Details

Time bar (total: 4.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify115.0ms

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: 16.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.4b
(/ (* 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)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (* z z) (+ z 1.0))
67.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0387405
12384314
25001313

prune113.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.2b
(/ x (* z z))
7.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))

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))
3.0ms
(/ x (* z z))
25.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ z 1.0))
24.0ms
(/ x (* z z))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0534730
12689629
25001629

prune264.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
85×add-exp-log
67×add-cbrt-cube
48×add-sqr-sqrt
40×times-frac
36×prod-exp cbrt-unprod
35×*-un-lft-identity
29×add-cube-cbrt associate-*l*
26×cbrt-undiv div-exp
19×associate-*r*
17×cbrt-prod
11×pow1
6×frac-times associate-*r/ unswap-sqr
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv distribute-lft-out
2×pow1/3 associate-/r/ *-commutative
1×flip3-+ flip-+
Counts
4 → 151
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
37.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
177.0ms
(cbrt x)
116.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
75.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify102.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
08641521
144501182
250011148

prune441.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 107
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series659.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
178.0ms
(cbrt x)
175.0ms
(cbrt x)
124.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0527694
12318631
25001622

prune398.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes268.0ms

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
02324
12324

end0.0ms

sample524.0ms

Algorithm
intervals
Results
297.0ms10714×body80valid