Details

Time bar (total: 18.7s)

sample36.0ms

Algorithm
intervals
Results
14.0ms277×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01011
12111
23710
36010
410310
516310
621410
724110
828010
932110
1040610
1150410
1257210
1363610
1466410
done66410

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(fma (/ (- z t) (- z a)) y x)

rewrite46.0ms

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:
40.0ms
(/ (- z t) (- z a))
0.0ms
(fma (/ (- z t) (- z a)) y x)

series189.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- z t) (- z a))
124.0ms
(fma (/ (- z t) (- z a)) y x)

simplify3.7s

Counts
70 → 70
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
0113884
1261856
2628808
31605808
44736806
done5000806

prune293.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(fma (* 1 (/ (- z t) (- z a))) y x)

rewrite60.0ms

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:
56.0ms
(/ (- z t) (- z a))
1.0ms
(fma (* 1 (/ (- z t) (- z a))) y x)

series193.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (- z t) (- z a))
117.0ms
(fma (* 1 (/ (- z t) (- z a))) y x)

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
0114910
1264856
2664808
31850808
done5001808

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.2b
(/ 1 (/ (- z a) (- z t)))
1.0b
(fma (* 1 (/ 1 (/ (- z a) (- z t)))) y x)

rewrite88.0ms

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:
26.0ms
(/ (- z a) (- z t))
49.0ms
(/ 1 (/ (- z a) (- z t)))
1.0ms
(fma (* 1 (/ 1 (/ (- z a) (- z t)))) y x)

series383.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (- z a) (- z t))
144.0ms
(/ 1 (/ (- z a) (- z t)))
160.0ms
(fma (* 1 (/ 1 (/ (- z a) (- z t)))) y x)

simplify3.3s

Counts
223 → 223
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02703770
16083230
213932913
337672837
done50002837

prune638.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(/ 1 (- z a))
0.2b
(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0b
(fma (* 1 (/ (/ 1 (- z a)) (/ 1 (- z t)))) y x)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
700×add-sqr-sqrt *-un-lft-identity
420×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
52×add-exp-log
47×div-inv
46×flip3-- flip--
36×div-exp
31×associate-/r*
27×associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×fma-udef associate-/l/
Counts
4 → 613
Calls
4 calls:
14.0ms
(/ 1 (- z t))
15.0ms
(/ 1 (- z a))
71.0ms
(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0ms
(fma (* 1 (/ (/ 1 (- z a)) (/ 1 (- z t)))) y x)

series456.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1 (- z t))
63.0ms
(/ 1 (- z a))
160.0ms
(/ (/ 1 (- z a)) (/ 1 (- z t)))
191.0ms
(fma (* 1 (/ (/ 1 (- z a)) (/ 1 (- z t)))) y x)

simplify2.9s

Counts
625 → 625
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
074715064
1206411196
238099962
done50009962

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

regimes265.0ms

Accuracy

0% (0.6b remaining)

Error of 1.3b against oracle of 0.7b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01112
11410
done1410

end0.0ms

sample1.3s

Algorithm
intervals
Results
563.0ms8761×body80valid
0.0ms1×body640valid
0.0ms1×body1280valid