Details

Time bar (total: 21.6s)

sample30.0ms

Algorithm
intervals
Results
13.0ms306×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 7 (480.0ms)

IterNodesCost
01213
12213
24613
310913
423213
536413
648513
764811
8108111
9245111
done500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* (+ (/ (- x z) y) 0.75) 4.0))
0.0b
(/ (- x z) y)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 associate-/l/
cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
51.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.75) 4.0))
36.0ms
(/ (- x z) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ 1.0 (* (+ (/ (- x z) y) 0.75) 4.0))
51.0ms
(/ (- x z) y)

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0104660
1254628
2691586
32486574
done5002574

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 4.0 (/ (- x z) y))
0.0b
(/ (- x z) y)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
63.0ms
(* 4.0 (/ (- x z) y))
33.0ms
(/ (- x z) y)

series122.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* 4.0 (/ (- x z) y))
51.0ms
(/ (- x z) y)

simplify2.2s

Counts
82 → 82
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
0114831
1270771
2796709
32948709
done5000709

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ 1 (/ y (- x z))))
0.0b
(/ y (- x z))
0.5b
(/ 1 (/ y (- x z)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
185×add-sqr-sqrt
173×*-un-lft-identity
121×add-cube-cbrt
68×associate-*r*
35×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
flip3-- flip--
cbrt-undiv prod-exp
pow1 associate-/l*
unswap-sqr
rec-exp 1-exp
associate-*l* cbrt-unprod add-log-exp
frac-2neg clear-num
pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 242
Calls
3 calls:
97.0ms
(* 4.0 (/ 1 (/ y (- x z))))
23.0ms
(/ y (- x z))
31.0ms
(/ 1 (/ y (- x z)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* 4.0 (/ 1 (/ y (- x z))))
47.0ms
(/ y (- x z))
60.0ms
(/ 1 (/ y (- x z)))

simplify3.4s

Counts
251 → 251
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02963402
16782681
213532396
343092344
done50002344

prune696.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x z))
0.2b
(/ (cbrt 1) (/ 1 (- x z)))
0.3b
(* (/ 4.0 y) (/ (cbrt 1) (/ 1 (- x z))))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
511×times-frac
378×add-sqr-sqrt
322×*-un-lft-identity
224×add-cube-cbrt
141×cbrt-prod
131×associate-*r*
51×add-exp-log
43×distribute-lft-out-- difference-of-squares
30×associate-/r/
26×associate-/r*
25×div-exp add-cbrt-cube
20×unswap-sqr
17×div-inv
14×flip3-- flip--
13×cbrt-undiv associate-*l*
10×prod-exp
associate-/l*
pow1 cbrt-unprod
rec-exp 1-exp
add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 403
Calls
3 calls:
21.0ms
(/ 1 (- x z))
21.0ms
(/ (cbrt 1) (/ 1 (- x z)))
149.0ms
(* (/ 4.0 y) (/ (cbrt 1) (/ 1 (- x z))))

series194.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1 (- x z))
40.0ms
(/ (cbrt 1) (/ 1 (- x z)))
87.0ms
(* (/ 4.0 y) (/ (cbrt 1) (/ 1 (- x z))))

simplify2.6s

Counts
412 → 412
Iterations

Useful iterations: done (2.6s)

IterNodesCost
04527051
112923712
222513452
done50003440

prune689.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.3s

Algorithm
intervals
Results
748.0ms10143×body80valid