Details

Time bar (total: 23.3s)

sample35.0ms

Algorithm
intervals
Results
14.0ms276×body80valid

simplify9.0ms

Counts
1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite70.0ms

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:
44.0ms
(* z (- y t))
21.0ms
(/ x (/ (* z (- y t)) 2.0))

series97.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* z (- y t))
53.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify29.0ms

Counts
80 → 80

prune245.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.5b
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite388.0ms

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)
332.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

series916.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt x)
254.0ms
(cbrt x)
275.0ms
(cbrt x)
115.0ms
(* (/ (cbrt x) (/ z (cbrt x))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify452.0ms

Counts
366 → 366

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
0.6b
(cbrt (- y t))
2.9b
(/ (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0)))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
4838×times-frac
1780×add-sqr-sqrt *-un-lft-identity
1774×add-cube-cbrt
1335×cbrt-prod
414×sqrt-prod
216×div-inv
137×associate-/l*
40×add-exp-log
25×add-cbrt-cube
24×cbrt-undiv div-exp
12×associate-/r/
10×associate-/r*
6×cbrt-div
4×pow1 add-log-exp
3×flip3-- pow1/3 prod-exp flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num associate-/l/
Counts
4 → 1592
Calls
4 calls:
7.0ms
(cbrt (- y t))
7.0ms
(cbrt (- y t))
5.0ms
(cbrt (- y t))
116.0ms
(/ (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0)))

series958.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (- y t))
212.0ms
(cbrt (- y t))
213.0ms
(cbrt (- y t))
334.0ms
(/ (/ (cbrt x) (/ z (cbrt x))) (/ (* (cbrt (- y t)) (cbrt (- y t))) (sqrt 2.0)))

simplify370.0ms

Counts
1604 → 1604

prune10.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.7b
(* (/ 1 (/ 1 (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
3.9b
(* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0)))

rewrite892.0ms

Algorithm
rewrite-expression-head
Rules
1294×add-exp-log
706×times-frac
674×div-exp
542×add-sqr-sqrt
517×prod-exp
398×cbrt-prod
328×*-un-lft-identity
292×add-cube-cbrt
217×associate-*l*
193×add-cbrt-cube
140×cbrt-undiv
130×rec-exp 1-exp
120×associate-*r*
95×cbrt-unprod
45×unswap-sqr
18×div-inv distribute-lft-out-- difference-of-squares
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
3×associate-/r/
2×pow1/3 *-commutative
Counts
4 → 717
Calls
4 calls:
3.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
268.0ms
(* (/ 1 (/ 1 (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
488.0ms
(* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (cbrt x))
367.0ms
(cbrt (cbrt x))
94.0ms
(* (/ 1 (/ 1 (* (cbrt (cbrt x)) (cbrt (cbrt x))))) (* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0))))
380.0ms
(* (/ (cbrt x) (/ z (cbrt (cbrt x)))) (/ (cbrt x) (/ (- y t) 2.0)))

simplify165.0ms

Counts
729 → 729

prune3.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes246.0ms

Accuracy

36.1% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 4.4b

bsearch125.0ms

Steps
ItersRangePoint
5
3.871721597486801e+34
8.189496647123915e+34
6.823904024614768e+34
10
-1.4863447304785539e-242
-1.195101063322173e-261
-5.962814115314182e-245

simplify38.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
478.0ms8731×body80valid