Details

Time bar (total: 17.4s)

sample66.0ms

Algorithm
intervals
Results
34.0ms429×body80valid

simplify2.2s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite185.0ms

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 log1p-expm1-u
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative sum-log flip3-- associate-+l- flip--
Counts
3 → 278
Calls
3 calls:
129.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
9.0ms
(/ y (+ z x))
31.0ms
(/ (- x z) (/ y (+ z x)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (/ (- x z) (/ y (+ z x))) y)
42.0ms
(/ y (+ z x))
65.0ms
(/ (- x z) (/ y (+ z x)))

simplify1.6s

Counts
287 → 287
Iterations
IterNodes
done5028
22841
1800
0261

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
32×add-exp-log
26×add-cube-cbrt
20×add-cbrt-cube
18×associate-*r*
11×fma-def div-exp
8×prod-exp associate-/r/ distribute-lft-out associate-/l*
7×pow1
6×cbrt-undiv add-log-exp
5×associate-/r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv
3×rec-exp flip3-+ 1-exp associate-*l* associate-*r/ un-div-inv flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative sum-log flip3-- pow-prod-down *-commutative associate-+l- pow-flip flip-- inv-pow
Counts
4 → 144
Calls
4 calls:
55.0ms
(+ (/ (- x z) (* y (/ 1 (+ z x)))) y)
14.0ms
(/ 1 (+ z x))
24.0ms
(/ (- x z) (* y (/ 1 (+ z x))))
42.0ms
(* y (/ 1 (+ z x)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (/ (- x z) (* y (/ 1 (+ z x)))) y)
49.0ms
(/ 1 (+ z x))
97.0ms
(/ (- x z) (* y (/ 1 (+ z x))))
38.0ms
(* y (/ 1 (+ z x)))

simplify2.1s

Counts
156 → 156
Iterations
IterNodes
done5002
21856
1481
0184

prune831.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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 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 → 50
Calls
2 calls:
27.0ms
(/ (- x z) y)
1.0ms
(fma (/ (- x z) y) (+ z x) y)

series149.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- x z) y)
116.0ms
(fma (/ (- x z) y) (+ z x) y)

simplify1.6s

Counts
56 → 56
Iterations
IterNodes
done5003
31565
2487
1204
094

prune327.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- (* x x) (* z z)) y) y)
0.9b
(- (* x x) (* z z))
11.1b
(/ (- (* x x) (* z z)) y)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
16×fma-def
8×difference-of-squares
7×add-log-exp
5×add-cbrt-cube add-exp-log
4×associate-/l*
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u
2×flip3-- div-sub div-inv flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff associate-+l- flip-+ distribute-lft-out
Counts
3 → 84
Calls
3 calls:
38.0ms
(+ (/ (- (* x x) (* z z)) y) y)
11.0ms
(- (* x x) (* z z))
29.0ms
(/ (- (* x x) (* z z)) y)

series237.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (/ (- (* x x) (* z z)) y) y)
66.0ms
(- (* x x) (* z z))
85.0ms
(/ (- (* x x) (* z z)) y)

simplify2.8s

Counts
93 → 93
Iterations
IterNodes
done5000
34247
2907
1306
0119

prune613.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes344.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s13545×body80valid