Details

Time bar (total: 4.5s)

sample42.0ms

Algorithm
intervals
Results
24.0ms394×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0185
1255
2275
3275

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
3.0ms
(+ (* x y) (* z t))
15.0ms
(+ (+ (* x y) (* z t)) (* a b))

series93.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* x y) (* z t))
55.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify82.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0187190
1747179
22644177
35001177

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b
(pow (+ (* x y) (* z t)) 3)
33.7b
(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-log-exp
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sum-log sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 70
Calls
4 calls:
3.0ms
(+ (* x y) (* z t))
31.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms
(pow (+ (* x y) (* z t)) 3)
4.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

series253.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x y) (* z t))
53.0ms
(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
129.0ms
(pow (+ (* x y) (* z t)) 3)
35.0ms
(cbrt (pow (+ (* x y) (* z t)) 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0340578
11694519
25001513

prune202.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
0.4b
(* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (+ (* x y) (* z t))))
1.6b
(cbrt (+ (* x y) (* z t)))
26.0b
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
40×flip3-+ flip-+
36×frac-times
20×add-sqr-sqrt
18×associate-*l/
13×pow1 cbrt-prod
12×add-cube-cbrt *-un-lft-identity associate-*r/
9×associate-*r*
8×add-exp-log
7×associate-*l*
6×add-cbrt-cube
5×unswap-sqr
4×pow1/3 add-log-exp
3×swap-sqr pow-prod-down
2×prod-exp *-commutative cbrt-unprod
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow3 pow-sqr pow-prod-up
Counts
4 → 118
Calls
4 calls:
15.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
23.0ms
(* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (+ (* x y) (* z t))))
2.0ms
(cbrt (+ (* x y) (* z t)))
6.0ms
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

series330.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (+ (* x y) (* z t)) (+ (* x y) (* z t)))
39.0ms
(* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (+ (* x y) (* z t))))
108.0ms
(cbrt (+ (* x y) (* z t)))
130.0ms
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

simplify80.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05522128
120952023
250011960

prune452.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b
(cbrt (- (* x y) (* z t)))
11.9b
(/ (* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
26.0b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
26.0b
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-div
32×frac-times
26×associate-/l/
24×flip3-+ flip-+
16×associate-*l/
14×cbrt-prod
12×flip3-- flip--
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/
9×add-exp-log
6×times-frac associate-/r*
5×add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt (- (* x y) (* z t)))
33.0ms
(/ (* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
10.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
6.0ms
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (- (* x y) (* z t)))
177.0ms
(/ (* (cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
115.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
132.0ms
(cbrt (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))

simplify86.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06312229
121882117
250032046

prune564.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165
1165

end0.0ms

sample1.2s

Algorithm
intervals
Results
738.0ms12005×body80valid