Details

Time bar (total: 11.3s)

sample30.0ms

Algorithm
intervals
Results
12.0ms272×body80valid

simplify287.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4779
51099
61389
71559
81709
91779
101839
111859
done1859

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.1b
(* (/ (- x y) (- z y)) t)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
24.0ms
(/ (- x y) (- z y))
48.0ms
(* (/ (- x y) (- z y)) t)

series177.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- x y) (- z y))
120.0ms
(* (/ (- x y) (- z y)) t)

simplify986.0ms

Counts
112 → 112
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01471339
13811303
214761225
done50011219

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (- x y))
14.0ms
(cbrt (- z y))
6.0ms
(cbrt (- z y))
6.0ms
(cbrt (- z y))

series813.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (- x y))
209.0ms
(cbrt (- z y))
215.0ms
(cbrt (- z y))
209.0ms
(cbrt (- z y))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0118784
1242760
2621728
32143676
done5001628

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
1.1b
(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
142×associate-*l*
129×add-sqr-sqrt
115×*-un-lft-identity
104×cbrt-div
102×cbrt-prod
66×associate-/r/
59×add-cube-cbrt
52×flip3-- flip--
32×frac-times
28×distribute-lft-out-- difference-of-squares
18×add-exp-log
17×associate-*l/
16×associate-*r/
13×add-cbrt-cube
9×div-inv
6×pow1
5×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
1×pow-prod-down *-commutative
Counts
4 → 221
Calls
4 calls:
4.0ms
(cbrt (- z y))
7.0ms
(cbrt (- z y))
5.0ms
(cbrt (- z y))
181.0ms
(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

series730.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt (- z y))
152.0ms
(cbrt (- z y))
208.0ms
(cbrt (- z y))
159.0ms
(* (/ (/ (- x y) (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))) t)

simplify1.5s

Counts
233 → 233
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02964150
17283973
227643559
done50013387

prune978.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b
(* t (/ (- x y) (- z y)))
6.0b
(cbrt (* t (/ (- x y) (- z y))))
6.0b
(cbrt (* t (/ (- x y) (- z y))))
6.0b
(cbrt (* t (/ (- x y) (- z y))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*r*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 88
Calls
4 calls:
42.0ms
(* t (/ (- x y) (- z y)))
18.0ms
(cbrt (* t (/ (- x y) (- z y))))
13.0ms
(cbrt (* t (/ (- x y) (- z y))))
13.0ms
(cbrt (* t (/ (- x y) (- z y))))

series951.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* t (/ (- x y) (- z y)))
324.0ms
(cbrt (* t (/ (- x y) (- z y))))
290.0ms
(cbrt (* t (/ (- x y) (- z y))))
238.0ms
(cbrt (* t (/ (- x y) (- z y))))

simplify776.0ms

Counts
100 → 100
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
01471258
13601216
213231085
done50001060

prune421.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11631
done1631

end0.0ms

sample1.1s

Algorithm
intervals
Results
360.0ms8710×body80valid