Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms355×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: 13.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.5b
(/ (* 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))
12.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
65.0ms
(/ (* 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

prune126.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize8.0ms

Local error

Found 2 expressions with local error:

5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.7b
(/ x (* z z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
25.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series78.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify56.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0474544
12399458
25002458

prune173.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

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))))

rewrite46.0ms

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)
40.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
171.0ms
(cbrt x)
170.0ms
(cbrt x)
261.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0537999
12849711
25001607

prune230.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize15.0ms

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

rewrite49.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
43.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series699.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
176.0ms
(cbrt x)
176.0ms
(cbrt x)
163.0ms
(* (/ (cbrt x) (cbrt z)) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06211165
12758964
25001926

prune433.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes150.0ms

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

sample539.0ms

Algorithm
intervals
Results
322.0ms10632×body80valid