Details

Time bar (total: 11.0s)

sample38.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.3s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

2.6b
(fma (/ t z) (- (/ y 2.0)) z)
5.3b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite6.0ms

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 (/ t z) (- (/ y 2.0)) z)
5.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series127.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(fma (/ t z) (- (/ y 2.0)) z)
78.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify1.2s

Counts
45 → 45
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
067697
1113688
2247626
3575625
41846625
done5001625

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
2.6b
(fma (/ t z) (- (/ y 2.0)) z)
5.2b
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
13×associate-*r*
10×add-cbrt-cube
6×pow1
4×div-exp prod-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 81
Calls
3 calls:
6.0ms
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
14.0ms
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
53.0ms
(fma (/ t z) (- (/ y 2.0)) z)
80.0ms
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
01031378
12101238
24161094
38721093
422531093
done50001093

prune187.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(- (* (* z 2.0) z) (* y t))
20.2b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
19.0ms
(- (* (* z 2.0) z) (* y t))
47.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series232.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* (* z 2.0) z) (* y t))
188.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify937.0ms

Counts
49 → 49
Iterations

Useful iterations: done (936.0ms)

IterNodesCost
098872
1276852
21230713
done5001707

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z))
0.6b
(/ 1 (- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
7×prod-diff
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* associate-/r/ associate-/l*
2×expm1-log1p-u flip3-- div-exp associate-*l/ frac-sub flip-- log1p-expm1-u div-inv
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg fma-neg diff-log 1-exp clear-num inv-pow
Counts
2 → 59
Calls
2 calls:
14.0ms
(- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z))
26.0ms
(/ 1 (- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z)))

series58.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z))
28.0ms
(/ 1 (- (* (/ z y) 1) (/ (* 1 (/ t 2.0)) z)))

simplify2.2s

Counts
65 → 65
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01341492
12961017
2807924
33509898
done5000875

prune131.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01417
11813
done1813

end0.0ms

sample567.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid