Details

Time bar (total: 17.9s)

sample62.0ms

Algorithm
intervals
Results
29.0ms269×body80valid
1.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize19.0ms

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)))
0.7b
(/ (* 60.0 (- x y)) (- z t))

rewrite70.0ms

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:
26.0ms
(* 60.0 (- x y))
0.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
34.0ms
(/ (* 60.0 (- x y)) (- z t))

series223.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* 60.0 (- x y))
113.0ms
(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
75.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01801315
14421132
21837942
done5001910

prune290.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize21.0ms

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)))

rewrite110.0ms

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:
24.0ms
(/ (- x y) (- z t))
0.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
81.0ms
(* 60.0 (/ (- x y) (- z t)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ (- x y) (- z t))
123.0ms
(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
104.0ms
(* 60.0 (/ (- x y) (- z t)))

simplify1.1s

Counts
125 → 125
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01641547
14201484
216181370
done50001366

prune384.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt
75×*-un-lft-identity
52×times-frac
32×associate-*r*
31×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
20×add-exp-log add-cbrt-cube
12×associate-*l*
11×pow1
8×sqrt-prod
7×prod-exp cbrt-unprod
5×associate-/r* associate-/l*
4×expm1-log1p-u pow-prod-down associate-/r/ log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv flip3-- associate-*r/ div-exp flip--
2×*-commutative div-inv associate-/l/
1×frac-2neg div-sub clear-num fma-udef
Counts
4 → 147
Calls
4 calls:
25.0ms
(/ (- x y) (- z t))
0.0ms
(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
60.0ms
(* (sqrt 60.0) (/ (- x y) (- z t)))
63.0ms
(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

series934.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (- x y) (- z t))
390.0ms
(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
154.0ms
(* (sqrt 60.0) (/ (- x y) (- z t)))
287.0ms
(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

simplify1.7s

Counts
159 → 159
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01902213
14952100
225551794
done50011768

prune591.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 120.0 a (* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))))
0.2b
(* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))
0.3b
(* (sqrt 60.0) (/ (- x y) (- z t)))
0.3b
(* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t)))))

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log add-sqr-sqrt
40×*-un-lft-identity
33×associate-*r* add-cbrt-cube
32×pow1
29×prod-exp cbrt-unprod
27×times-frac
20×add-cube-cbrt
19×pow-prod-down
16×associate-*l*
10×distribute-lft-out-- difference-of-squares
8×sqrt-prod
6×cbrt-prod associate-*r/
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×associate-/r/
1×flip3-- flip-- fma-udef div-inv
Counts
4 → 131
Calls
4 calls:
1.0ms
(fma 120.0 a (* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))))
90.0ms
(* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))
61.0ms
(* (sqrt 60.0) (/ (- x y) (- z t)))
250.0ms
(* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t)))))

series2.1s

Counts
4 → 12
Calls
4 calls:
805.0ms
(fma 120.0 a (* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))))
800.0ms
(* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t))))
196.0ms
(* (sqrt 60.0) (/ (- x y) (- z t)))
330.0ms
(* (* (cbrt (sqrt 60.0)) (cbrt (sqrt 60.0))) (* (cbrt (sqrt 60.0)) (* (sqrt 60.0) (/ (- x y) (- z t)))))

simplify2.5s

Counts
143 → 143
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01922732
15142598
227251929
done50021598

prune583.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes422.0ms

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: 0 (0.0ms)

IterNodesCost
01212
11312
done1312

end0.0ms

sample1.5s

Algorithm
intervals
Results
729.0ms8465×body80valid
41.0ms51×body640valid
17.0ms50×body1280valid
9.0ms21×body2560valid
3.0ms17×body320valid
2.0ms11×body160valid