Details

Time bar (total: 13.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.4s)

IterNodesCost
01317
12617
26117
314017
436317
579015
6271613
done500113

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 2 expressions with local error:

3.8b
(fma (/ y 2.0) (/ (- t) z) z)
5.3b
(/ y (fma (/ y 2.0) (/ (- t) z) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
2.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))

series421.0ms

Counts
2 → 6
Calls
2 calls:
336.0ms
(fma (/ y 2.0) (/ (- t) z) z)
85.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))

simplify1.1s

Counts
45 → 45
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
067697
1114688
2248626
3579625
41764625
done5000625

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (/ (fma (/ y 2.0) (/ (- t) z) z) y))
3.8b
(fma (/ y 2.0) (/ (- t) z) z)
5.2b
(/ (fma (/ y 2.0) (/ (- t) z) z) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
6.0ms
(/ 1 (/ (fma (/ y 2.0) (/ (- t) z) z) y))
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
2.0ms
(/ (fma (/ y 2.0) (/ (- t) z) z) y)

series257.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ 1 (/ (fma (/ y 2.0) (/ (- t) z) z) y))
81.0ms
(fma (/ y 2.0) (/ (- t) z) z)
87.0ms
(/ (fma (/ y 2.0) (/ (- t) z) z) y)

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: 3 (399.0ms)

IterNodesCost
01692571
13492357
26562120
314892100
439442100
done50012100

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 0.5 (/ t z))
0.0b
(- (/ z y) (* 0.5 (/ t z)))
0.7b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt *-un-lft-identity
13×fma-neg associate-*r* prod-diff
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-inv
3×expm1-log1p-u associate-*r/ div-exp associate-*l* associate-/r* associate-/r/ log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 111
Calls
3 calls:
11.0ms
(* 0.5 (/ t z))
14.0ms
(- (/ z y) (* 0.5 (/ t z)))
15.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series87.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(* 0.5 (/ t z))
35.0ms
(- (/ z y) (* 0.5 (/ t z)))
28.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify1.9s

Counts
120 → 120
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01801592
14001502
210111371
334671335
done50001321

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 (cbrt (- (/ z y) (* 0.5 (/ t z))))) (cbrt (- (/ z y) (* 0.5 (/ t z)))))
16.1b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
16.1b
(cbrt (- (/ z y) (* 0.5 (/ t z))))
16.1b
(cbrt (- (/ z y) (* 0.5 (/ t z))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
150×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
33×cbrt-div
25×associate-/l*
24×associate-/r/
13×add-exp-log
11×flip3-- associate-*r/ frac-sub flip--
8×div-inv
7×pow1
6×div-exp associate-/r* add-cbrt-cube
5×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 254
Calls
4 calls:
42.0ms
(/ (/ 1 (cbrt (- (/ z y) (* 0.5 (/ t z))))) (cbrt (- (/ z y) (* 0.5 (/ t z)))))
6.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
6.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
7.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

series450.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (/ 1 (cbrt (- (/ z y) (* 0.5 (/ t z))))) (cbrt (- (/ z y) (* 0.5 (/ t z)))))
104.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
102.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))
108.0ms
(cbrt (- (/ z y) (* 0.5 (/ t z))))

simplify2.2s

Counts
266 → 266
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
037510270
18479683
216539346
341509059
done50019059

prune645.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample497.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid