Details

Time bar (total: 6.2s)

sample48.0ms

Algorithm
intervals
Results
29.0ms359×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.8b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(* (* z 9.0) t)
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series41.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x y) (* (* z 9.0) t))
6.0ms
(* (* z 9.0) t)
22.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune501.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* 9.0 (* t z)))
0.3b
(* 9.0 (* t z))
6.8b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x y) (* 9.0 (* t z)))
6.0ms
(* 9.0 (* t z))
8.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series39.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x y) (* 9.0 (* t z)))
4.0ms
(* 9.0 (* t z))
21.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0311398
11209340
25001340

prune466.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.2b
(/ (* t z) a)
5.0b
(/ (* x y) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* t z) a)
3.0ms
(/ (* x y) a)

series47.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
7.0ms
(/ (* x y) a)

simplify62.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0381486
11921419
25001419

prune696.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.6b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.0b
(/ (* x y) a)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×prod-exp cbrt-unprod
15×cbrt-prod
10×cbrt-undiv div-exp
9×pow1
4×add-log-exp
3×associate-*r/ pow-prod-down associate-/r*
2×pow1/3 div-inv
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 95
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
42.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
3.0ms
(/ (* x y) a)

series36.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(cbrt a)
10.0ms
(cbrt a)
11.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
6.0ms
(/ (* x y) a)

simplify92.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
0541758
13024564
25002539

prune897.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

38.7% (4.6b remaining)

Error of 4.8b against oracle of 0.2b and baseline of 7.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05536
15536

end0.0ms

sample1.2s

Algorithm
intervals
Results
870.0ms11330×body80valid