Details

Time bar (total: 13.6s)

sample22.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
618211
763211
8374511
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
12.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
3.0ms
(- x (* y z))
13.0ms
(/ (- x (* y z)) (- t (* a z)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (* y z))
67.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0100821
1261801
2863733
33490728
done5000723

prune197.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.3b
(/ 1 (- t (* a z)))
12.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 99
Calls
3 calls:
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
18.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series151.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* y z))
57.0ms
(/ 1 (- t (* a z)))
62.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.3s

Counts
108 → 108
Iterations

Useful iterations: 3 (885.0ms)

IterNodesCost
01411406
13471271
212791107
348981101
done50001101

prune298.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 12.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.0b
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (* z (- y))) (- t (* a z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
Counts
4 → 70
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (* z (- y))) (- t (* a z)))

series775.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt x)
197.0ms
(cbrt x)
195.0ms
(cbrt x)
183.0ms
(/ (fma (* (cbrt x) (cbrt x)) (cbrt x) (* z (- y))) (- t (* a z)))

simplify809.0ms

Counts
82 → 82
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
0931091
11871070
2543820
31867690
done5000688

prune289.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 12.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* z y))
12.0b
(/ (- x (* z y)) (- t (* a z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- fma-neg prod-diff associate-/r* flip-- associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 54
Calls
2 calls:
2.0ms
(- x (* z y))
9.0ms
(/ (- x (* z y)) (- t (* a z)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- x (* z y))
66.0ms
(/ (- x (* z y)) (- t (* a z)))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
099821
1253801
2847733
33464728
done5001723

prune156.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 12.1b

regimes223.0ms

Accuracy

0% (0.3b remaining)

Error of 10.8b against oracle of 10.5b and baseline of 10.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample534.0ms

Algorithm
intervals
Results
272.0ms8669×body80valid