Details

Time bar (total: 15.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
734211
8155511
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

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
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- t (* a z))
72.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.2s

Counts
60 → 60
Iterations

Useful iterations: done (1.2s)

IterNodesCost
099821
1247801
2721732
32278728
done5001723

prune223.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.5b
(* y (/ z (- t (* a z))))
4.5b
(/ x (- t (* a z)))
7.9b
(/ z (- t (* a z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
46×times-frac
42×add-cube-cbrt *-un-lft-identity
15×fma-neg associate-*r* prod-diff
13×add-exp-log add-cbrt-cube
10×associate-/r/
6×pow1 flip3-- associate-/r* flip-- associate-/l* add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 144
Calls
4 calls:
26.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
8.0ms
(/ x (- t (* a z)))
5.0ms
(/ z (- t (* a z)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
55.0ms
(* y (/ z (- t (* a z))))
44.0ms
(/ x (- t (* a z)))
72.0ms
(/ z (- t (* a z)))

simplify2.0s

Counts
156 → 156
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01902541
14462451
212512205
341732153
done50012136

prune564.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (- t (* a z)) z))
1.5b
(* y (/ 1 (/ (- t (* a z)) z)))
4.5b
(/ x (- t (* a z)))
7.8b
(/ (- t (* a z)) z)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
112×add-sqr-sqrt
100×*-un-lft-identity
98×add-cube-cbrt
44×associate-*r*
38×add-exp-log
22×add-cbrt-cube
19×associate-/r*
16×div-exp
11×div-inv
9×associate-/l*
8×cbrt-undiv
7×pow1 prod-exp
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp associate-/r/ log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×flip3-- flip-- associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 216
Calls
4 calls:
7.0ms
(/ 1 (/ (- t (* a z)) z))
26.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
10.0ms
(/ (- t (* a z)) z)

series220.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ 1 (/ (- t (* a z)) z))
55.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
48.0ms
(/ x (- t (* a z)))
46.0ms
(/ (- t (* a z)) z)

simplify2.9s

Counts
228 → 228
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02863364
16952879
214602555
340112382
done50002380

prune693.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
1.5b
(/ y (- (/ t z) a))
4.5b
(/ x (- t (* a z)))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
658×add-sqr-sqrt
613×times-frac
493×*-un-lft-identity
423×prod-diff
393×add-cube-cbrt
364×unpow-prod-down
106×difference-of-squares
92×associate-/r/
50×distribute-lft-out--
48×flip3-- flip--
46×div-inv
18×fma-neg
17×sqr-pow
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num
Counts
4 → 552
Calls
4 calls:
5.0ms
(- t (* a z))
120.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
18.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* a z)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- t (* a z))
102.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
38.0ms
(/ y (- (/ t z) a))
54.0ms
(/ x (- t (* a z)))

simplify1.7s

Counts
564 → 564
Iterations

Useful iterations: done (1.7s)

IterNodesCost
072539830
1141530173
2376424629
done500124562

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.7b

regimes248.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01519
11917
done1917

end0.0ms

sample562.0ms

Algorithm
intervals
Results
299.0ms8732×body80valid