Details

Time bar (total: 5.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms381×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0328
1698
21348
32258
43788
55988
68158
710358
811438
912118
1012118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* a b) 4.0)
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b
(/ (* z t) 16.0)

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×times-frac associate-/r*
5×sum-log
4×pow1 cbrt-undiv div-exp
3×associate-+l+
2×+-commutative frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
1×associate-+l- sub-neg associate--l+ distribute-lft-out--
Counts
4 → 72
Calls
4 calls:
3.0ms
(/ (* a b) 4.0)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
127.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
3.0ms
(/ (* z t) 16.0)

series247.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* a b) 4.0)
46.0ms
(+ (* x y) (/ (* z t) 16.0))
157.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
19.0ms
(/ (* z t) 16.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0404482
11673429
25001429

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
0.0b
(/ (* a b) 4.0)
0.0b
(+ (* x y) (* z (/ t 16.0)))
0.0b
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
16.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
3.0ms
(/ (* a b) 4.0)
5.0ms
(+ (* x y) (* z (/ t 16.0)))
63.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

series322.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
21.0ms
(/ (* a b) 4.0)
51.0ms
(+ (* x y) (* z (/ t 16.0)))
156.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)

simplify49.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0380628
11550597
25001590

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
2.5b
(cbrt (+ (* x y) (* z (/ t 16.0))))
2.5b
(cbrt (+ (* x y) (* z (/ t 16.0))))
2.5b
(cbrt (+ (* x y) (* z (/ t 16.0))))

rewrite27.0ms

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:
18.0ms
(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
2.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))
2.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))
2.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
136.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))
134.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))
139.0ms
(cbrt (+ (* x y) (* z (/ t 16.0))))

simplify106.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
03311262
111101181
242131092
350021082

prune414.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
0.6b
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
0.6b
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
0.6b
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
23×add-sqr-sqrt
22×distribute-lft-out
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1 distribute-lft-out--
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
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 → 105
Calls
4 calls:
38.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
39.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
40.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
317.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

series638.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
126.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
121.0ms
(cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c))
268.0ms
(* (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)) (cbrt (+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)))

simplify130.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
02772258
19362121
242521863
350011849

prune378.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes323.0ms

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
0228
1228

end0.0ms

sample987.0ms

Algorithm
intervals
Results
510.0ms11802×body80valid