Details

Time bar (total: 37.7s)

sample72.0ms

Algorithm
intervals
Results
40.0ms429×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5000
71686
6586
5291
4185
3108
257
123
011

prune61.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize112.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- x z) (/ y (+ z x))) y)
0.0b
(/ y (+ z x))
0.3b
(/ (- x z) (/ y (+ z x)))

rewrite537.0ms

Algorithm
rewrite-expression-head
Rules
324×times-frac
288×*-un-lft-identity
212×add-sqr-sqrt
138×add-cube-cbrt
95×fma-def
38×distribute-lft-out
37×distribute-lft-out-- difference-of-squares
26×associate-/r/
22×associate-/r*
14×div-inv
13×flip3-+ flip-+
10×add-cbrt-cube add-exp-log
8×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative sum-log flip3-- associate-+l- flip--
Counts
3 → 281
Calls
3 calls:
372.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
30.0ms
(/ y (+ z x))
94.0ms
(/ (- x z) (/ y (+ z x)))

series244.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
42.0ms
(/ y (+ z x))
126.0ms
(/ (- x z) (/ y (+ z x)))

simplify4.9s

Counts
290 → 290
Iterations
IterNodes
done5001
22825
1805
0264

prune3.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize95.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.1b
(fma (/ (- x z) y) (+ z x) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
68.0ms
(/ (- x z) y)
1.0ms
(fma (/ (- x z) y) (+ z x) y)

series189.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- x z) y)
138.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify3.4s

Counts
58 → 58
Iterations
IterNodes
done5015
31629
2487
1206
096

prune763.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z x))
0.0b
(/ y (+ z x))
0.2b
(/ z (/ y (+ z x)))
0.3b
(/ x (/ y (+ z x)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
188×*-un-lft-identity
124×add-sqr-sqrt add-cube-cbrt
44×associate-/r*
32×distribute-lft-out
22×associate-/r/
18×add-cbrt-cube add-exp-log
12×div-inv associate-/l*
10×flip3-+ flip-+
8×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 258
Calls
4 calls:
28.0ms
(/ y (+ z x))
45.0ms
(/ y (+ z x))
69.0ms
(/ z (/ y (+ z x)))
58.0ms
(/ x (/ y (+ z x)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ y (+ z x))
65.0ms
(/ y (+ z x))
67.0ms
(/ z (/ y (+ z x)))
59.0ms
(/ x (/ y (+ z x)))

simplify5.5s

Counts
270 → 270
Iterations
IterNodes
done5015
22901
1783
0305

prune3.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (* (- x z) (/ 1 y)) (+ z x) y)
0.3b
(* (- x z) (/ 1 y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
3.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
93.0ms
(* (- x z) (/ 1 y))

series200.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
57.0ms
(* (- x z) (/ 1 y))

simplify5.7s

Counts
62 → 62
Iterations
IterNodes
done5005
32293
2817
1294
0121

prune679.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes760.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s13651×body80valid