Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms316×body80valid

simplify12.0ms

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: 2.4b

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))
4.0b
(* (/ x y) z)

rewrite55.0ms

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)
36.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0399743
11422683
25001668

prune308.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (/ (cbrt x) y) z)
3.1b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
11.0ms
(* (/ (cbrt x) y) z)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series502.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt x)
175.0ms
(cbrt x)
110.0ms
(* (/ (cbrt x) y) z)
47.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0479791
12318609
25002552

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (* (/ (cbrt x) y) z)) (cbrt (* (/ (cbrt x) y) z))) (cbrt (* (/ (cbrt x) y) z))))
9.4b
(cbrt (* (/ (cbrt x) y) z))
9.4b
(cbrt (* (/ (cbrt x) y) z))
9.4b
(cbrt (* (/ (cbrt x) y) z))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
38×associate-*l/
36×prod-exp
27×cbrt-div
22×add-cbrt-cube
21×cbrt-unprod
17×frac-times
13×pow1 associate-*r/
12×div-exp
7×associate-*l*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity 1-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
62.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (* (/ (cbrt x) y) z)) (cbrt (* (/ (cbrt x) y) z))) (cbrt (* (/ (cbrt x) y) z))))
4.0ms
(cbrt (* (/ (cbrt x) y) z))
4.0ms
(cbrt (* (/ (cbrt x) y) z))
4.0ms
(cbrt (* (/ (cbrt x) y) z))

series447.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (* (/ (cbrt x) y) z)) (cbrt (* (/ (cbrt x) y) z))) (cbrt (* (/ (cbrt x) y) z))))
146.0ms
(cbrt (* (/ (cbrt x) y) z))
129.0ms
(cbrt (* (/ (cbrt x) y) z))
130.0ms
(cbrt (* (/ (cbrt x) y) z))

simplify82.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04941566
119921071
25001917

prune417.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ (cbrt x) y) z)
9.4b
(cbrt (* (/ (cbrt x) y) z))
9.4b
(cbrt (* (/ (cbrt x) y) z))
9.4b
(cbrt (* (/ (cbrt x) y) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×associate-*l*
20×times-frac
18×add-cube-cbrt *-un-lft-identity
13×cbrt-prod
9×add-exp-log
8×add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*r* unswap-sqr
2×prod-exp cbrt-unprod
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
11.0ms
(* (/ (cbrt x) y) z)
4.0ms
(cbrt (* (/ (cbrt x) y) z))
4.0ms
(cbrt (* (/ (cbrt x) y) z))
4.0ms
(cbrt (* (/ (cbrt x) y) z))

series483.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (/ (cbrt x) y) z)
127.0ms
(cbrt (* (/ (cbrt x) y) z))
122.0ms
(cbrt (* (/ (cbrt x) y) z))
127.0ms
(cbrt (* (/ (cbrt x) y) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0259518
1825468
23545462
35002462

prune368.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

95.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02419
12419

end0.0ms

sample521.0ms

Algorithm
intervals
Results
293.0ms10086×body80valid