Details

Time bar (total: 15.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 6 (963.0ms)

IterNodesCost
01317
12617
26117
314017
436317
578915
6406513
done500113

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 2 expressions with local error:

2.6b
(fma (/ y 2.0) (/ (- t) z) z)
4.4b
(/ y (fma (/ y 2.0) (/ (- t) z) z))

rewrite3.0ms

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))

series136.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(fma (/ y 2.0) (/ (- t) z) z)
72.0ms
(/ y (fma (/ y 2.0) (/ (- t) z) z))

simplify1.7s

Counts
45 → 45
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
067697
1114688
2281626
3872625
43020625
done5001625

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 2 expressions with local error:

2.6b
(fma (/ y 2.0) (/ (- t) z) z)
4.4b
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac div-exp associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod fma-udef div-inv
Counts
2 → 34
Calls
2 calls:
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
3.0ms
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(fma (/ y 2.0) (/ (- t) z) z)
68.0ms
(/ y (* 1 (fma (/ y 2.0) (/ (- t) z) z)))

simplify2.1s

Counts
40 → 40
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
069587
1147521
2366437
31044436
43562436
done5000436

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b
(/ 1 (fma (/ y 2.0) (/ (- t) z) z))
2.6b
(fma (/ y 2.0) (/ (- t) z) z)
3.7b
(* y (/ 1 (fma (/ y 2.0) (/ (- t) z) z)))

rewrite14.0ms

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:
2.0ms
(/ 1 (fma (/ y 2.0) (/ (- t) z) z))
0.0ms
(fma (/ y 2.0) (/ (- t) z) z)
8.0ms
(* y (/ 1 (fma (/ y 2.0) (/ (- t) z) z)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ 1 (fma (/ y 2.0) (/ (- t) z) z))
63.0ms
(fma (/ y 2.0) (/ (- t) z) z)
69.0ms
(* y (/ 1 (fma (/ y 2.0) (/ (- t) z) z)))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: 3 (268.0ms)

IterNodesCost
01031378
12171238
25381094
313781093
done50001093

prune186.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- t) (/ z (/ y 2.0))) z)
3.6b
(/ (- t) (/ z (/ y 2.0)))
4.4b
(/ y (+ (/ (- t) (/ z (/ y 2.0))) z))

rewrite946.0ms

Algorithm
rewrite-expression-head
Rules
2278×times-frac
1025×*-un-lft-identity
1015×add-sqr-sqrt add-cube-cbrt
445×fma-def
267×distribute-lft-neg-in distribute-rgt-neg-in
89×neg-mul-1
87×div-inv
48×associate-/r*
25×associate-/r/
14×add-exp-log add-cbrt-cube
13×associate-/l*
7×cbrt-undiv div-exp
5×distribute-lft-out add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×neg-sub0 frac-2neg flip3-+ div-sub clear-num flip-+
1×+-commutative associate-+l- distribute-frac-neg sum-log
Counts
3 → 1010
Calls
3 calls:
277.0ms
(+ (/ (- t) (/ z (/ y 2.0))) z)
22.0ms
(/ (- t) (/ z (/ y 2.0)))
356.0ms
(/ y (+ (/ (- t) (/ z (/ y 2.0))) z))

series145.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ (/ (- t) (/ z (/ y 2.0))) z)
29.0ms
(/ (- t) (/ z (/ y 2.0)))
67.0ms
(/ y (+ (/ (- t) (/ z (/ y 2.0))) z))

simplify868.0ms

Counts
1019 → 1019
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
098611734
1253410775
done500010713

prune3.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 1.2b

regimes134.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01315
11813
done1813

end0.0ms

sample498.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid