Details

Time bar (total: 8.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms330×body80valid

simplify130.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
7.2b
(* (/ x y) (- z t))

rewrite35.0ms

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:
13.0ms
(+ (* (/ x y) (- z t)) t)
19.0ms
(* (/ x y) (- z t))

series93.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (/ x y) (- z t)) t)
59.0ms
(* (/ x y) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0314342
11191302
25002302

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.9b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
6.5b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
21.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
18.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (- z t))
143.0ms
(cbrt (- z t))
53.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
97.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify78.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
08202292
126302077
250012021

prune400.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.9b
(* (* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))))) (cbrt (- z t)))
6.5b
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t))))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
3064×cbrt-div
1730×frac-times
1028×flip3-- flip--
722×associate-*r/
517×associate-*l/
54×add-exp-log
31×prod-exp add-cbrt-cube cbrt-unprod
27×pow1
21×add-sqr-sqrt *-un-lft-identity
16×pow-prod-down
15×cbrt-prod add-cube-cbrt
14×associate-*l*
9×times-frac associate-*r*
6×cbrt-undiv div-exp
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 748
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
54.0ms
(* (* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))))) (cbrt (- z t)))
30.0ms
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t))))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))
49.0ms
(* (* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t)))))) (cbrt (- z t)))
99.0ms
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (cbrt (- z t))))))

simplify267.0ms

Algorithm
egg-herbie
Counts
760 → 760
Iterations

Useful iterations: 1 (56.0ms)

IterNodesCost
0402724212
1500123987

prune3.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
8.7b
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
8.7b
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
8.7b
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
507×cbrt-div
262×frac-times
174×flip3-- flip--
126×associate-*r/
101×associate-*l/
16×add-exp-log
14×add-sqr-sqrt
13×associate-*l*
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
10×times-frac
9×pow1
6×prod-exp cbrt-unprod
4×add-log-exp
3×cbrt-prod pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* *-commutative div-inv
Counts
4 → 237
Calls
4 calls:
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
21.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
24.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
21.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))

series457.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
118.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
118.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))
125.0ms
(cbrt (* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t))))

simplify94.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
08045067
120924945
250024840

prune740.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample538.0ms

Algorithm
intervals
Results
278.0ms10699×body80valid