Details

Time bar (total: 7.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.2b
(/ x (/ (* z (- y t)) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
13×add-exp-log add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ prod-exp cbrt-unprod add-log-exp
1×flip3-- frac-2neg pow-prod-down clear-num associate-/r/ *-commutative flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
23.0ms
(* z (- y t))
12.0ms
(/ x (/ (* z (- y t)) 2.0))

series83.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
47.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0353467
11535417
25001414

prune167.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
499×times-frac
374×add-sqr-sqrt
264×*-un-lft-identity
209×associate-*r*
192×add-cube-cbrt
123×cbrt-prod
114×sqrt-prod
73×add-exp-log
51×add-cbrt-cube
36×distribute-lft-out-- difference-of-squares
33×cbrt-undiv div-exp
28×unswap-sqr
27×associate-*l*
21×prod-exp cbrt-unprod
9×div-inv
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 339
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
192.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series744.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
183.0ms
(cbrt x)
176.0ms
(cbrt x)
199.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify78.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017355027
150014746

prune882.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.1b
(* (/ (* (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt (sqrt 2.0)))))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
618×times-frac
410×add-sqr-sqrt
378×*-un-lft-identity
299×associate-*r*
285×sqrt-prod
270×add-cube-cbrt
160×cbrt-prod
112×add-exp-log
86×add-cbrt-cube
54×distribute-lft-out-- difference-of-squares
48×cbrt-undiv div-exp
39×prod-exp cbrt-unprod
27×associate-*l*
9×div-inv unswap-sqr
6×pow1
4×add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 422
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
293.0ms
(* (/ (* (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt (sqrt 2.0)))))

series754.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
187.0ms
(cbrt x)
182.0ms
(cbrt x)
205.0ms
(* (/ (* (* (cbrt x) (cbrt x)) (sqrt (sqrt 2.0))) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt (sqrt 2.0)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
021757729
150027179

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
3.2b
(* (* (* (cbrt 1) (fabs (cbrt 2.0))) (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt (cbrt 2.0)))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
564×times-frac
364×add-sqr-sqrt *-un-lft-identity
299×associate-*r*
256×add-cube-cbrt
246×cbrt-prod
196×add-exp-log
180×sqrt-prod
135×add-cbrt-cube
90×prod-exp cbrt-unprod
69×cbrt-undiv div-exp
54×distribute-lft-out-- difference-of-squares
13×pow1
7×div-inv
6×pow-prod-down
4×add-log-exp
3×pow1/3 associate-*r/
1×frac-times associate-*l* associate-*l/ associate-/r/ *-commutative
Counts
4 → 413
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
213.0ms
(* (* (* (cbrt 1) (fabs (cbrt 2.0))) (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt (cbrt 2.0)))))

series543.0ms

Counts
4 → 8
Calls
4 calls:
185.0ms
(cbrt x)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
357.0ms
(* (* (* (cbrt 1) (fabs (cbrt 2.0))) (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0)))) (/ (cbrt x) (/ (- y t) (sqrt (cbrt 2.0)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
421 → 421
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
024178641
150027832

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

54.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 4.8b

bsearch60.0ms

Steps
ItersRangePoint
8
4.25846252346816e-47
1.4805179354417164e-43
1.460013591902959e-43
6
-30503464133.596928
-3372852908.0666685
-7935255452.700218

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample537.0ms

Algorithm
intervals
Results
243.0ms8747×body80valid