Details

Time bar (total: 15.5s)

sample40.0ms

Algorithm
intervals
Results
16.0ms285×body80valid

simplify299.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
117164
225164
349164
477164
5109164
6138164
7155164
8170164
9177164
10183164
11185164
done185164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite121.0ms

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
add-cbrt-cube add-exp-log
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*r* flip--
expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 106
Calls
2 calls:
44.0ms
(/ (- x y) (- z y))
70.0ms
(* (/ (- x y) (- z y)) t)

series258.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ (- x y) (- z y))
177.0ms
(* (/ (- x y) (- z y)) t)

simplify1.2s

Counts
112 → 112
Iterations

Useful iterations: 2 (342.0ms)

IterNodesCost
014727878
138126638
2148126277
done500126277

prune554.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×associate-*r* add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
distribute-lft-out-- difference-of-squares
cbrt-unprod
flip3-- div-exp associate-*l* flip--
associate-/r*
frac-times pow-prod-down associate-/r/
expm1-log1p-u cbrt-undiv rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
associate-*r/ un-div-inv *-commutative div-inv
clear-num frac-2neg pow-flip inv-pow
Counts
3 → 125
Calls
3 calls:
19.0ms
(/ 1 (- z y))
48.0ms
(* (- x y) (/ 1 (- z y)))
86.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series247.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (- z y))
65.0ms
(* (- x y) (/ 1 (- z y)))
136.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify5.1s

Counts
134 → 134
Iterations

Useful iterations: done (5.1s)

IterNodesCost
016732250
142825358
2368122939
done500122697

prune568.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ (- x y) (- z y)) t)
5.1b
(cbrt (* (/ (- x y) (- z y)) t))
5.1b
(cbrt (* (/ (- x y) (- z y)) t))
5.1b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
add-cbrt-cube add-exp-log
pow1
expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp associate-/r/ cbrt-unprod unswap-sqr
cbrt-undiv flip3-- div-exp pow-prod-down *-commutative div-inv flip--
Counts
4 → 88
Calls
4 calls:
56.0ms
(* (/ (- x y) (- z y)) t)
11.0ms
(cbrt (* (/ (- x y) (- z y)) t))
16.0ms
(cbrt (* (/ (- x y) (- z y)) t))
16.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (/ (- x y) (- z y)) t)
372.0ms
(cbrt (* (/ (- x y) (- z y)) t))
398.0ms
(cbrt (* (/ (- x y) (- z y)) t))
353.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify1.1s

Counts
100 → 100
Iterations

Useful iterations: done (1.1s)

IterNodesCost
016331477
138330573
2128729767
done500029167

prune630.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.7b
(* (- x y) (/ t (- z y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
add-cbrt-cube add-exp-log
distribute-lft-out-- difference-of-squares
associate-/r* associate-*l*
pow1 flip3-- associate-/r/ flip--
associate-/l*
expm1-log1p-u frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 87
Calls
2 calls:
14.0ms
(/ t (- z y))
58.0ms
(* (- x y) (/ t (- z y)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ t (- z y))
93.0ms
(* (- x y) (/ t (- z y)))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
013421727
132519565
2170519202
done500019122

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes569.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
19164
done9164

end0.0ms

sample1.0s

Algorithm
intervals
Results
389.0ms8745×body80valid