Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms324×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
95.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series86.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0346447
11353419
25001417

prune178.0ms

Filtered
75 candidates to 53 candidates (70.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
2.0b
(* x (- (/ t (- 1.0 z))))
5.1b
(* x (/ y z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
37.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series182.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
67.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
61.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0674871
13174809
25001808

prune417.0ms

Filtered
159 candidates to 119 candidates (74.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.0b
(* x (- (/ t (- 1.0 z))))
2.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×associate-/r/ div-inv add-log-exp
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 144
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
37.0ms
(* x (- (/ t (- 1.0 z))))
24.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt z)
183.0ms
(cbrt z)
57.0ms
(* x (- (/ t (- 1.0 z))))
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify94.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07501045
13962884
25001840

prune461.0ms

Filtered
156 candidates to 119 candidates (76.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (- (/ t (- 1.0 z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r*
44×add-sqr-sqrt
42×*-un-lft-identity
39×times-frac
30×add-cube-cbrt
21×cbrt-prod distribute-lft-neg-in distribute-rgt-neg-in
6×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
5×div-inv
4×associate-/r/ add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×flip3-- flip--
1×neg-mul-1 associate-*r/ pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod distribute-neg-frac unswap-sqr
Counts
4 → 111
Calls
4 calls:
34.0ms
(* x (- (/ t (- 1.0 z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* x (- (/ t (- 1.0 z))))
142.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
150.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
146.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0413820
11838762
25002756

prune453.0ms

Filtered
123 candidates to 101 candidates (82.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes244.0ms

Accuracy

62.7% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 4.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05031
16131
26331
36331

end0.0ms

sample559.0ms

Algorithm
intervals
Results
311.0ms10104×body80valid