Details

Time bar (total: 2.9s)

sample25.0ms

Algorithm
intervals
Results
12.0ms327×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (36.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
0.0b
(/ (- x z) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+r+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
6.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
15.0ms
(/ (- x z) y)

series60.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ (- x z) y))))
31.0ms
(/ (- x z) y)

simplify85.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264320
1853293
23894293
35001293

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (+ 0.25 (/ 1 (/ y (- x z))))))
0.0b
(/ y (- x z))
0.5b
(/ 1 (/ y (- x z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
2×rec-exp associate-+r+ frac-2neg 1-exp clear-num
1×+-commutative distribute-rgt-in pow-flip distribute-lft-in flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
6.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ 1 (/ y (- x z))))))
11.0ms
(/ y (- x z))
19.0ms
(/ 1 (/ y (- x z)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ 1.0 (* 4.0 (+ 0.25 (/ 1 (/ y (- x z))))))
35.0ms
(/ y (- x z))
33.0ms
(/ 1 (/ y (- x z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05401189
124101061
25001946

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ x y))
0.0b
(* 4.0 (/ z y))
0.0b
(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 80
Calls
3 calls:
13.0ms
(* 4.0 (/ x y))
14.0ms
(* 4.0 (/ z y))
66.0ms
(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))

series66.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* 4.0 (/ x y))
18.0ms
(* 4.0 (/ z y))
27.0ms
(- (+ (* 4.0 (/ x y)) 2.0) (* 4.0 (/ z y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0419460
11825427
25001421

prune163.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series712.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt z) (cbrt z))
179.0ms
(cbrt z)
175.0ms
(cbrt z)
168.0ms
(cbrt z)

simplify84.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune223.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample597.0ms

Algorithm
intervals
Results
292.0ms10110×body80valid