Details

Time bar (total: 16.1s)

sample73.0ms

Algorithm
intervals
Results
40.0ms412×body80valid

simplify2.3s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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))

rewrite124.0ms

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:
14.0ms
(+ y (* (/ (+ z x) y) (- x z)))
29.0ms
(/ (+ z x) y)
76.0ms
(* (/ (+ z x) y) (- x z))

series179.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(+ y (* (/ (+ z x) y) (- x z)))
35.0ms
(/ (+ z x) y)
83.0ms
(* (/ (+ z x) y) (- x z))

simplify1.9s

Counts
147 → 147
Iterations
IterNodes
done5001
23602
1620
0222

prune668.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
59.1b
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

series1.6s

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt z)
283.0ms
(cbrt z)
299.0ms
(cbrt z)
772.0ms
(fma (- (cbrt z)) (* (cbrt z) (cbrt z)) (* (cbrt z) (* (cbrt z) (cbrt z))))

simplify627.0ms

Counts
61 → 61
Iterations
IterNodes
done5000
3949
2231
171
040

prune521.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1 (/ y (+ x z))) (- x z)))
0.0b
(/ y (+ x z))
0.2b
(* (/ 1 (/ y (+ x z))) (- x z))
0.8b
(/ 1 (/ y (+ x z)))

rewrite134.0ms

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:
9.0ms
(+ y (* (/ 1 (/ y (+ x z))) (- x z)))
15.0ms
(/ y (+ x z))
83.0ms
(* (/ 1 (/ y (+ x z))) (- x z))
14.0ms
(/ 1 (/ y (+ x z)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ y (* (/ 1 (/ y (+ x z))) (- x z)))
54.0ms
(/ y (+ x z))
113.0ms
(* (/ 1 (/ y (+ x z))) (- x z))
38.0ms
(/ 1 (/ y (+ x z)))

simplify615.0ms

Counts
300 → 300
Iterations
IterNodes
done5000
11074
0373

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
162×*-un-lft-identity
118×add-sqr-sqrt
80×add-cube-cbrt
22×associate-/r* distribute-lft-out
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 associate-/l/
1×+-commutative sum-log flip3-- div-sub flip--
Counts
3 → 184
Calls
3 calls:
6.0ms
(+ y (* (/ 1 (/ 1 1)) (/ (- x z) (/ y (+ x z)))))
17.0ms
(/ y (+ x z))
51.0ms
(/ (- x z) (/ y (+ x z)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ y (* (/ 1 (/ 1 1)) (/ (- x z) (/ y (+ x z)))))
43.0ms
(/ y (+ x z))
62.0ms
(/ (- x z) (/ y (+ x z)))

simplify1.9s

Counts
193 → 193
Iterations
IterNodes
done5000
24912
1822
0260

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes310.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
221
119
014

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s13439×body80valid