Details

Time bar (total: 4.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite62.0ms

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
expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
30.0ms
(* (* z z) (+ z 1.0))
30.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
63.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0387405
12384314
25001313

prune105.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 2 expressions with local error:

4.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0b
(/ x (* z z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*l*
pow1 unswap-sqr
div-inv distribute-lft-out associate-/l*
expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
47.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series70.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
20.0ms
(/ x (* z z))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0474544
12399458
25002458

prune153.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series718.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt x) (cbrt x))
176.0ms
(cbrt x)
173.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify272.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune227.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.7b
(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series871.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
172.0ms
(cbrt x)
228.0ms
(cbrt (cbrt x))
294.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify111.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (105.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune233.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02116
12116

end0.0ms

sample607.0ms

Algorithm
intervals
Results
301.0ms10753×body80valid