Details

Time bar (total: 26.3s)

sample26.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite31.0ms

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:
7.0ms
(- t (* a z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- t (* a z))
108.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.6s

Counts
60 → 60
Iterations

Useful iterations: done (3.6s)

IterNodesCost
099821
1247801
2744732
32444728
done5002708

prune308.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.0b
(* y (/ z (- t (* a z))))
3.9b
(/ x (- t (* a z)))
10.2b
(/ z (- t (* a z)))

rewrite191.0ms

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:
106.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
58.0ms
(* y (/ z (- t (* a z))))
10.0ms
(/ x (- t (* a z)))
11.0ms
(/ z (- t (* a z)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
66.0ms
(* y (/ z (- t (* a z))))
86.0ms
(/ x (- t (* a z)))
101.0ms
(/ z (- t (* a z)))

simplify3.0s

Counts
156 → 156
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01902541
14452451
212502205
340752153
done50002140

prune812.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.8b
(fma (/ z (- t (* a z))) (- y) (/ x (fma (- z) a t)))
3.9b
(/ x (fma (- z) a t))
10.2b
(/ z (- t (* a z)))
10.2b
(/ z (- t (* a z)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
4×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
2×flip3-- flip--
1×fma-udef
Counts
4 → 101
Calls
4 calls:
1.0ms
(fma (/ z (- t (* a z))) (- y) (/ x (fma (- z) a t)))
12.0ms
(/ x (fma (- z) a t))
20.0ms
(/ z (- t (* a z)))
21.0ms
(/ z (- t (* a z)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(fma (/ z (- t (* a z))) (- y) (/ x (fma (- z) a t)))
70.0ms
(/ x (fma (- z) a t))
92.0ms
(/ z (- t (* a z)))
101.0ms
(/ z (- t (* a z)))

simplify3.6s

Counts
113 → 113
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01261387
12351360
25471242
313311237
438291207
done50001207

prune607.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (- y) (- (/ t z) a)) (/ x (fma (- z) a t)))
2.3b
(/ (- y) (- (/ t z) a))
3.9b
(/ x (fma (- z) a t))
10.2b
(/ z (- t (* a z)))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
186×add-sqr-sqrt
167×times-frac
143×*-un-lft-identity
81×add-cube-cbrt
66×fma-def
42×difference-of-squares
41×distribute-rgt-neg-in
39×distribute-lft-neg-in
23×distribute-lft-out--
16×associate-/l*
13×neg-mul-1
12×associate-/r*
10×add-exp-log add-cbrt-cube
6×associate-/r/ add-log-exp
5×distribute-lft-out
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip--
2×neg-sub0 div-sub
1×+-commutative associate-+l- flip3-+ distribute-frac-neg frac-add sum-log flip-+
Counts
4 → 240
Calls
4 calls:
249.0ms
(+ (/ (- y) (- (/ t z) a)) (/ x (fma (- z) a t)))
48.0ms
(/ (- y) (- (/ t z) a))
10.0ms
(/ x (fma (- z) a t))
19.0ms
(/ z (- t (* a z)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (/ (- y) (- (/ t z) a)) (/ x (fma (- z) a t)))
62.0ms
(/ (- y) (- (/ t z) a))
71.0ms
(/ x (fma (- z) a t))
120.0ms
(/ z (- t (* a z)))

simplify2.8s

Counts
252 → 252
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02852752
15912632
214372524
335092518
done50012514

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.2b

regimes236.0ms

Accuracy

0% (1.9b remaining)

Error of 3.4b against oracle of 1.5b and baseline of 3.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02238
12838
done2838

end0.0ms

sample1.0s

Algorithm
intervals
Results
571.0ms8749×body80valid