Details

Time bar (total: 9.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series76.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0433735
11861559
25001556

prune203.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite297.0ms

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:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
268.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt x)
167.0ms
(cbrt x)
173.0ms
(cbrt x)
72.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
374 → 374
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
016614340
150014232

prune1.2s

Filtered
374 candidates to 328 candidates (87.7%)
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)
2.8b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

rewrite212.0ms

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×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 → 349
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
182.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt x)
189.0ms
(cbrt x)
170.0ms
(cbrt x)
202.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt 1) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0))))

simplify73.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
015386267
150026030

prune1.7s

Filtered
361 candidates to 311 candidates (86.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

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)))))

rewrite349.0ms

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×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
Counts
4 → 493
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
214.0ms
(* (* (/ (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))))
93.0ms
(* (/ (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:
178.0ms
(cbrt x)
242.0ms
(cbrt (cbrt x))
154.0ms
(* (* (/ (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))))
513.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (/ (- y t) 2.0)) (cbrt (/ (- y t) 2.0)))))

simplify138.0ms

Algorithm
egg-herbie
Counts
505 → 505
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0252011807
1500111074

prune2.3s

Filtered
505 candidates to 428 candidates (84.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

49.8% (2.1b remaining)

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

bsearch93.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13421

end0.0ms

sample471.0ms

Algorithm
intervals
Results
257.0ms8726×body80valid