Details

Time bar (total: 19.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms288×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
12.1b
(/ (- x (* y z)) (- t (* a z)))

rewrite36.0ms

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))
25.0ms
(/ (- x (* y z)) (- t (* a z)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (* y z))
33.0ms
(- t (* a z))
73.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.8s

Counts
65 → 65
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
096852
1252829
2778765
32567765
done5000765

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
3.3b
(* y (/ z (- t (* a z))))
3.9b
(/ x (- t (* a z)))
9.5b
(/ z (- t (* a z)))

rewrite56.0ms

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 div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 104
Calls
4 calls:
5.0ms
(- t (* a z))
28.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
10.0ms
(/ z (- t (* a z)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- t (* a z))
48.0ms
(* y (/ z (- t (* a z))))
44.0ms
(/ x (- t (* a z)))
63.0ms
(/ z (- t (* a z)))

simplify2.7s

Counts
116 → 116
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01461329
13251289
28531169
321821169
done50011131

prune381.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- t (* a z))
3.2b
(/ y (- (/ t z) a))
3.9b
(/ x (- t (* a z)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
33×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 97
Calls
4 calls:
31.0ms
(- (/ t z) a)
16.0ms
(- t (* a z))
42.0ms
(/ y (- (/ t z) a))
16.0ms
(/ x (- t (* a z)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ t z) a)
39.0ms
(- t (* a z))
57.0ms
(/ y (- (/ t z) a))
65.0ms
(/ x (- t (* a z)))

simplify2.9s

Counts
109 → 109
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01601234
13141200
27251124
315931122
438841120
done50011120

prune387.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.5b
(/ 1 (/ (- t (* a z)) x))
3.2b
(/ y (- (/ t z) a))
3.9b
(/ (- t (* a z)) x)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
85×add-sqr-sqrt
73×*-un-lft-identity
65×add-cube-cbrt
22×associate-/r*
19×add-exp-log
13×add-cbrt-cube
9×div-exp associate-/l*
8×difference-of-squares
7×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×distribute-lft-out--
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 159
Calls
4 calls:
7.0ms
(- t (* a z))
14.0ms
(/ 1 (/ (- t (* a z)) x))
32.0ms
(/ y (- (/ t z) a))
32.0ms
(/ (- t (* a z)) x)

series312.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- t (* a z))
150.0ms
(/ 1 (/ (- t (* a z)) x))
41.0ms
(/ y (- (/ t z) a))
67.0ms
(/ (- t (* a z)) x)

simplify2.2s

Counts
171 → 171
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
02502463
15352217
211982004
330561986
done50001986

prune499.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

regimes239.0ms

Accuracy

82.8% (0.3b remaining)

Error of 1.6b against oracle of 1.3b and baseline of 3.0b

bsearch80.0ms

Steps
ItersRangePoint
7
5.0483432761710205e-06
0.001020768799921521
0.00010358342249128325
7
-1.2598404874570673e-85
-4.859368996141315e-87
-1.2479025177585968e-85

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02559
13439
done3439

end0.0ms

sample1.1s

Algorithm
intervals
Results
553.0ms8706×body80valid