Details

Time bar (total: 7.9s)

sample42.0ms

Algorithm
intervals
Results
23.0ms368×body80valid
1.0ms3×body1280valid
1.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(+ (+ (+ y z) z) y)

rewrite927.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
624.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
13.0ms
(+ (+ y z) z)
229.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
59.0ms
(+ (+ (+ y z) z) y)

series37.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
4.0ms
(+ (+ y z) z)
16.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
5.0ms
(+ (+ (+ y z) z) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0374480
11624434
25003419

prune594.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 2 (+ z y)) t) x)
0.0b
(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
23.0ms
(* (+ (* 2 (+ z y)) t) x)
23.0ms
(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))

series30.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (+ (* 2 (+ z y)) t) x)
19.0ms
(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0231286
1971250
25001246

prune299.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))) (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))))
0.5b
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
0.5b
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
0.5b
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
176.0ms
(* (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))) (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))))
22.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
23.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
24.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))

series350.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))) (cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))))
74.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
74.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
75.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03601870
112811740
250011626

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
0.5b
(cbrt (- (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
4.2b
(- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0)))
29.9b
(cbrt (- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0))))

rewrite385.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 53
Calls
4 calls:
24.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
26.0ms
(cbrt (- (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
167.0ms
(- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0)))
167.0ms
(cbrt (- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(cbrt (+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
74.0ms
(cbrt (- (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0)))
95.0ms
(- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0)))
155.0ms
(cbrt (- (* (* 1 (* (+ (* 2 (+ z y)) t) x)) (* 1 (* (+ (* 2 (+ z y)) t) x))) (* (* y 5.0) (* y 5.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04131240
113861108
250021084

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes525.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0236
1256
2256

end0.0ms

sample1.0s

Algorithm
intervals
Results
690.0ms10815×body80valid
26.0ms88×body1280valid
22.0ms94×body640valid
8.0ms43×body320valid
5.0ms42×body160valid