Details

Time bar (total: 6.4s)

sample43.0ms

Algorithm
intervals
Results
19.0ms332×body80valid

simplify138.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.6b
(* (- y x) (/ z t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ z t)))
29.0ms
(* (- y x) (/ z t))

series133.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ x (* (- y x) (/ z t)))
80.0ms
(* (- y x) (/ z t))

simplify30.0ms

Counts
55 → 55

prune149.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
2.8b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
2.9b
(* (cbrt (- y x)) (/ z t))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*l/
31×add-sqr-sqrt
30×add-exp-log
27×associate-*r/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
9×associate-*l* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
111.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
30.0ms
(* (cbrt (- y x)) (/ z t))

series634.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- y x))
178.0ms
(cbrt (- y x))
55.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
248.0ms
(* (cbrt (- y x)) (/ z t))

simplify61.0ms

Counts
164 → 164

prune456.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
56.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series401.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms
(cbrt (/ z t))
70.0ms
(cbrt (/ z t))
83.0ms
(cbrt (/ z t))

simplify93.0ms

Counts
110 → 110

prune424.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
3.5b
(cbrt (/ z (cbrt t)))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
39×cbrt-div
36×times-frac
34×add-sqr-sqrt *-un-lft-identity
32×add-cube-cbrt
29×frac-times
22×associate-*r/
13×pow1 add-exp-log
11×associate-*l/
9×add-cbrt-cube
8×flip3-- flip--
6×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×add-log-exp
3×pow1/3 div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 121
Calls
4 calls:
163.0ms
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
5.0ms
(cbrt (/ z (cbrt t)))
4.0ms
(cbrt (/ z t))
4.0ms
(cbrt (/ z t))

series459.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ 1 (* (cbrt t) (cbrt t)))) (cbrt (/ z (cbrt t))))))
176.0ms
(cbrt (/ z (cbrt t)))
74.0ms
(cbrt (/ z t))
70.0ms
(cbrt (/ z t))

simplify72.0ms

Counts
133 → 133

prune804.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes339.0ms

Accuracy

-229.2% (6.4b remaining)

Error of 6.5b against oracle of 0.0b and baseline of 2.0b

bsearch86.0ms

Steps
ItersRangePoint
9
1.4838895886297806e-273
3.9955606630812066e-268
4.07875646090157e-273
8
-1.4237771402059297e-13
-4.201261092864505e-18
-5.554823316875535e-17

simplify35.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
850.0ms10698×body80valid