Details

Time bar (total: 3.8s)

sample33.0ms

Algorithm
intervals
Results
15.0ms343×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1017524
1130214
1245414
1350014

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.7b
(* (/ x y) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
8.0ms
(* (/ x y) (- z t))

series82.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* (/ x y) (- z t)) t)
51.0ms
(* (/ x y) (- z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune125.0ms

Filtered
63 candidates to 43 candidates (68.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
16.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series230.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
58.0ms
(cbrt (/ x y))
61.0ms
(cbrt (/ x y))
59.0ms
(cbrt (/ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04781197
115531009
25001890

prune333.0ms

Filtered
131 candidates to 90 candidates (68.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
1.8b
(cbrt (/ x (cbrt y)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
99×cbrt-div
81×frac-times
57×cbrt-prod
45×associate-*l/
39×associate-*r/
36×times-frac
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
25×pow1 add-exp-log
16×flip3-- flip--
15×pow-prod-down prod-exp cbrt-unprod
14×add-cbrt-cube
8×distribute-rgt-in distribute-lft-in
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 158
Calls
4 calls:
21.0ms
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
3.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series322.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y)))) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
152.0ms
(cbrt (/ x (cbrt y)))
59.0ms
(cbrt (/ x y))
62.0ms
(cbrt (/ x y))

simplify104.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09072447
140842216
250012205

prune605.0ms

Filtered
170 candidates to 124 candidates (72.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.9b
(* (* (/ (cbrt x) (cbrt y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
11.1b
(cbrt (/ x y))
11.1b
(cbrt (/ x y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod frac-times
26×cbrt-div
25×add-exp-log
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/
18×times-frac
16×pow1
14×add-cbrt-cube
13×associate-*l/ prod-exp cbrt-unprod
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down flip--
4×sub-neg add-log-exp
3×pow1/3
2×cbrt-undiv div-exp div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt x)
17.0ms
(* (* (/ (cbrt x) (cbrt y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series341.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt x)
55.0ms
(* (* (/ (cbrt x) (cbrt y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
56.0ms
(cbrt (/ x y))
61.0ms
(cbrt (/ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05561219
123081051
250031018

prune348.0ms

Filtered
124 candidates to 85 candidates (68.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes247.0ms

Accuracy

33.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample566.0ms

Algorithm
intervals
Results
287.0ms10649×body80valid