Details

Time bar (total: 14.7s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify939.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (356.0ms)

IterNodesCost
01317
12617
26217
314817
436017
5167715
done500115

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ (* y t) z))
0.1b
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
0.5b
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
4.3b
(/ (* y t) z)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
11×add-exp-log add-cbrt-cube
7×prod-diff
6×associate-/r* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv div-exp div-inv
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg fma-neg diff-log prod-exp cbrt-unprod fma-udef
Counts
4 → 86
Calls
4 calls:
20.0ms
(- (* z 2.0) (/ (* y t) z))
37.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
1.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
17.0ms
(/ (* y t) z)

series238.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (* z 2.0) (/ (* y t) z))
55.0ms
(/ 2.0 (- (* z 2.0) (/ (* y t) z)))
91.0ms
(fma (- (/ 2.0 (- (* z 2.0) (/ (* y t) z)))) y x)
26.0ms
(/ (* y t) z)

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
01711491
14231386
221831225
done50001225

prune422.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (* y (/ t z)))
0.1b
(/ 2.0 (- (* z 2.0) (* y (/ t z))))
0.5b
(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
4.3b
(* y (/ t z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
11×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg fma-neg diff-log associate-*r/ prod-diff pow-prod-down clear-num *-commutative fma-udef
Counts
4 → 91
Calls
4 calls:
9.0ms
(- (* z 2.0) (* y (/ t z)))
13.0ms
(/ 2.0 (- (* z 2.0) (* y (/ t z))))
0.0ms
(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
14.0ms
(* y (/ t z))

series224.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* z 2.0) (* y (/ t z)))
43.0ms
(/ 2.0 (- (* z 2.0) (* y (/ t z))))
109.0ms
(fma (- (/ 2.0 (- (* z 2.0) (* y (/ t z))))) y x)
24.0ms
(* y (/ t z))

simplify739.0ms

Counts
103 → 103
Iterations

Useful iterations: done (736.0ms)

IterNodesCost
01611342
13851298
213981183
done50011179

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))
0.4b
(/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z))))
0.5b
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))) y x)
4.3b
(* y (/ t z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
50×times-frac
42×add-cube-cbrt *-un-lft-identity
37×associate-*r*
29×sqrt-prod
16×add-exp-log add-cbrt-cube
9×associate-*l*
8×pow1 unswap-sqr
6×associate-/l*
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/r* div-inv
2×flip3-- associate-*r/ pow-prod-down *-commutative flip--
1×frac-2neg clear-num fma-udef
Counts
4 → 139
Calls
4 calls:
53.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))
14.0ms
(/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z))))
0.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))) y x)
15.0ms
(* y (/ t z))

series515.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))
106.0ms
(/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z))))
232.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt 2.0) (- (* z 2.0) (* y (/ t z)))))) y x)
23.0ms
(* y (/ t z))

simplify3.3s

Counts
151 → 151
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01992547
14972440
235672102
done50012078

prune521.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0))))
0.4b
(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))
0.5b
(fma (- (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))) y x)
4.3b
(* y (/ t z))

rewrite532.0ms

Algorithm
rewrite-expression-head
Rules
1138×sqrt-prod
1123×times-frac
664×add-sqr-sqrt
565×add-cube-cbrt *-un-lft-identity
297×associate-*r*
31×associate-/r*
28×unswap-sqr
23×add-exp-log add-cbrt-cube
22×div-inv
9×associate-*l* associate-/l*
8×pow1
7×cbrt-undiv div-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-/r/ *-commutative
1×frac-2neg clear-num fma-udef
Counts
4 → 714
Calls
4 calls:
29.0ms
(/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0))))
413.0ms
(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))
1.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))) y x)
23.0ms
(* y (/ t z))

series465.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0))))
144.0ms
(* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))
212.0ms
(fma (- (* (sqrt 2.0) (/ (sqrt (sqrt 2.0)) (/ (- (* z 2.0) (* y (/ t z))) (sqrt (sqrt 2.0)))))) y x)
31.0ms
(* y (/ t z))

simplify1.3s

Counts
726 → 726
Iterations

Useful iterations: done (1.3s)

IterNodesCost
066921884
1199519972
done500119335

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.4b

regimes221.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
done1615

end0.0ms

sample1.1s

Algorithm
intervals
Results
662.0ms8000×body80valid