Details

Time bar (total: 9.2s)

sample44.0ms

Algorithm
intervals
Results
18.0ms280×body80valid

simplify592.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512211
622311
766811
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
7.0ms
(- t (* a z))
14.0ms
(- x (* y z))
21.0ms
(/ (- x (* y z)) (- t (* a z)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- t (* a z))
43.0ms
(- x (* y z))
99.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify765.0ms

Counts
83 → 83
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
01201022
1304996
21294907
done5000897

prune412.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.8b
(/ (- x (* y z)) (+ (fma a (- z) t) (* z (+ (- a) a))))

rewrite37.0ms

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×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
12.0ms
(- x (* y z))
24.0ms
(/ (- x (* y z)) (+ (fma a (- z) t) (* z (+ (- a) a))))

series176.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- x (* y z))
114.0ms
(/ (- x (* y z)) (+ (fma a (- z) t) (* z (+ (- a) a))))

simplify856.0ms

Counts
60 → 60
Iterations

Useful iterations: done (852.0ms)

IterNodesCost
01031171
12761151
21147967
done5000868

prune436.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.6b
(/ 1 (fma 0 z (fma a (- z) t)))
10.6b
(* (- x (* y z)) (/ 1 (fma 0 z (fma a (- z) t))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
16×add-exp-log
13×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp
3×expm1-log1p-u flip3-- fma-neg associate-*l* prod-diff associate-/r* flip-- 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 → 95
Calls
3 calls:
17.0ms
(- x (* y z))
6.0ms
(/ 1 (fma 0 z (fma a (- z) t)))
45.0ms
(* (- x (* y z)) (/ 1 (fma 0 z (fma a (- z) t))))

series278.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(- x (* y z))
78.0ms
(/ 1 (fma 0 z (fma a (- z) t)))
137.0ms
(* (- x (* y z)) (/ 1 (fma 0 z (fma a (- z) t))))

simplify1.1s

Counts
104 → 104
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01311625
13091511
214021219
done50021047

prune496.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* z y))
0.6b
(/ 1 (/ (fma 0 z (fma a (- z) t)) (- x (* z y))))
10.6b
(/ (fma 0 z (fma a (- z) t)) (- x (* z y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 137
Calls
3 calls:
14.0ms
(- x (* z y))
43.0ms
(/ 1 (/ (fma 0 z (fma a (- z) t)) (- x (* z y))))
22.0ms
(/ (fma 0 z (fma a (- z) t)) (- x (* z y)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- x (* z y))
128.0ms
(/ 1 (/ (fma 0 z (fma a (- z) t)) (- x (* z y))))
154.0ms
(/ (fma 0 z (fma a (- z) t)) (- x (* z y)))

simplify1.3s

Counts
146 → 146
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02003370
14803121
220652730
done50012318

prune492.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 10.8b

regimes391.0ms

Accuracy

0% (0.4b remaining)

Error of 10.2b against oracle of 9.8b and baseline of 10.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01416
11716
done1716

end0.0ms

sample1.1s

Algorithm
intervals
Results
556.0ms8655×body80valid