Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms316×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (77.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- 1 y) (/ x z) y)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma (- 1 y) (/ x z) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- 1 y) (/ x z)) y)
3.5b
(* (- 1 y) (/ x z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 55
Calls
2 calls:
9.0ms
(+ (* (- 1 y) (/ x z)) y)
15.0ms
(* (- 1 y) (/ x z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* (- 1 y) (/ x z)) y)
33.0ms
(* (- 1 y) (/ x z))

simplify56.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0306322
11459297
25001287

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
15×add-sqr-sqrt
14×add-cbrt-cube
12×*-un-lft-identity
9×cbrt-prod add-cube-cbrt prod-exp cbrt-unprod
6×pow1 associate-*l*
5×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow1/3
2×frac-times flip3-- times-frac associate-*l/ flip-- difference-of-squares unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv distribute-lft-out--
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

series720.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt x)
193.0ms
(cbrt x)
200.0ms
(cbrt x)
131.0ms
(* (- 1 y) (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0392651
11809527
25001483

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
10.9b
(/ (+ x (* y (- z x))) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×sub-neg
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
6.0ms
(+ x (* y (- z x)))
8.0ms
(* y (- z x))
6.0ms
(/ (+ x (* y (- z x))) z)

series132.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (* y (- z x)))
39.0ms
(* y (- z x))
55.0ms
(/ (+ x (* y (- z x))) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0379842
11526592
25002585

prune255.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
193

end0.0ms

sample487.0ms

Algorithm
intervals
Results
263.0ms10178×body80valid