Details

Time bar (total: 9.9s)

sample35.0ms

Algorithm
intervals
Results
13.0ms283×body80valid

simplify544.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
flip3-- associate-/r* flip-- associate-/l*
pow1 associate-/r/ associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- x (* y z))
85.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.1s

Counts
50 → 50

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.6b
(/ 1 (- t (* a z)))
9.4b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
flip3-- flip-- add-log-exp
div-exp prod-exp associate-/r/
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
10.0ms
(- x (* y z))
17.0ms
(/ 1 (- t (* a z)))
37.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (* y z))
62.0ms
(/ 1 (- t (* a z)))
74.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify602.0ms

Counts
96 → 96

prune296.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.9b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip--
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num associate-/l/
sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 128
Calls
3 calls:
8.0ms
(- x (* y z))
30.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
35.0ms
(/ (- t (* a z)) (- x (* y z)))

series427.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (* y z))
287.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
94.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify830.0ms

Counts
137 → 137

prune397.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 10.0b

localize24.0ms

Local error

Found 4 expressions with local error:

9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.0b
(cbrt (- t (* a z)))
9.4b
(* (- x (* y z)) (* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ 1 (cbrt (- t (* a z))))))

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
117×add-exp-log
69×prod-exp
30×div-exp
26×add-cbrt-cube
15×rec-exp 1-exp cbrt-unprod
11×frac-times
pow1 cbrt-prod
add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
cbrt-undiv associate-*r/
cbrt-div
associate-*l/
add-log-exp
pow1/3 associate-*l* pow-prod-down un-div-inv
associate-*r* *-commutative
Counts
4 → 103
Calls
4 calls:
5.0ms
(cbrt (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))
381.0ms
(* (- x (* y z)) (* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ 1 (cbrt (- t (* a z))))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (- t (* a z)))
171.0ms
(cbrt (- t (* a z)))
163.0ms
(cbrt (- t (* a z)))
136.0ms
(* (- x (* y z)) (* (/ 1 (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ 1 (cbrt (- t (* a z))))))

simplify908.0ms

Counts
115 → 115

prune373.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 10.0b

regimes342.0ms

Accuracy

27.4% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.8b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.1s

Algorithm
intervals
Results
493.0ms8769×body80valid