Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms343×body80valid

simplify113.0ms

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: 16.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* 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
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:
7.0ms
(* (* z z) (+ z 1.0))
10.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
68.0ms
(/ (* 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

prune117.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.3b
(/ 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
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))
13.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
26.0ms
(/ x (* z z))

simplify63.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0534730
12689629
25003629

prune270.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:
15.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series807.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
366.0ms
(cbrt x)
188.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0537999
12839711
25002607

prune244.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log cbrt-prod
40×associate-*l*
36×times-frac
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
31×add-cbrt-cube
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
9×pow1
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 119
Calls
4 calls:
18.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
5.0ms
(cbrt x)

series703.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
180.0ms
(cbrt x)
184.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify67.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06211165
12758964
25001926

prune419.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample530.0ms

Algorithm
intervals
Results
311.0ms10770×body80valid