Details

Time bar (total: 26.1s)

sample52.0ms

Algorithm
intervals
Results
21.0ms272×body80valid
1.0msbody1280valid
0.0msbody2560valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01313
12213
23912
36712
412212
520112
629312
736112
850412
997212
10318212
done500012

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

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)))
0.5b
(/ (* 60.0 (- x y)) (- z t))

rewrite87.0ms

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
pow1 times-frac associate-*r* associate-/r*
associate-*r/
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
frac-2neg pow-prod-down clear-num *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
3 → 87
Calls
3 calls:
42.0ms
(* 60.0 (- x y))
0.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
40.0ms
(/ (* 60.0 (- x y)) (- z t))

series270.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* 60.0 (- x y))
136.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
89.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts
96 → 96
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01801315
14421132
21837942
done5001910

prune476.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))

rewrite113.0ms

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
pow1 associate-/r* associate-/l*
associate-/r/
expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u add-log-exp
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
3 → 116
Calls
3 calls:
35.0ms
(/ (- x y) (- z t))
0.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
70.0ms
(* 60.0 (/ (- x y) (- z t)))

series324.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (- x y) (- z t))
141.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
97.0ms
(* 60.0 (/ (- x y) (- z t)))

simplify1.1s

Counts
125 → 125
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01641547
14201484
216181370
done50001366

prune751.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- x y))
0.0b
(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.7b
(/ 60.0 (/ (- z t) (- x y)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
associate-/l*
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num associate-/l/
div-sub fma-udef
Counts
3 → 208
Calls
3 calls:
48.0ms
(/ (- z t) (- x y))
0.0ms
(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
38.0ms
(/ 60.0 (/ (- z t) (- x y)))

series645.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (- z t) (- x y))
150.0ms
(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
408.0ms
(/ 60.0 (/ (- z t) (- x y)))

simplify1.9s

Counts
217 → 217
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02943708
17773522
239283360
done50003352

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 120.0 a (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0))))
0.3b
(/ (/ (- z t) (- x y)) (cbrt 60.0))
0.7b
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0)))
1.0b
(* (cbrt 60.0) (cbrt 60.0))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
1223×times-frac
799×add-sqr-sqrt
791×*-un-lft-identity
411×add-cube-cbrt
298×cbrt-prod
196×associate-/r*
190×distribute-lft-out-- difference-of-squares
39×associate-/r/
32×add-exp-log associate-/l*
23×div-inv
19×flip3-- flip--
18×add-cbrt-cube
15×cbrt-undiv div-exp
11×pow1
pow1/3 swap-sqr associate-*r* associate-*l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
frac-2neg div-sub pow-prod-down clear-num pow-sqr pow-prod-up
pow2 pow-plus *-commutative fma-udef associate-/l/
Counts
4 → 699
Calls
4 calls:
1.0ms
(fma 120.0 a (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0))))
75.0ms
(/ (/ (- z t) (- x y)) (cbrt 60.0))
139.0ms
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0)))
24.0ms
(* (cbrt 60.0) (cbrt 60.0))

series1.3s

Counts
4 → 10
Calls
4 calls:
322.0ms
(fma 120.0 a (/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0))))
326.0ms
(/ (/ (- z t) (- x y)) (cbrt 60.0))
697.0ms
(/ (* (cbrt 60.0) (cbrt 60.0)) (/ (/ (- z t) (- x y)) (cbrt 60.0)))
0.0ms
(* (cbrt 60.0) (cbrt 60.0))

simplify2.7s

Counts
709 → 709
Iterations

Useful iterations: done (2.6s)

IterNodesCost
078016331
1235715348
done500014995

prune5.7s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes1.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s8601×body80valid
46.0ms30×body640valid
24.0ms55×body1280valid
10.0ms22×body2560valid
4.0ms18×body320valid
2.0ms10×body160valid