Details

Time bar (total: 4.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms357×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series136.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
55.0ms
(- (* x y) (* (* z 9.0) t))
64.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune176.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.7b
(/ (* t z) a)
4.9b
(/ (* x y) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series182.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune269.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(* (cbrt a) (cbrt a))
2.9b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.7b
(/ (* t z) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
32×add-exp-log
31×times-frac
30×cbrt-prod add-cube-cbrt *-un-lft-identity
28×associate-*r*
23×add-cbrt-cube
13×pow1 associate-*l*
10×prod-exp cbrt-unprod unswap-sqr
9×cbrt-undiv div-exp
7×pow1/3
6×swap-sqr
4×add-log-exp
3×pow-prod-down associate-/r* div-inv
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-times frac-2neg pow-plus associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt a)
6.0ms
(* (cbrt a) (cbrt a))
18.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.0ms
(/ (* t z) a)

series454.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt a)
197.0ms
(* (cbrt a) (cbrt a))
53.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
19.0ms
(/ (* t z) a)

simplify87.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0585898
13442718
25001670

prune442.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
1.1b
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
4.7b
(/ (* t z) a)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
90×add-exp-log
85×times-frac
68×cbrt-prod
50×associate-*l*
48×add-cube-cbrt *-un-lft-identity
46×add-cbrt-cube
37×prod-exp cbrt-unprod
28×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×frac-2neg pow1/3 clear-num associate-/l*
Counts
4 → 187
Calls
4 calls:
1.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
27.0ms
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
4.0ms
(/ (* t z) a)

series396.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt a)) (* (/ (cbrt x) (cbrt a)) (/ y (cbrt a))))
169.0ms
(* (/ (cbrt x) (cbrt a)) (/ y (cbrt a)))
20.0ms
(/ (* t z) a)

simplify98.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09161986
140571655
250021525

prune665.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

83.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04527
14527

end0.0ms

sample717.0ms

Algorithm
intervals
Results
369.0ms11105×body80valid