Details

Time bar (total: 10.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms275×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
12011
23311
35411
48611
512811
616211
718111
820711
925211
1034211
1145311
1267111
1370111
1470511
done70511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(* y (/ (- z t) (- a t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
10.0ms
(/ (- z t) (- a t))
23.0ms
(* y (/ (- z t) (- a t)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z t) (- a t))
60.0ms
(* y (/ (- z t) (- a t)))

simplify513.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
01381319
13521247
212991165
done50001165

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.6b
(* y (* (- z t) (/ 1 (- a t))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- a t))
24.0ms
(* (- z t) (/ 1 (- a t)))
23.0ms
(* y (* (- z t) (/ 1 (- a t))))

series141.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- a t))
48.0ms
(* (- z t) (/ 1 (- a t)))
60.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify861.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01581456
13871229
215241025
done50001025

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times associate-*l/
4×add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- div-inv
1×associate-*r* *-commutative
Counts
4 → 148
Calls
4 calls:
185.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
5.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))

series952.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
294.0ms
(cbrt (/ (- z t) (- a t)))
299.0ms
(cbrt (/ (- z t) (- a t)))
291.0ms
(cbrt (/ (- z t) (- a t)))

simplify1.6s

Counts
160 → 160
Iterations

Useful iterations: 3 (396.0ms)

IterNodesCost
02083221
14373108
211082611
338782508
done50002508

prune450.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
1.6b
(* y (* (* (cbrt (/ (- z t) (- a t))) (* (cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ (cbrt (- z t)) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))
2.8b
(cbrt (/ (- z t) (- a t)))
2.8b
(cbrt (/ (- z t) (- a t)))

rewrite666.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-prod
68×add-sqr-sqrt *-un-lft-identity
51×times-frac
47×cbrt-div
28×add-cube-cbrt associate-*r/
21×frac-times
20×distribute-lft-out-- difference-of-squares
18×pow1 add-exp-log
15×associate-*l/
12×associate-/r/
11×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 141
Calls
4 calls:
14.0ms
(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
635.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (* (cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ (cbrt (- z t)) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))
5.0ms
(cbrt (/ (- z t) (- a t)))
5.0ms
(cbrt (/ (- z t) (- a t)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))
63.0ms
(* y (* (* (cbrt (/ (- z t) (- a t))) (* (cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ (cbrt (- z t)) (cbrt (- a t)))))) (cbrt (/ (- z t) (- a t)))))
296.0ms
(cbrt (/ (- z t) (- a t)))
303.0ms
(cbrt (/ (- z t) (- a t)))

simplify616.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
03294521
17414432
220963953
done50013953

prune666.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11713
done1713

end0.0ms

sample503.0ms

Algorithm
intervals
Results
255.0ms8721×body80valid
0.0ms1×body2560valid