Details

Time bar (total: 10.7s)

sample25.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify1.0s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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

series140.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z t) (- z a))
90.0ms
(fma (/ (- z t) (- z a)) y x)

simplify2.5s

Counts
70 → 70
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
0113884
1261856
2628808
31605808
44736806
done5000806

prune218.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
120.0ms
(- (/ z (- z a)) (/ t (- z a)))
12.0ms
(/ t (- z a))
13.0ms
(/ z (- z a))
0.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series592.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(- (/ z (- z a)) (/ t (- z a)))
293.0ms
(/ t (- z a))
47.0ms
(/ z (- z a))
127.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify1.8s

Counts
593 → 593
Iterations

Useful iterations: done (1.8s)

IterNodesCost
056928402
1123125503
2260819551
done500014972

prune833.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (- z a))
0.3b
(fma (- (/ z (- z a)) 0) y x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
13.0ms
(/ z (- z a))
0.0ms
(fma (- (/ z (- z a)) 0) y x)

series150.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ z (- z a))
103.0ms
(fma (- (/ z (- z a)) 0) y x)

simplify2.2s

Counts
55 → 55
Iterations

Useful iterations: 4 (728.0ms)

IterNodesCost
086540
1155495
2356461
3813461
42314460
done5000460

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

regimes160.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
done1014

end0.0ms

sample646.0ms

Algorithm
intervals
Results
256.0ms8700×body80valid
0.0ms1×body640valid
0.0ms1×body320valid