Details

Time bar (total: 6.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
7.0b
(/ x (/ (* z (- y t)) 2.0))

rewrite40.0ms

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:
21.0ms
(* z (- y t))
15.0ms
(/ x (/ (* z (- y t)) 2.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
39.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0353467
11535417
25001414

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
536×times-frac
421×add-sqr-sqrt
259×*-un-lft-identity
225×cbrt-prod
223×add-cube-cbrt
137×associate-*l*
119×associate-*r*
40×add-exp-log
35×unswap-sqr
25×add-cbrt-cube
18×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
14×div-inv
9×prod-exp cbrt-unprod
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 → 354
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
265.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series590.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
175.0ms
(cbrt x)
174.0ms
(cbrt x)
65.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016574308
150014200

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.8b
(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
252×add-exp-log
122×cbrt-undiv div-exp
110×add-cbrt-cube
96×times-frac
86×prod-exp cbrt-unprod
65×associate-*l*
57×cbrt-prod
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1
7×div-inv
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 196
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
173.0ms
(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
168.0ms
(cbrt x)
171.0ms
(cbrt x)
50.0ms
(* (/ (cbrt 1) (/ (* (cbrt z) (cbrt z)) (cbrt 1))) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

simplify47.0ms

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010413880
150012821

prune682.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

rewrite207.0ms

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)
174.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
166.0ms
(cbrt x)
166.0ms
(cbrt x)
181.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017355027
150014746

prune859.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

33.6% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 4.0b

bsearch65.0ms

Steps
ItersRangePoint
8
1.9129599779607878e-143
7.452868241151589e-141
3.6948490856919295e-142
9
-0.1571161264614313
-3.6063108293918337e-10
-0.031032483723507254

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample549.0ms

Algorithm
intervals
Results
248.0ms8755×body80valid