Details

Time bar (total: 8.9s)

sample24.0ms

Algorithm
intervals
Results
8.0ms267×body80valid

simplify29.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
20.0ms
(- y (* z t))
19.0ms
(/ x (- y (* z t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- y (* z t))
58.0ms
(/ x (- y (* z t)))

simplify2.1s

Counts
47 → 47

prune182.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.7b
(/ 1 (/ (- y (* z t)) x))
3.1b
(/ (- y (* z t)) x)

rewrite59.0ms

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:
6.0ms
(- y (* z t))
16.0ms
(/ 1 (/ (- y (* z t)) x))
33.0ms
(/ (- y (* z t)) x)

series285.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- y (* z t))
167.0ms
(/ 1 (/ (- y (* z t)) x))
64.0ms
(/ (- y (* z t)) x)

simplify667.0ms

Counts
127 → 127

prune272.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 3.2b

localize22.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
8.4b
(cbrt (- y (* z t)))
8.4b
(cbrt (- y (* z t)))
8.4b
(cbrt (- y (* z t)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 88
Calls
4 calls:
79.0ms
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
3.0ms
(cbrt (- y (* z t)))
3.0ms
(cbrt (- y (* z t)))
4.0ms
(cbrt (- y (* z t)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ x (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t)))))
173.0ms
(cbrt (- y (* z t)))
171.0ms
(cbrt (- y (* z t)))
170.0ms
(cbrt (- y (* z t)))

simplify1.1s

Counts
100 → 100

prune339.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.1b

localize18.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ x (- y (* z t)))
14.2b
(cbrt (/ x (- y (* z t))))
14.2b
(cbrt (/ x (- y (* z t))))
14.2b
(cbrt (/ x (- y (* z t))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
10.0ms
(/ x (- y (* z t)))
5.0ms
(cbrt (/ x (- y (* z t))))
5.0ms
(cbrt (/ x (- y (* z t))))
6.0ms
(cbrt (/ x (- y (* z t))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ x (- y (* z t)))
111.0ms
(cbrt (/ x (- y (* z t))))
112.0ms
(cbrt (/ x (- y (* z t))))
148.0ms
(cbrt (/ x (- y (* z t))))

simplify751.0ms

Counts
113 → 113

prune487.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.1b

regimes266.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify25.0ms

end0.0ms

sample884.0ms

Algorithm
intervals
Results
384.0ms8368×body80valid