Details

Time bar (total: 3.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms337×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1765
21685
32645
43545
54425
69125
724305
850015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.4b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
pow1
cbrt-undiv div-exp
*-un-lft-identity
add-sqr-sqrt associate-*r/ associate-*r*
add-cube-cbrt pow-prod-down
flip3-+ associate-/r/ flip-+ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series124.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* z z) (+ z 1.0))
71.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0380385
12326297
25001297

prune104.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.8b
(/ x (* z z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
prod-exp cbrt-unprod
associate-*l* distribute-lft-out
associate-/l*
pow1 associate-/r*
associate-/r/ div-inv unswap-sqr
add-log-exp
frac-2neg flip3-+ clear-num flip-+
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
4.0ms
(/ x (* z z))

series110.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
55.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0523706
12630610
25002610

prune237.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series762.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt x) (cbrt x))
184.0ms
(cbrt x)
180.0ms
(cbrt x)
192.0ms
(cbrt x)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune229.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series924.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
248.0ms
(cbrt (cbrt x))
245.0ms
(cbrt (cbrt x))
247.0ms
(cbrt (cbrt x))

simplify47.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071261
1141243
2357235
31377235
45001235

prune237.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample478.0ms

Algorithm
intervals
Results
276.0ms10701×body80valid