Details

Time bar (total: 7.8s)

sample22.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify17.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.1b
(/ x (- y (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
5.0ms
(- y (* z t))
17.0ms
(/ x (- y (* z t)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
42.0ms
(/ x (- y (* z t)))

simplify1.8s

Counts
47 → 47

prune106.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (/ (- y (* z t)) x))
3.1b
(/ (- y (* z t)) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(- y (* z t))
13.0ms
(/ 1 (/ (- y (* z t)) x))
13.0ms
(/ (- y (* z t)) x)

series198.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- y (* z t))
117.0ms
(/ 1 (/ (- y (* z t)) x))
49.0ms
(/ (- y (* z t)) x)

simplify689.0ms

Counts
127 → 127

prune299.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (* (- y (* z t)) (/ 1 x)))
3.2b
(* (- y (* z t)) (/ 1 x))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
20×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×prod-exp
14×*-un-lft-identity times-frac
13×add-cube-cbrt associate-*r*
9×rec-exp 1-exp
8×pow1
6×associate-/r/
5×cbrt-undiv flip3-- flip-- add-log-exp
4×frac-times associate-*l/ cbrt-unprod
3×associate-*l* associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
1×sub-neg frac-2neg diff-log clear-num associate-/r* *-commutative inv-pow
Counts
3 → 96
Calls
3 calls:
8.0ms
(- y (* z t))
51.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
42.0ms
(* (- y (* z t)) (/ 1 x))

series267.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- y (* z t))
156.0ms
(/ 1 (* (- y (* z t)) (/ 1 x)))
65.0ms
(* (- y (* z t)) (/ 1 x))

simplify633.0ms

Counts
105 → 105

prune319.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.4b
(* (* (* 1 (cbrt x)) (cbrt x)) (/ (* 1 (cbrt x)) (- y (* z t))))
2.1b
(/ (* 1 (cbrt x)) (- y (* z t)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
46×prod-exp
32×add-cbrt-cube
22×cbrt-unprod
15×div-exp
13×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×1-exp associate-*r*
8×cbrt-undiv
6×cbrt-prod times-frac pow-prod-down
4×associate-/r/ add-log-exp
3×associate-/r*
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l*
Counts
4 → 93
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
136.0ms
(* (* (* 1 (cbrt x)) (cbrt x)) (/ (* 1 (cbrt x)) (- y (* z t))))
27.0ms
(/ (* 1 (cbrt x)) (- y (* z t)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt x)
281.0ms
(cbrt x)
95.0ms
(* (* (* 1 (cbrt x)) (cbrt x)) (/ (* 1 (cbrt x)) (- y (* z t))))
166.0ms
(/ (* 1 (cbrt x)) (- y (* z t)))

simplify670.0ms

Counts
105 → 105

prune247.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 3.1b

regimes282.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify25.0ms

end0.0ms

sample951.0ms

Algorithm
intervals
Results
409.0ms8350×body80valid