Details

Time bar (total: 10.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.8b
(/ x (/ (* z (- y t)) 2.0))

rewrite20.0ms

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:
11.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series84.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
48.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0353467
11535417
25001414

prune180.0ms

Filtered
80 candidates to 57 candidates (71.3%)
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)
4.1b
(* (/ (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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
270.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
180.0ms
(cbrt x)
182.0ms
(cbrt x)
76.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
366 → 366
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
016574308
150014200

prune1.3s

Filtered
366 candidates to 320 candidates (87.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.8b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
541×times-frac
451×add-sqr-sqrt
251×cbrt-prod
190×*-un-lft-identity
169×add-cube-cbrt
137×associate-*l*
70×unswap-sqr
65×associate-*r*
58×add-exp-log
39×sqrt-prod
31×add-cbrt-cube
27×cbrt-undiv div-exp
15×prod-exp cbrt-unprod
14×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 → 341
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
181.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

series755.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
178.0ms
(cbrt x)
179.0ms
(cbrt x)
207.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

simplify81.0ms

Algorithm
egg-herbie
Counts
353 → 353
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
015316225
150015988

prune1.6s

Filtered
353 candidates to 303 candidates (85.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.9b
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))) (/ (cbrt (cbrt x)) (cbrt (/ (- y t) 2.0))))
2.1b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))))

rewrite371.0ms

Algorithm
rewrite-expression-head
Rules
621×times-frac
524×cbrt-prod
408×add-sqr-sqrt
343×*-un-lft-identity
289×add-cube-cbrt
214×associate-*r*
144×add-exp-log
138×associate-*l*
61×add-cbrt-cube
56×prod-exp cbrt-unprod
55×cbrt-undiv div-exp
27×distribute-lft-out-- difference-of-squares
21×unswap-sqr
18×div-inv
11×pow1
7×frac-times associate-*l/
5×cbrt-div associate-*r/ associate-/r/
4×pow-prod-down add-log-exp
2×pow1/3 *-commutative
Counts
4 → 485
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
225.0ms
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))) (/ (cbrt (cbrt x)) (cbrt (/ (- y t) 2.0))))
99.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
247.0ms
(cbrt (cbrt x))
153.0ms
(* (* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0))))) (/ (cbrt (cbrt x)) (cbrt (/ (- y t) 2.0))))
547.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))))

simplify125.0ms

Algorithm
egg-herbie
Counts
497 → 497
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0251011713
1500110981

prune2.3s

Filtered
497 candidates to 420 candidates (84.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes141.0ms

Accuracy

49.8% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 4.2b

bsearch83.0ms

Steps
ItersRangePoint
10
2.754754698915271e+78
7.651293688611405e+90
1.741374549246005e+79
8
-121402.25444937394
-343.755777157047
-49355.07369414913

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03018
13218
23218

end0.0ms

sample470.0ms

Algorithm
intervals
Results
259.0ms8726×body80valid