Details

Time bar (total: 4.4s)

sample27.0ms

Algorithm
intervals
Results
10.0ms285×body80valid

simplify74.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
5.0ms
(- x (* y z))
5.0ms
(- t (* a z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

series133.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- x (* y z))
33.0ms
(- t (* a z))
69.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify80.0ms

Counts
65 → 65

prune179.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.4b
(/ x (- t (* a z)))
11.8b
(/ (* y z) (- t (* a z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 84
Calls
4 calls:
5.0ms
(- t (* a z))
58.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
15.0ms
(/ (* y z) (- t (* a z)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- t (* a z))
105.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
41.0ms
(/ x (- t (* a z)))
52.0ms
(/ (* y z) (- t (* a z)))

simplify33.0ms

Counts
96 → 96

prune246.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.2b
(* y (/ z (- t (* a z))))
2.4b
(/ x (- t (* a z)))
8.7b
(/ z (- t (* a z)))

rewrite94.0ms

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)))))
23.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
15.0ms
(/ z (- t (* a z)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
47.0ms
(* y (/ z (- t (* a z))))
40.0ms
(/ x (- t (* a z)))
62.0ms
(/ z (- t (* a z)))

simplify39.0ms

Counts
118 → 118

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize12.0ms

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)))
2.7b
(/ y (/ (- t (* a z)) z))
8.7b
(/ (- t (* a z)) z)

rewrite126.0ms

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
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
78.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
9.0ms
(/ x (- t (* a z)))
12.0ms
(/ y (/ (- t (* a z)) z))
19.0ms
(/ (- t (* a z)) z)

series234.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
44.0ms
(/ x (- t (* a z)))
49.0ms
(/ y (/ (- t (* a z)) z))
35.0ms
(/ (- t (* a z)) z)

simplify56.0ms

Counts
162 → 162

prune431.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

regimes180.0ms

Accuracy

78.2% (0.4b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 3.0b

bsearch66.0ms

Steps
ItersRangePoint
5
2.6932832767841798e-14
7.166964823350605e-14
3.575354698827828e-14
9
-2.2282503359944614e-18
-8.270292467587537e-24
-4.494157337141473e-23

simplify1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
898.0ms8720×body80valid