Details

Time bar (total: 24.0s)

sample51.0ms

Algorithm
intervals
Results
21.0ms277×body80valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
36011
48811
512011
616811
732611
8112411
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
13.0ms
(- t (* a z))
40.0ms
(/ (- x (* y z)) (- t (* a z)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- t (* a z))
127.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify3.3s

Counts
60 → 60
Iterations

Useful iterations: done (3.3s)

IterNodesCost
099821
1247801
2744732
32444728
done5002708

prune256.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

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)))

rewrite195.0ms

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:
104.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
58.0ms
(* y (/ z (- t (* a z))))
13.0ms
(/ x (- t (* a z)))
9.0ms
(/ z (- t (* a z)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
63.0ms
(* y (/ z (- t (* a z))))
59.0ms
(/ x (- t (* a z)))
89.0ms
(/ z (- t (* a z)))

simplify3.3s

Counts
156 → 156
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01902541
14452451
212502205
340752153
done50002140

prune810.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.3b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
88×add-sqr-sqrt
83×add-cube-cbrt *-un-lft-identity
34×fma-neg prod-diff
30×distribute-lft-neg-in distribute-rgt-neg-in
15×associate-*r*
13×add-exp-log add-cbrt-cube associate-/l*
10×neg-mul-1
6×pow1 associate-/r* add-log-exp
5×div-inv
4×expm1-log1p-u associate-/r/ log1p-expm1-u
3×cbrt-undiv flip3-- div-exp associate-*l* flip--
2×neg-sub0 frac-2neg div-sub associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×associate--l- sub-neg diff-log distribute-frac-neg pow-prod-down *-commutative frac-sub
Counts
4 → 210
Calls
4 calls:
93.0ms
(- (/ (- x) (fma z a (- t))) (* y (/ z (- t (* a z)))))
52.0ms
(* y (/ z (- t (* a z))))
10.0ms
(/ (- x) (fma z a (- t)))
11.0ms
(/ z (- t (* a z)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(- (/ (- x) (fma z a (- t))) (* y (/ z (- t (* a z)))))
70.0ms
(* y (/ z (- t (* a z))))
60.0ms
(/ (- x) (fma z a (- t)))
111.0ms
(/ z (- t (* a z)))

simplify1.3s

Counts
222 → 222
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02594214
15784083
216143684
done50013612

prune966.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (- t (* a z)) z))
2.0b
(* y (/ 1 (/ (- t (* a z)) z)))
3.9b
(/ (- x) (fma z a (- t)))
10.1b
(/ (- t (* a z)) z)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
127×add-sqr-sqrt
115×*-un-lft-identity
113×add-cube-cbrt
44×associate-*r*
38×add-exp-log
22×add-cbrt-cube
19×associate-/r*
16×div-exp associate-/l*
12×distribute-lft-neg-in distribute-rgt-neg-in
11×div-inv
8×cbrt-undiv
7×pow1 prod-exp
5×unswap-sqr
4×expm1-log1p-u neg-mul-1 rec-exp 1-exp log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×div-sub associate-/r/ associate-/l/
1×neg-sub0 flip3-- pow-flip associate-*r/ distribute-frac-neg pow-prod-down un-div-inv *-commutative flip-- inv-pow
Counts
4 → 244
Calls
4 calls:
15.0ms
(/ 1 (/ (- t (* a z)) z))
62.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
16.0ms
(/ (- x) (fma z a (- t)))
31.0ms
(/ (- t (* a z)) z)

series283.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ 1 (/ (- t (* a z)) z))
70.0ms
(* y (/ 1 (/ (- t (* a z)) z)))
80.0ms
(/ (- x) (fma z a (- t)))
45.0ms
(/ (- t (* a z)) z)

simplify2.8s

Counts
256 → 256
Iterations

Useful iterations: done (2.8s)

IterNodesCost
03343862
17293350
215233025
340222850
done50012849

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

regimes271.0ms

Accuracy

0% (1.4b remaining)

Error of 2.8b against oracle of 1.5b and baseline of 2.8b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01518
12016
done2016

end0.0ms

sample1.1s

Algorithm
intervals
Results
487.0ms8749×body80valid