Details

Time bar (total: 4.6s)

sample23.0ms

Algorithm
intervals
Results
8.0ms351×body80valid

simplify125.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
5.5b
(* (/ x y) (- z t))

rewrite52.0ms

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:
19.0ms
(+ (* (/ x y) (- z t)) t)
29.0ms
(* (/ x y) (- z t))

series83.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* (/ x y) (- z t)) t)
54.0ms
(* (/ x y) (- z t))

simplify33.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (/ x y) (- z t))
7.1b
(cbrt (* (/ x y) (- z t)))
7.1b
(cbrt (* (/ x y) (- z t)))
7.1b
(cbrt (* (/ x y) (- z t)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*l*
12×add-cube-cbrt
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*r/ flip--
6×pow1
5×associate-*r*
4×associate-*l/ add-log-exp
3×cbrt-prod pow1/3
2×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 84
Calls
4 calls:
29.0ms
(* (/ x y) (- z t))
9.0ms
(cbrt (* (/ x y) (- z t)))
9.0ms
(cbrt (* (/ x y) (- z t)))
9.0ms
(cbrt (* (/ x y) (- z t)))

series374.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (/ x y) (- z t))
109.0ms
(cbrt (* (/ x y) (- z t)))
108.0ms
(cbrt (* (/ x y) (- z t)))
109.0ms
(cbrt (* (/ x y) (- z t)))

simplify36.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0336615
11217560
25002554

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
1.2b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.6b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite266.0ms

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:
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
189.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
59.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series409.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (- z t))
138.0ms
(cbrt (- z t))
46.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
90.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify82.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
08202292
126302077
250012021

prune390.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
7.7b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
7.7b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
7.7b
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
147×cbrt-div
64×frac-times
48×flip3-- associate-*r/ flip--
20×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 → 129
Calls
4 calls:
58.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
46.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
46.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
47.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))
135.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
183.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))
140.0ms
(cbrt (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05191890
115341783
250011717

prune511.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes292.0ms

Accuracy

75% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03626
13626

end0.0ms

sample627.0ms

Algorithm
intervals
Results
256.0ms10779×body80valid