Details

Time bar (total: 6.7s)

sample20.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×*-un-lft-identity
33×times-frac
32×add-cube-cbrt
18×prod-diff
13×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
7×associate-/r*
5×cbrt-undiv div-exp associate-*r* div-inv
4×pow1
3×associate-*l* associate-/l*
2×expm1-log1p-u sub-neg associate-*r/ prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
2 calls:
26.0ms
(* z (- y t))
13.0ms
(/ x (/ (* z (- y t)) 2.0))

series71.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* z (- y t))
40.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0433735
11861559
25001556

prune184.0ms

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)))

rewrite309.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 362
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
276.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
173.0ms
(cbrt x)
170.0ms
(cbrt x)
69.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
016614340
150014232

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
926×add-exp-log
508×div-exp
364×prod-exp
160×add-cbrt-cube
122×cbrt-undiv
110×1-exp
86×cbrt-unprod
50×rec-exp
30×times-frac
26×associate-*l*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 cbrt-prod
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 285
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
173.0ms
(* (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt x)
177.0ms
(cbrt x)
175.0ms
(cbrt x)
49.0ms
(* (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (* (/ (cbrt x) (/ (cbrt z) (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
014794765
150013691

prune414.0ms

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))))

rewrite211.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 347
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
181.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt x)
172.0ms
(cbrt x)
173.0ms
(cbrt x)
189.0ms
(* (/ (* (cbrt x) (cbrt x)) (/ z (sqrt 2.0))) (/ (cbrt x) (/ (- y t) (sqrt 2.0))))

simplify83.0ms

Algorithm
egg-herbie
Counts
359 → 359
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017395065
150014787

prune858.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

33.6% (2.7b remaining)

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

bsearch64.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample518.0ms

Algorithm
intervals
Results
233.0ms8755×body80valid