Details

Time bar (total: 39.1s)

sample76.0ms

Algorithm
intervals
Results
32.0ms410×body80valid

simplify4.1s

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite354.0ms

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:
233.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
16.0ms
(/ y (+ z x))
46.0ms
(/ (- x z) (/ y (+ z x)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
69.0ms
(/ y (+ z x))
107.0ms
(/ (- x z) (/ y (+ z x)))

simplify4.1s

Counts
290 → 290
Iterations
IterNodes
done5001
22825
1805
0264

prune3.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
26.0ms
(/ (- x z) y)
1.0ms
(fma (/ (- x z) y) (+ z x) y)

series161.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- x z) y)
110.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify2.9s

Counts
58 → 58
Iterations
IterNodes
done5015
31629
2487
1206
096

prune684.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:
1.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
56.0ms
(* (- x z) (/ 1 y))

series180.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
61.0ms
(* (- x z) (/ 1 y))

simplify5.1s

Counts
62 → 62
Iterations
IterNodes
done5005
32293
2817
1294
0121

prune749.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
0.0b
(/ y (+ z x))
0.3b
(/ (/ y (+ z x)) (- x z))
0.6b
(/ 1 (/ (/ y (+ z x)) (- x z)))

rewrite990.0ms

Algorithm
rewrite-expression-head
Rules
1800×times-frac
1234×*-un-lft-identity
977×add-sqr-sqrt
687×add-cube-cbrt
293×fma-def
145×distribute-lft-out-- difference-of-squares
129×distribute-lft-out
105×associate-/r*
102×associate-/r/
53×div-inv
43×flip3-+ flip-+
32×add-exp-log
24×associate-/l*
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
8×flip3-- flip--
6×add-log-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp
1×+-commutative sum-log pow-flip inv-pow associate-/l/
Counts
4 → 893
Calls
4 calls:
589.0ms
(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
18.0ms
(/ y (+ z x))
62.0ms
(/ (/ y (+ z x)) (- x z))
97.0ms
(/ 1 (/ (/ y (+ z x)) (- x z)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (/ 1 (/ (/ y (+ z x)) (- x z))) y)
49.0ms
(/ y (+ z x))
99.0ms
(/ (/ y (+ z x)) (- x z))
161.0ms
(/ 1 (/ (/ y (+ z x)) (- x z)))

simplify3.9s

Counts
905 → 905
Iterations
IterNodes
done5000
11934
0670

prune8.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes921.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s13666×body80valid