Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.5b
(/ t (* (* z 3.0) y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
36.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
4.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* (* z 3.0) y))

series145.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
29.0ms
(/ t (* (* z 3.0) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405532
12039469
25001469

prune207.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
29.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series603.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt t)
182.0ms
(cbrt t)
180.0ms
(cbrt t)
56.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0499846
13059651
25002594

prune300.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
13.3b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
26×add-sqr-sqrt
22×associate-*r*
21×times-frac
18×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
13×cbrt-undiv cbrt-prod div-exp
9×cbrt-div
6×pow1
5×associate-*l*
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 98
Calls
4 calls:
26.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
17.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
16.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
19.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
126.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
126.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
124.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05581242
130981034
25002951

prune439.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
13.3b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b
(cbrt (* (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt 1) (* (cbrt y) (cbrt y)))) (/ (cbrt t) (cbrt y))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
26×add-sqr-sqrt
22×associate-*r*
21×times-frac
18×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
13×cbrt-undiv cbrt-prod cbrt-div div-exp
8×frac-times associate-*l/
6×pow1 associate-*r/
5×associate-*l*
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 102
Calls
4 calls:
27.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
18.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
16.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
97.0ms
(cbrt (* (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt 1) (* (cbrt y) (cbrt y)))) (/ (cbrt t) (cbrt y))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
128.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
124.0ms
(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
113.0ms
(cbrt (* (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt 1) (* (cbrt y) (cbrt y)))) (/ (cbrt t) (cbrt y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06431402
133961180
250011095

prune589.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

87.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch89.0ms

Steps
ItersRangePoint
6
5.443262652829599e-10
8.455209092704733e-09
2.7803806663622133e-09
9
-15640006985.087824
-238.82950093874626
-3097409.717549644

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322
14322

end0.0ms

sample625.0ms

Algorithm
intervals
Results
355.0ms11131×body80valid