Details

Time bar (total: 9.2s)

sample38.0ms

Algorithm
intervals
Results
15.0ms275×body80valid

simplify466.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize15.0ms

Local error

Found 1 expressions with local error:

10.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
flip3-- associate-/r/ flip-- associate-/l/
pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
27.0ms
(/ (- x (* y z)) (- t (* a z)))

series107.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.0s

Counts
35 → 35

prune108.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.4b
(/ x (- t (* a z)))
12.4b
(/ (* y z) (- t (* a z)))

rewrite86.0ms

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
associate-/r/
associate-/r*
flip3-- flip-- add-log-exp
div-inv associate-/l*
pow1 cbrt-undiv distribute-rgt-out-- div-exp
frac-2neg clear-num difference-of-squares
sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
3 → 72
Calls
3 calls:
53.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
14.0ms
(/ x (- t (* a z)))
14.0ms
(/ (* y z) (- t (* a z)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
54.0ms
(/ x (- t (* a z)))
54.0ms
(/ (* y z) (- t (* a z)))

simplify510.0ms

Counts
81 → 81

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.4b
(/ x (- t (* a z)))
3.7b
(/ y (/ (- t (* a z)) z))
6.9b
(/ (- t (* a z)) z)

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
associate-/l*
div-inv
add-log-exp difference-of-squares
cbrt-undiv div-exp
pow1
flip3-- frac-2neg clear-num associate-/r/ flip--
associate-/l/ distribute-lft-out--
sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
90.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
14.0ms
(/ x (- t (* a z)))
18.0ms
(/ y (/ (- t (* a z)) z))
20.0ms
(/ (- t (* a z)) z)

series326.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
62.0ms
(/ x (- t (* a z)))
71.0ms
(/ y (/ (- t (* a z)) z))
50.0ms
(/ (- t (* a z)) z)

simplify1.0s

Counts
162 → 162

prune911.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.4b
(/ x (- t (* a z)))
3.7b
(/ y (- (/ t z) a))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
23×add-cube-cbrt
14×difference-of-squares
associate-/r* distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp
associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
frac-sub
Counts
4 → 105
Calls
4 calls:
27.0ms
(- (/ t z) a)
105.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
13.0ms
(/ x (- t (* a z)))
43.0ms
(/ y (- (/ t z) a))

series274.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ t z) a)
136.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
56.0ms
(/ x (- t (* a z)))
47.0ms
(/ y (- (/ t z) a))

simplify1.0s

Counts
117 → 117

prune335.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

regimes244.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch94.0ms

Steps
ItersRangePoint
7
2.846910558253672e-286
5.224414932221039e-285
4.507429170566249e-285
8
-2.2149405557308244e+31
-3.4323673974027324e+26
-3.528978657649998e+26

simplify503.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
483.0ms8753×body80valid