Details

Time bar (total: 20.4s)

sample34.0ms

Algorithm
intervals
Results
13.0ms278×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
119205
238205
352205
480205
5104205
6156205
7277205
8723205
93311205
done5002205

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 56
Calls
3 calls:
4.0ms
(- x (* y z))
4.0ms
(- t (* a z))
24.0ms
(/ (- x (* y z)) (- t (* a z)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- x (* y z))
56.0ms
(- t (* a z))
95.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.7s

Counts
65 → 65
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
09616559
125815363
280915203
3265915203
done500315203

prune525.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
3.5b
(/ x (- t (* a z)))
10.7b
(/ (* y z) (- t (* a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
8×add-log-exp
6×associate-/r*
4×pow1 flip3-- associate-/r/ flip-- associate-/l*
3×cbrt-undiv div-exp
2×clear-num sub-neg frac-2neg diff-log div-inv
1×prod-exp cbrt-unprod
Counts
4 → 76
Calls
4 calls:
5.0ms
(- t (* a z))
4.0ms
(- t (* a z))
7.0ms
(/ x (- t (* a z)))
15.0ms
(/ (* y z) (- t (* a z)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- t (* a z))
40.0ms
(- t (* a z))
42.0ms
(/ x (- t (* a z)))
66.0ms
(/ (* y z) (- t (* a z)))

simplify2.9s

Counts
88 → 88
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
011118955
127317126
293616966
3385916806
done502316806

prune632.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.9b
(/ y (/ (- t (* a z)) z))
3.5b
(/ x (- t (* a z)))
10.1b
(/ (- t (* a z)) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
62×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-/r*
13×add-cbrt-cube add-exp-log
9×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×clear-num frac-2neg flip3-- associate-/r/ flip--
2×associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
4.0ms
(- t (* a z))
11.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ x (- t (* a z)))
11.0ms
(/ (- t (* a z)) z)

series205.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- t (* a z))
68.0ms
(/ y (/ (- t (* a z)) z))
48.0ms
(/ x (- t (* a z)))
42.0ms
(/ (- t (* a z)) z)

simplify2.2s

Counts
153 → 153
Iterations

Useful iterations: done (2.2s)

IterNodesCost
022146025
155143300
2172542370
done500040408

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
0.0b
(- t (* a z))
2.9b
(/ y (- (/ t z) a))
3.5b
(/ x (- t (* a z)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
42×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
9×associate-/r*
8×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
1×frac-sub
Counts
4 → 102
Calls
4 calls:
111.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
4.0ms
(- t (* a z))
24.0ms
(/ y (- (/ t z) a))
7.0ms
(/ x (- t (* a z)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
50.0ms
(- t (* a z))
37.0ms
(/ y (- (/ t z) a))
59.0ms
(/ x (- t (* a z)))

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
018132152
138530179
2111430019
3354130019
done500830019

prune756.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

regimes581.0ms

Accuracy

39.4% (1.0b remaining)

Error of 2.4b against oracle of 1.5b and baseline of 3.0b

bsearch91.0ms

Steps
ItersRangePoint
4
5.519604861661425e-120
8.220485397079747e-120
6.637318488869212e-120
8
-2.8225552725181653e-257
-8.412728042834542e-262
-7.433845130127019e-258

simplify10.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0291068
1371068
done371068

end0.0ms

sample1.5s

Algorithm
intervals
Results
666.0ms8661×body80valid