Details

Time bar (total: 7.2s)

sample39.0ms

Algorithm
intervals
Results
15.0ms332×body80valid

simplify146.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
7.4b
(/ (* (- y x) z) t)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
36.0ms
(* (- y x) z)
16.0ms
(+ x (/ (* (- y x) z) t))
24.0ms
(/ (* (- y x) z) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (- y x) z)
43.0ms
(+ x (/ (* (- y x) z) t))
48.0ms
(/ (* (- y x) z) t)

simplify28.0ms

Counts
66 → 66

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
5.5b
(/ (- y x) (/ t z))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
62.0ms
(+ x (/ (- y x) (/ t z)))
31.0ms
(/ (- y x) (/ t z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ x (/ (- y x) (/ t z)))
65.0ms
(/ (- y x) (/ t z))

simplify49.0ms

Counts
120 → 120

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
5.3b
(/ (/ t z) (- y x))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
100.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
49.0ms
(/ 1 (/ (/ t z) (- y x)))
28.0ms
(/ (/ t z) (- y x))

series159.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
71.0ms
(/ 1 (/ (/ t z) (- y x)))
49.0ms
(/ (/ t z) (- y x))

simplify75.0ms

Counts
434 → 434

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (/ t z) (- y x))
7.0b
(cbrt (/ (/ t z) (- y x)))
7.0b
(cbrt (/ (/ t z) (- y x)))
7.0b
(cbrt (/ (/ t z) (- y x)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
313×add-sqr-sqrt *-un-lft-identity
213×cbrt-prod
207×add-cube-cbrt
53×distribute-lft-out-- difference-of-squares
25×div-inv
13×associate-/l*
9×add-exp-log add-cbrt-cube
8×associate-/r/
5×associate-/r*
4×pow1 flip3-- flip-- add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 340
Calls
4 calls:
39.0ms
(/ (/ t z) (- y x))
13.0ms
(cbrt (/ (/ t z) (- y x)))
13.0ms
(cbrt (/ (/ t z) (- y x)))
11.0ms
(cbrt (/ (/ t z) (- y x)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (/ t z) (- y x))
157.0ms
(cbrt (/ (/ t z) (- y x)))
188.0ms
(cbrt (/ (/ t z) (- y x)))
218.0ms
(cbrt (/ (/ t z) (- y x)))

simplify81.0ms

Counts
352 → 352

prune1.8s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes183.0ms

Accuracy

-250.1% (6.5b remaining)

Error of 6.5b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify36.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
555.0ms10698×body80valid