Details

Time bar (total: 5.7s)

sample31.0ms

Algorithm
intervals
Results
20.0ms323×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.4b
(* (/ x y) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
34.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series98.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
48.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune301.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
2.1b
(* (/ x (cbrt y)) z)
4.6b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
47×prod-exp
45×add-sqr-sqrt
35×associate-*l* add-cbrt-cube
29×cbrt-prod add-cube-cbrt *-un-lft-identity
23×times-frac
21×cbrt-unprod
20×div-exp
18×pow1
10×cbrt-undiv associate-*r*
7×pow1/3 unswap-sqr
6×rec-exp 1-exp swap-sqr pow-prod-down
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt y)
6.0ms
(* (cbrt y) (cbrt y))
11.0ms
(* (/ x (cbrt y)) z)
39.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series542.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
197.0ms
(* (cbrt y) (cbrt y))
119.0ms
(* (/ x (cbrt y)) z)
48.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify81.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05481013
12781770
25003703

prune426.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.5b
(cbrt (/ x (cbrt y)))
3.5b
(cbrt (/ x (cbrt y)))
3.5b
(cbrt (/ x (cbrt y)))
4.6b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y)))) (* (cbrt (/ x (cbrt y))) z)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
155×add-exp-log
106×prod-exp
93×cbrt-prod
57×times-frac
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
44×cbrt-unprod
27×cbrt-div
22×pow1
20×div-exp
19×associate-*l/
17×frac-times
13×associate-*r/ pow-prod-down
10×cbrt-undiv rec-exp 1-exp
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 187
Calls
4 calls:
2.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x (cbrt y)))
159.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y)))) (* (cbrt (/ x (cbrt y))) z)))

series529.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (/ x (cbrt y)))
168.0ms
(cbrt (/ x (cbrt y)))
164.0ms
(cbrt (/ x (cbrt y)))
28.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ x (cbrt y))) (cbrt (/ x (cbrt y)))) (* (cbrt (/ x (cbrt y))) z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07102633
133871961
250011696

prune598.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.8b
(pow (cbrt (cbrt y)) 4)
2.1b
(* (/ x (cbrt y)) z)
4.6b
(* (/ 1 (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow (cbrt (cbrt y)) 4))) (* (/ x (cbrt y)) z))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
292×add-exp-log
193×prod-exp
65×div-exp
52×add-cbrt-cube
34×add-sqr-sqrt
31×cbrt-unprod
29×associate-*l*
28×cbrt-prod
26×add-cube-cbrt *-un-lft-identity
23×times-frac
21×rec-exp 1-exp
19×pow-to-exp pow-exp
14×cbrt-undiv
12×pow1
9×unpow-prod-down
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×pow-unpow unswap-sqr
2×pow-pow pow1/3 *-commutative div-inv
1×frac-times associate-*r/ sqr-pow
Counts
4 → 187
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
3.0ms
(pow (cbrt (cbrt y)) 4)
13.0ms
(* (/ x (cbrt y)) z)
141.0ms
(* (/ 1 (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow (cbrt (cbrt y)) 4))) (* (/ x (cbrt y)) z))

series730.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(cbrt (cbrt y))
310.0ms
(pow (cbrt (cbrt y)) 4)
122.0ms
(* (/ x (cbrt y)) z)
48.0ms
(* (/ 1 (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (pow (cbrt (cbrt y)) 4))) (* (/ x (cbrt y)) z))

simplify82.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07992204
133891470
250031395

prune625.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

49.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.4b

bsearch47.0ms

Steps
ItersRangePoint
7
-3.1537239106396485e-10
-2.7600907484982647e-12
-3.3916410002936928e-12

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02818
12818

end0.0ms

sample834.0ms

Algorithm
intervals
Results
619.0ms10125×body80valid