Details

Time bar (total: 18.8s)

sample56.0ms

Algorithm
intervals
Results
41.0ms415×body80valid

simplify2.2s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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)))

rewrite132.0ms

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:
78.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
16.0ms
(/ y (+ z x))
27.0ms
(/ (- x z) (/ y (+ z x)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
60.0ms
(/ y (+ z x))
116.0ms
(/ (- x z) (/ y (+ z x)))

simplify2.0s

Counts
290 → 290
Iterations
IterNodes
done5003
22863
1803
0264

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
17.0ms
(/ (- x z) y)
0.0ms
(fma (/ (- x z) y) (+ z x) y)

series133.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- x z) y)
90.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify1.6s

Counts
58 → 58
Iterations
IterNodes
done5007
31634
2491
1206
096

prune295.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
0.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
22.0ms
(* (- x z) (/ 1 y))

series113.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(fma (* (- x z) (/ 1 y)) (+ z x) y)
38.0ms
(* (- x z) (/ 1 y))

simplify2.3s

Counts
62 → 62
Iterations
IterNodes
done5016
32263
2811
1294
0121

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (- x z) (cbrt y)) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
414×times-frac
280×add-sqr-sqrt *-un-lft-identity
219×cbrt-prod
196×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
34×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
2×div-sub
1×clear-num frac-2neg associate-/l/
Counts
4 → 305
Calls
4 calls:
15.0ms
(/ (/ (- x z) (cbrt y)) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.3s

Counts
4 → 12
Calls
4 calls:
320.0ms
(/ (/ (- x z) (cbrt y)) (cbrt y))
311.0ms
(cbrt y)
301.0ms
(cbrt y)
346.0ms
(cbrt y)

simplify2.1s

Counts
317 → 317
Iterations
IterNodes
done5001
22115
1875
0373

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.2s13641×body80valid