Details

Time bar (total: 6.2s)

sample61.0ms

Algorithm
intervals
Results
41.0ms347×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: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
5×sum-log
3×associate-+l+
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ diff-log add-cbrt-cube flip-+ distribute-lft-out
1×associate-+l- sub-neg associate--l+ distribute-lft-out--
Counts
2 → 30
Calls
2 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
124.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series203.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x y) (/ (* z t) 16.0))
154.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify85.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0212317
1712289
23226282
35001282

prune110.0ms

Pruning

3 alts after pruning (2 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))))
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite49.0ms

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:
34.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (+ (* x y) (/ (* z t) 16.0))) (cbrt (+ (* x y) (/ (* z t) 16.0))))
135.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
130.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
131.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify103.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
03281262
110701181
240531092
350031082

prune391.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (cbrt (cbrt (+ (* x y) (/ (* z t) 16.0)))) 5)
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))
1.2b
(cbrt (+ (* x y) (/ (* z t) 16.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
9.0ms
(pow (cbrt (cbrt (+ (* x y) (/ (* z t) 16.0)))) 5)
6.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
4.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

series639.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(pow (cbrt (cbrt (+ (* x y) (/ (* z t) 16.0)))) 5)
131.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
131.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))
134.0ms
(cbrt (+ (* x y) (/ (* z t) 16.0)))

simplify94.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0345808
1966750
23331728
35002717

prune378.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
0.3b
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
2.3b
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
27.1b
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log add-cbrt-cube
50×pow1
24×times-frac
23×add-sqr-sqrt prod-exp cbrt-unprod
21×add-cube-cbrt *-un-lft-identity
18×pow-prod-down
13×cbrt-undiv div-exp
8×swap-sqr associate-*r* associate-*l*
6×add-log-exp
5×pow-sqr pow-prod-up div-inv difference-of-squares
4×associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 associate-/r/ *-commutative associate-/l/
1×frac-times sub-neg frac-2neg diff-log div-sub associate-*r/ associate-*l/ clear-num unswap-sqr
Counts
4 → 139
Calls
4 calls:
10.0ms
(* (* x y) (* x y))
15.0ms
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
10.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
37.0ms
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* x y) (* x y))
38.0ms
(* (/ (* z t) 16.0) (/ (* z t) 16.0))
145.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
109.0ms
(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

simplify123.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
06161413
137101153
250011117

prune412.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes455.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s11818×body80valid