Details

Time bar (total: 18.5s)

sample56.0ms

Algorithm
intervals
Results
31.0ms455×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* (/ (+ z x) y) (- x z)))
0.0b
(/ (+ z x) y)
0.2b
(* (/ (+ z x) y) (- x z))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
53×add-sqr-sqrt
46×add-cube-cbrt
36×prod-diff
25×times-frac
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×associate-*l*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×pow1 associate-*r* add-log-exp
4×sub-neg associate-/l*
3×expm1-log1p-u associate-/r* fma-def log1p-expm1-u
2×frac-times cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-*r/ cbrt-unprod flip-+ div-inv flip-- unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 138
Calls
3 calls:
9.0ms
(+ y (* (/ (+ z x) y) (- x z)))
16.0ms
(/ (+ z x) y)
45.0ms
(* (/ (+ z x) y) (- x z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ y (* (/ (+ z x) y) (- x z)))
29.0ms
(/ (+ z x) y)
75.0ms
(* (/ (+ z x) y) (- x z))

simplify2.2s

Counts
147 → 147
Iterations
IterNodes
done5001
23602
1620
0222

prune959.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1 (/ y (+ z x))) (- x z)))
0.0b
(/ y (+ z x))
0.2b
(* (/ 1 (/ y (+ z x))) (- x z))
0.4b
(/ 1 (/ y (+ z x)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
187×*-un-lft-identity
149×add-sqr-sqrt
133×add-cube-cbrt
59×associate-*l*
36×prod-diff add-exp-log
25×distribute-lft-out
22×distribute-rgt-in associate-+r+ associate-/r* distribute-lft-in
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-+ flip-+
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×associate-*r* unswap-sqr
4×expm1-log1p-u rec-exp sub-neg 1-exp log1p-expm1-u
3×fma-def cbrt-unprod
2×frac-times clear-num frac-2neg flip3-- associate-*r/ flip--
1×+-commutative sum-log pow-prod-down associate-*l/ *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 288
Calls
4 calls:
11.0ms
(+ y (* (/ 1 (/ y (+ z x))) (- x z)))
18.0ms
(/ y (+ z x))
79.0ms
(* (/ 1 (/ y (+ z x))) (- x z))
24.0ms
(/ 1 (/ y (+ z x)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ y (* (/ 1 (/ y (+ z x))) (- x z)))
51.0ms
(/ y (+ z x))
119.0ms
(* (/ 1 (/ y (+ z x))) (- x z))
36.0ms
(/ 1 (/ y (+ z x)))

simplify1.1s

Counts
300 → 300
Iterations
IterNodes
done5000
11088
0377

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (- x z) (/ y (+ z x))))
0.0b
(/ y (+ z x))
0.2b
(/ (- x z) (/ y (+ z x)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
164×*-un-lft-identity
118×add-sqr-sqrt
80×add-cube-cbrt
23×distribute-lft-out
22×associate-/r*
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
10×add-cbrt-cube add-exp-log
8×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 fma-def log1p-expm1-u
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative associate-+r- sum-log flip3-- flip--
Counts
3 → 186
Calls
3 calls:
70.0ms
(+ y (/ (- x z) (/ y (+ z x))))
9.0ms
(/ y (+ z x))
54.0ms
(/ (- x z) (/ y (+ z x)))

series249.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ y (/ (- x z) (/ y (+ z x))))
63.0ms
(/ y (+ z x))
111.0ms
(/ (- x z) (/ y (+ z x)))

simplify2.0s

Counts
195 → 195
Iterations
IterNodes
done5000
24354
1803
0261

prune950.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt x) (cbrt x))
276.0ms
(cbrt x)
272.0ms
(cbrt x)
274.0ms
(cbrt x)

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune688.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes339.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s13509×body80valid