Details

Time bar (total: 5.0s)

sample37.0ms

Algorithm
intervals
Results
16.0ms392×body80valid

simplify57.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.4b
(/ (* a b) 4.0)

rewrite31.0ms

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:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
4.0ms
(/ (* a b) 4.0)

series287.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x y) (/ (* z t) 16.0))
82.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
144.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
20.0ms
(/ (* a b) 4.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0374628
11499597
25001590

prune225.0ms

Filtered
81 candidates to 60 candidates (74.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×sum-log frac-sub
5×*-un-lft-identity flip3-+ flip-+
4×diff-log
3×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
2×+-commutative frac-times sub-neg associate-*r/ associate-*l/ associate--l+
1×associate-+l- flip3-- flip-- distribute-lft-out
Counts
3 → 49
Calls
3 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
7.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0))))
10.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0)))) c)

series762.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (* x y) (/ (* z t) 16.0))
302.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0))))
413.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (* (/ a (sqrt 4.0)) (/ b (sqrt 4.0)))) c)

simplify41.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0333790
11250714
25002667

prune194.0ms

Filtered
58 candidates to 45 candidates (77.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))) c)
0.4b
(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
0.6b
(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
1.0b
(* (cbrt 4.0) (cbrt 4.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
36×add-exp-log *-un-lft-identity
34×cbrt-prod
31×add-cube-cbrt
21×add-cbrt-cube
13×cbrt-undiv div-exp add-log-exp
11×pow1
9×prod-exp cbrt-unprod div-inv
7×associate-/r*
6×pow1/3 swap-sqr associate-*r* associate-*l* associate-/l*
4×sum-log unswap-sqr
3×associate-+l+
2×frac-2neg diff-log pow-prod-down clear-num pow-sqr pow-prod-up distribute-lft-out
1×+-commutative pow2 associate-+l- sub-neg flip3-+ pow-plus associate--l+ *-commutative flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 142
Calls
4 calls:
19.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))) c)
10.0ms
(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
8.0ms
(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
6.0ms
(* (cbrt 4.0) (cbrt 4.0))

series509.0ms

Counts
4 → 10
Calls
4 calls:
268.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))) c)
96.0ms
(/ (/ (* a b) (* (cbrt 4.0) (cbrt 4.0))) (cbrt 4.0))
144.0ms
(/ (* a b) (* (cbrt 4.0) (cbrt 4.0)))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05051376
124971168
250011099

prune469.0ms

Filtered
152 candidates to 98 candidates (64.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (* a b) (* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0))))
1.0b
(cbrt (* (cbrt 4.0) (cbrt 4.0)))
1.0b
(* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0)))
1.0b
(* (cbrt 4.0) (cbrt 4.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
26×cbrt-prod
23×add-sqr-sqrt
18×add-cbrt-cube
16×pow1
15×add-cube-cbrt *-un-lft-identity associate-*r*
13×prod-exp cbrt-unprod
10×pow1/3
7×associate-*l* pow-prod-down
6×cbrt-undiv swap-sqr div-exp
4×add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
10.0ms
(/ (* a b) (* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0))))
4.0ms
(cbrt (* (cbrt 4.0) (cbrt 4.0)))
9.0ms
(* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0)))
6.0ms
(* (cbrt 4.0) (cbrt 4.0))

series144.0ms

Counts
4 → 6
Calls
4 calls:
144.0ms
(/ (* a b) (* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0))))
0.0ms
(cbrt (* (cbrt 4.0) (cbrt 4.0)))
0.0ms
(* (* (cbrt 4.0) (cbrt (* (cbrt 4.0) (cbrt 4.0)))) (cbrt (cbrt 4.0)))
0.0ms
(* (cbrt 4.0) (cbrt 4.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0338913
12272751
25001679

prune354.0ms

Filtered
105 candidates to 63 candidates (60.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes506.0ms

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 (1.0ms)

IterNodesCost
02411
12411

end0.0ms

sample1.0s

Algorithm
intervals
Results
532.0ms12075×body80valid