Details

Time bar (total: 11.3s)

sample57.0ms

Algorithm
intervals
Results
37.0ms374×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
3.0ms
(/ (* z t) 16.0)
4.0ms
(+ (* x y) (/ (* z t) 16.0))
34.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series142.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ (* z t) 16.0)
43.0ms
(+ (* x y) (/ (* z t) 16.0))
83.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0303419
11236392
25001385

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ z (/ 16.0 t)))
0.0b
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
0.3b
(/ z (/ 16.0 t))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
47×add-sqr-sqrt *-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-exp-log add-cbrt-cube
5×div-inv
3×pow1 cbrt-undiv div-exp associate-/l*
2×flip3-+ diff-log sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r/ flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
14.0ms
(+ (* x y) (/ z (/ 16.0 t)))
141.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
5.0ms
(/ z (/ 16.0 t))

series146.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x y) (/ z (/ 16.0 t)))
85.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
17.0ms
(/ z (/ 16.0 t))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0516786
12027754
25002746

prune370.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (* z t) 16.0)) (cbrt (/ (* z t) 16.0)))
6.6b
(cbrt (/ (* z t) 16.0))
6.6b
(cbrt (/ (* z t) 16.0))
6.6b
(cbrt (/ (* z t) 16.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
30×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×times-frac
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
11.0ms
(* (cbrt (/ (* z t) 16.0)) (cbrt (/ (* z t) 16.0)))
2.0ms
(cbrt (/ (* z t) 16.0))
2.0ms
(cbrt (/ (* z t) 16.0))
2.0ms
(cbrt (/ (* z t) 16.0))

series427.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (/ (* z t) 16.0)) (cbrt (/ (* z t) 16.0)))
97.0ms
(cbrt (/ (* z t) 16.0))
98.0ms
(cbrt (/ (* z t) 16.0))
97.0ms
(cbrt (/ (* z t) 16.0))

simplify122.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0253843
1865792
24388717
35001705

prune476.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
1.2b
(+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
4.3b
(- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3))
42.4b
(/ (- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
126×frac-add
88×*-un-lft-identity
84×frac-times
81×flip3-+ flip-+
80×difference-of-squares
75×times-frac
60×unpow-prod-down cube-prod
56×associate-*r/
44×associate-/r/
42×associate-*l/
40×sqr-pow
36×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×add-exp-log cube-div add-cbrt-cube add-log-exp
6×pow1
5×difference-cubes
4×associate-*r* frac-sub associate-/l/
3×associate-*l* associate-/r*
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv distribute-lft-out unswap-sqr
Counts
4 → 290
Calls
4 calls:
83.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
31.0ms
(+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
83.0ms
(- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3))
220.0ms
(/ (- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

series5.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
804.0ms
(+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
3.5s
(- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3))
454.0ms
(/ (- (pow (+ (* x y) (/ (* z t) 16.0)) 3) (pow (/ (* a b) 4.0) 3)) (+ (* (+ (* x y) (/ (* z t) 16.0)) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))))

simplify141.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0164012947
1500212748

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s11990×body80valid