Details

Time bar (total: 9.5s)

sample35.0ms

Algorithm
intervals
Results
14.0ms276×body80valid

simplify363.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite33.0ms

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×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
14.0ms
(- x (* y z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- x (* y z))
74.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.3s

Counts
50 → 50

prune155.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.2b
(/ x (- t (* a z)))
11.4b
(/ (* y z) (- t (* a z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/r*
5×flip3-- flip-- add-log-exp
4×div-inv associate-/l*
3×pow1 cbrt-undiv distribute-rgt-out-- div-exp
2×frac-2neg clear-num difference-of-squares
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
3 → 72
Calls
3 calls:
83.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
15.0ms
(/ x (- t (* a z)))
30.0ms
(/ (* y z) (- t (* a z)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
43.0ms
(/ x (- t (* a z)))
62.0ms
(/ (* y z) (- t (* a z)))

simplify421.0ms

Counts
81 → 81

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.2b
(/ x (- t (* a z)))
2.6b
(* y (/ z (- t (* a z))))
8.5b
(/ z (- t (* a z)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
43.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
16.0ms
(/ x (- t (* a z)))
39.0ms
(* y (/ z (- t (* a z))))
11.0ms
(/ z (- t (* a z)))

series321.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
46.0ms
(/ x (- t (* a z)))
52.0ms
(* y (/ z (- t (* a z))))
71.0ms
(/ z (- t (* a z)))

simplify652.0ms

Counts
118 → 118

prune398.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.2b

localize26.0ms

Local error

Found 4 expressions with local error:

2.2b
(/ x (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
4×pow1 flip3-- flip-- add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 68
Calls
4 calls:
9.0ms
(/ x (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))

series526.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ x (- t (* a z)))
156.0ms
(cbrt (- t (* a z)))
169.0ms
(cbrt (- t (* a z)))
146.0ms
(cbrt (- t (* a z)))

simplify1.1s

Counts
80 → 80

prune353.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.2b

regimes263.0ms

Accuracy

0% (0.8b remaining)

Error of 7.2b against oracle of 6.4b and baseline of 7.2b

bsearch0.0ms

simplify1.4s

end0.0ms

sample1.3s

Algorithm
intervals
Results
773.0ms8749×body80valid