Details

Time bar (total: 5.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
39.0ms
(* (- y z) (- y t))
17.0ms
(/ x (* (- y z) (- y t)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- y t))
63.0ms
(/ x (* (- y z) (- y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534

prune180.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(/ (* (- y z) (- y t)) (cbrt x))
3.4b
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×times-frac
18×cbrt-prod add-cbrt-cube
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-/r*
12×cbrt-undiv div-exp
8×associate-/l/
6×flip3-- prod-exp flip-- cbrt-unprod
4×pow1 expm1-log1p-u frac-times log1p-expm1-u div-inv add-log-exp
2×frac-2neg pow1/3 associate-*r/ associate-*l/ clear-num associate-/l*
1×associate-/r/
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(/ (* (- y z) (- y t)) (cbrt x))
23.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt x)
172.0ms
(cbrt x)
137.0ms
(/ (* (- y z) (- y t)) (cbrt x))
85.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0535938
12770779
25001742

prune346.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ x (* (- y z) (- y t)))
23.4b
(cbrt (/ x (* (- y z) (- y t))))
23.4b
(cbrt (/ x (* (- y z) (- y t))))
23.4b
(cbrt (/ x (* (- y z) (- y t))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
32×associate-/r/
24×flip3-- flip--
16×frac-times
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
8×associate-*r/ associate-*l/
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 109
Calls
4 calls:
16.0ms
(/ x (* (- y z) (- y t)))
13.0ms
(cbrt (/ x (* (- y z) (- y t))))
13.0ms
(cbrt (/ x (* (- y z) (- y t))))
17.0ms
(cbrt (/ x (* (- y z) (- y t))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ x (* (- y z) (- y t)))
175.0ms
(cbrt (/ x (* (- y z) (- y t))))
177.0ms
(cbrt (/ x (* (- y z) (- y t))))
185.0ms
(cbrt (/ x (* (- y z) (- y t))))

simplify39.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
03341041
11113981
25002975

prune470.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.4b
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
2.1b
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
3.4b
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
147×cbrt-prod
90×add-exp-log
83×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
59×associate-/r*
47×add-cbrt-cube
43×cbrt-undiv div-exp
33×div-inv
22×prod-exp cbrt-unprod
9×associate-/l/
7×associate-/l*
6×flip3-- flip--
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-*r/ associate-*l/
1×pow1/3 associate-/r/
Counts
4 → 262
Calls
4 calls:
1.0ms
(cbrt x)
32.0ms
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
36.0ms
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
42.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
138.0ms
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
329.0ms
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
86.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

simplify66.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012215036
150014261

prune928.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample489.0ms

Algorithm
intervals
Results
218.0ms8470×body80valid