109.0ms
(cbrt (* x (* z y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0180315
1556279
22054255
35002233

prune229.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch77.0ms

Steps
ItersRangePoint
6
9.50952901782843e-47
8.015855564889444e-46
6.423048079579083e-46
6
-1.3069732955539597e-98
-2.1406595402918845e-99
-1.2920222538330339e-98

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03513
13913
24613
34613

end0.0ms

sample666.0ms

Algorithm
intervals
Results
455.0ms10175×body80valid