Details

Time bar (total: 4.2s)

sample31.0ms

Algorithm
intervals
Results
21.0ms346×body80valid

simplify111.0ms

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: 17.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite27.0ms

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:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0387405
12384314
25001313

prune120.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 10.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.3b
(/ 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)))
3.0ms
(/ x (* z z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune252.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
35.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series611.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
180.0ms
(cbrt x)
173.0ms
(cbrt x)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0537999
12849711
25001607

prune238.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
22.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
22.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
22.6b
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
21×cbrt-div
20×frac-times associate-*r/
12×associate-*l/
9×pow1
7×associate-*l*
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod times-frac pow1/3 pow-prod-down
1×associate-*r* *-commutative div-inv
Counts
4 → 111
Calls
4 calls:
35.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
32.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
30.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
30.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
191.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
190.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))
198.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06701962
131621583
250011467

prune385.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
11935

end0.0ms

sample817.0ms

Algorithm
intervals
Results
597.0ms10782×body80valid