Details

Time bar (total: 15.6s)

sample36.0ms

Algorithm
intervals
Results
12.0ms264×body80valid
1.0ms3×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01313
12213
23912
36712
411812
516912
622512
728212
835712
945512
1056412
1163912
1270212
1373012
done73012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 60.0 (- x y))
0.0b
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.9b
(/ (* 60.0 (- x y)) (- z t))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 times-frac associate-*r* associate-/r*
4×associate-*r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
3 → 87
Calls
3 calls:
31.0ms
(* 60.0 (- x y))
0.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
30.0ms
(/ (* 60.0 (- x y)) (- z t))

series258.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* 60.0 (- x y))
124.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
91.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01801315
13911126
21113934
done5001910

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- z t))
0.0b
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.3b
(* 60.0 (/ (- x y) (- z t)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l*
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 116
Calls
3 calls:
38.0ms
(/ (- x y) (- z t))
1.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
76.0ms
(* 60.0 (/ (- x y) (- z t)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (- x y) (- z t))
116.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
72.0ms
(* 60.0 (/ (- x y) (- z t)))

simplify2.0s

Counts
125 → 125
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
01641547
13911472
210561362
331611362
done50001362

prune398.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 60.0 (- z t))
0.0b
(fma 120.0 a (* 1 (* (- x y) (/ 60.0 (- z t)))))
0.2b
(* (- x y) (/ 60.0 (- z t)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 97
Calls
3 calls:
11.0ms
(/ 60.0 (- z t))
0.0ms
(fma 120.0 a (* 1 (* (- x y) (/ 60.0 (- z t)))))
46.0ms
(* (- x y) (/ 60.0 (- z t)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 60.0 (- z t))
100.0ms
(fma 120.0 a (* 1 (* (- x y) (/ 60.0 (- z t)))))
68.0ms
(* (- x y) (/ 60.0 (- z t)))

simplify3.2s

Counts
106 → 106
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01581225
13471152
212291050
348331050
done50001050

prune514.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x y) (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0))))
0.3b
(/ (- z t) (cbrt 60.0))
0.3b
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0)))
1.0b
(* (cbrt 60.0) (cbrt 60.0))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
193×times-frac
154×add-sqr-sqrt
136×*-un-lft-identity
84×add-cube-cbrt
80×cbrt-prod
45×associate-*r*
40×associate-/r*
38×add-exp-log
26×distribute-lft-out-- difference-of-squares
23×add-cbrt-cube
13×pow1 cbrt-undiv div-exp
11×associate-*l*
10×prod-exp cbrt-unprod
8×unswap-sqr
6×pow1/3 swap-sqr div-inv associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down flip--
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ pow-sqr *-commutative pow-prod-up associate-/l/
1×pow2 pow-plus div-sub associate-*r/
Counts
4 → 264
Calls
4 calls:
110.0ms
(* (- x y) (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0))))
37.0ms
(/ (- z t) (cbrt 60.0))
35.0ms
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0)))
12.0ms
(* (cbrt 60.0) (cbrt 60.0))

series405.0ms

Counts
4 → 10
Calls
4 calls:
161.0ms
(* (- x y) (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0))))
113.0ms
(/ (- z t) (cbrt 60.0))
131.0ms
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (- z t) (cbrt 60.0)))
0.0ms
(* (cbrt 60.0) (cbrt 60.0))

simplify2.2s

Counts
274 → 274
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03114123
17493849
233803375
done50003189

prune1.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes356.0ms

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
01414
11812
done1812

end0.0ms

sample1.0s

Algorithm
intervals
Results
444.0ms8521×body80valid
10.0ms41×body1280valid
6.0ms34×body640valid
5.0ms20×body2560valid
2.0ms14×body320valid
1.0ms12×body160valid
0.0ms1×body5120valid