Details

Time bar (total: 4.6s)

sample33.0ms

Algorithm
intervals
Results
23.0ms323×body80valid

simplify117.0ms

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: 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)))

rewrite31.0ms

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:
18.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (* z z) (+ z 1.0))
71.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0387405
12384314
25001313

prune119.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.6b
(/ x (* z z))

rewrite36.0ms

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))
24.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify67.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0534730
12689629
25003629

prune260.0ms

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)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite44.0ms

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)
1.0ms
(cbrt x)
39.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series650.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt x)
192.0ms
(cbrt x)
183.0ms
(cbrt x)
79.0ms
(* (/ (* (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

prune394.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
86×add-cbrt-cube
52×prod-exp cbrt-unprod
35×cbrt-undiv div-exp
13×cbrt-prod
9×pow1 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 → 109
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
58.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

series792.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
249.0ms
(cbrt (cbrt x))
285.0ms
(cbrt (* (cbrt x) (cbrt x)))
78.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))) z) (/ y (+ z 1.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07271894
139711300
250031185

prune299.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
11935

end0.0ms

sample1.0s

Algorithm
intervals
Results
776.0ms10750×body80valid