Details

Time bar (total: 18.4s)

sample40.0ms

Algorithm
intervals
Results
15.0ms277×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
01011
11711
23511
36310
410610
516710
622210
725510
828910
933810
1045010
1157010
1262410
1363610
1463810
done63810

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.8b
(fma (/ (- y z) (- a z)) t x)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
50.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series267.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ (- y z) (- a z))
165.0ms
(fma (/ (- y z) (- a z)) t x)

simplify3.3s

Counts
70 → 70
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
0113884
1259856
2633808
31589808
44605806
done5000806

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.8b
(* (/ (- y z) (- a z)) t)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
34.0ms
(/ (- y z) (- a z))
66.0ms
(* (/ (- y z) (- a z)) t)

series219.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- y z) (- a z))
140.0ms
(* (/ (- y z) (- a z)) t)

simplify2.6s

Counts
112 → 112
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune426.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
0.8b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
34.0ms
(/ (- a z) (- y z))
38.0ms
(/ 1 (/ (- a z) (- y z)))
0.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series637.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ (- a z) (- y z))
237.0ms
(/ 1 (/ (- a z) (- y z)))
316.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify3.1s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02703746
16053234
213792915
337392837
done50002837

prune572.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.8b
(/ t (/ (- a z) (- y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
28.0ms
(/ (- a z) (- y z))
29.0ms
(/ t (/ (- a z) (- y z)))

series352.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- a z) (- y z))
280.0ms
(/ t (/ (- a z) (- y z)))

simplify2.3s

Counts
204 → 204
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune880.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.3s

Algorithm
intervals
Results
694.0ms8762×body80valid
0.0ms1×body160valid