Details

Time bar (total: 24.3s)

sample32.0ms

Algorithm
intervals
Results
12.0ms269×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01011
12011
23610
35910
410410
517810
630210
735910
844610
971010
10127010
11359710
done500010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.5b
(fma (/ (- z t) (- a t)) y x)

rewrite39.0ms

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:
36.0ms
(/ (- z t) (- a t))
1.0ms
(fma (/ (- z t) (- a t)) y x)

series211.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ (- z t) (- a t))
113.0ms
(fma (/ (- z t) (- a t)) y x)

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: 3 (897.0ms)

IterNodesCost
0113884
1264856
2826810
34312808
done5000808

prune313.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.5b
(/ 1 (/ (- a t) (- z t)))
1.5b
(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite97.0ms

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:
44.0ms
(/ (- a t) (- z t))
39.0ms
(/ 1 (/ (- a t) (- z t)))
1.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

series607.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- a t) (- z t))
215.0ms
(/ 1 (/ (- a t) (- z t)))
310.0ms
(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.1s

Counts
223 → 223
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02703746
17033234
240063114
done50023100

prune645.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ y (/ (- a t) (- z t)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
40.0ms
(/ (- a t) (- z t))
49.0ms
(/ y (/ (- a t) (- z t)))

series321.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- a t) (- z t))
258.0ms
(/ y (/ (- a t) (- z t)))

simplify2.0s

Counts
204 → 204
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02743524
17433340
238813202
done50013198

prune822.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
7.6b
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
1471×times-frac
827×add-sqr-sqrt *-un-lft-identity
570×cbrt-div
415×cbrt-prod
409×associate-/r/
405×add-cube-cbrt
301×flip3-- flip--
211×distribute-lft-out-- difference-of-squares
188×frac-times
94×associate-*r/ associate-*l/
64×div-inv
46×associate-/r*
25×add-exp-log
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 828
Calls
4 calls:
5.0ms
(cbrt (- a t))
7.0ms
(cbrt (- a t))
16.0ms
(cbrt (- a t))
148.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- a t))
245.0ms
(cbrt (- a t))
240.0ms
(cbrt (- a t))
319.0ms
(/ (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- a t)) (- z t)))

simplify3.2s

Counts
840 → 840
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0109434226
1394232347
done500131578

prune4.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01322
11422
done1422

end0.0ms

sample1.3s

Algorithm
intervals
Results
610.0ms8679×body80valid