Details

Time bar (total: 4.1s)

sample25.0ms

Algorithm
intervals
Results
15.0ms330×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0275
1785
21795
32775
43755
54885
69775
725115
850025

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×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:
16.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
63.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0387405
12384314
25001313

prune122.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.5b
(/ x (* z z))

rewrite38.0ms

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
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
23.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series109.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify66.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0534730
12689629
25003629

prune241.0ms

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series715.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt x) (cbrt x))
172.0ms
(cbrt x)
175.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune260.0ms

Pruning

12 alts after pruning (12 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))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series888.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
183.0ms
(cbrt x)
245.0ms
(cbrt (cbrt x))
275.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (102.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune222.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes160.0ms

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
01916
11916

end0.0ms

sample720.0ms

Algorithm
intervals
Results
497.0ms10880×body80valid