Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms316×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

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)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
30.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(* (/ x y) z)

series97.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (+ x 4.0) y)
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
22.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite44.0ms

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×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(* (/ (cbrt x) y) z)
24.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series525.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
185.0ms
(cbrt x)
115.0ms
(* (/ (cbrt x) y) z)
46.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0473757
12306591
25001518

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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×add-log-exp
3×cbrt-prod times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
64.0ms
(* (/ (* (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))

series442.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (* (/ (cbrt x) y) z)) (cbrt (* (/ (cbrt x) y) z))) (cbrt (* (/ (cbrt x) y) z))))
130.0ms
(cbrt (* (/ (cbrt x) y) z))
129.0ms
(cbrt (* (/ (cbrt x) y) z))
132.0ms
(cbrt (* (/ (cbrt x) y) z))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04901496
119811001
25001863

prune267.0ms

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×associate-*l/ 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 → 72
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))

series510.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (/ (cbrt x) y) z)
132.0ms
(cbrt (* (/ (cbrt x) y) z))
128.0ms
(cbrt (* (/ (cbrt x) y) z))
137.0ms
(cbrt (* (/ (cbrt x) y) z))

simplify85.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0255480
1821430
23529424
35003424

prune460.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes171.0ms

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

sample500.0ms

Algorithm
intervals
Results
301.0ms10086×body80valid