Details

Time bar (total: 21.8s)

sample31.0ms

Algorithm
intervals
Results
14.0ms268×body80valid

simplify989.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014326
123326
237326
365326
4102326
5138326
6164326
7233326
8514326
91412326
done5000326

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
21.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×associate-/r* flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 98
Calls
4 calls:
24.0ms
(* z (- b y))
24.0ms
(* z (- t a))
11.0ms
(+ (* x y) (* z (- t a)))
43.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series609.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (- b y))
56.0ms
(* z (- t a))
67.0ms
(+ (* x y) (* z (- t a)))
436.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts
110 → 110
Iterations

Useful iterations: 2 (470.0ms)

IterNodesCost
016928423
142826412
2159526092
done500226092

prune649.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
0.6b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
20.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×distribute-rgt-in cbrt-undiv associate-+r+ sub-neg distribute-lft-in
3×associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×+-commutative sum-log flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
26.0ms
(* z (- t a))
11.0ms
(+ (* x y) (* z (- t a)))
26.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
32.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* z (- t a))
69.0ms
(+ (* x y) (* z (- t a)))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
374.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.4s

Counts
168 → 168
Iterations

Useful iterations: done (2.3s)

IterNodesCost
024179094
164269522
2333168102
done500166539

prune847.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- b y))
0.5b
(cbrt (- b y))
0.6b
(* (cbrt (- b y)) (cbrt (- b y)))
21.1b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×cbrt-prod
22×add-cube-cbrt
16×cbrt-div
11×pow1
10×swap-sqr
9×times-frac
8×flip3-- pow1/3 associate-*r* associate-*l* add-exp-log flip-- distribute-lft-out--
6×add-cbrt-cube difference-of-squares
4×frac-times add-log-exp unswap-sqr
3×associate-/r* associate-/l*
2×flip3-+ pow-prod-down associate-*l/ associate-*r/ associate-/r/ pow-sqr pow-prod-up flip-+ associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus div-exp prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 117
Calls
4 calls:
5.0ms
(cbrt (- b y))
3.0ms
(cbrt (- b y))
40.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
42.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (- b y))
202.0ms
(cbrt (- b y))
191.0ms
(* (cbrt (- b y)) (cbrt (- b y)))
401.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y)))))

simplify1.6s

Counts
129 → 129
Iterations

Useful iterations: done (1.6s)

IterNodesCost
020352541
148647203
2192840822
done500240402

prune981.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 21.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t a))
0.6b
(cbrt (- t a))
0.6b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
20.8b
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
10×cbrt-prod
8×div-exp
6×flip3-+ flip-+ div-inv associate-/l*
5×pow1
4×cbrt-undiv cbrt-div add-log-exp
2×rec-exp clear-num frac-2neg flip3-- pow1/3 1-exp flip-- distribute-lft-out-- difference-of-squares associate-/l/
1×pow-flip inv-pow
Counts
4 → 145
Calls
4 calls:
3.0ms
(cbrt (- t a))
5.0ms
(cbrt (- t a))
17.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
28.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (- t a))
210.0ms
(cbrt (- t a))
1.2s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))))
399.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))))

simplify3.0s

Counts
157 → 157
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0255104784
166394854
2330370841
done500468731

prune1.7s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 21.2b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 24.0b against oracle of 23.3b and baseline of 24.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014326
119326
done19326

end0.0ms

sample1.4s

Algorithm
intervals
Results
915.0ms8428×body80valid