Details

Time bar (total: 8.7s)

sample83.0ms

Algorithm
intervals
Results
66.0ms430×body80valid

simplify951.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
71686
6586
5291
4185
3108
257
123
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize22.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* z z) (* x x))
16.1b
(/ (- (* z z) (* x x)) y)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×difference-of-squares
4×add-cbrt-cube add-exp-log associate-/l* add-log-exp
3×associate-/r*
2×expm1-log1p-u pow1 flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff div-inv
Counts
2 → 55
Calls
2 calls:
9.0ms
(- (* z z) (* x x))
15.0ms
(/ (- (* z z) (* x x)) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* z z) (* x x))
57.0ms
(/ (- (* z z) (* x x)) y)

simplify469.0ms

Counts
61 → 61
Iterations
IterNodes
done2000
2724
1244
098

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×expm1-log1p-u frac-times cbrt-undiv flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip-- distribute-lft-out
Counts
2 → 87
Calls
2 calls:
18.0ms
(/ (- z x) y)
43.0ms
(* (+ x z) (/ (- z x) y))

series141.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z x) y)
90.0ms
(* (+ x z) (/ (- z x) y))

simplify716.0ms

Counts
93 → 93
Iterations
IterNodes
done2001
21131
1361
0138

prune337.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
9×add-cbrt-cube add-exp-log
7×div-inv associate-/l*
6×flip3-- flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-+ flip-+
Counts
2 → 169
Calls
2 calls:
14.0ms
(/ y (- z x))
33.0ms
(/ (+ z x) (/ y (- z x)))

series110.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ y (- z x))
66.0ms
(/ (+ z x) (/ y (- z x)))

simplify520.0ms

Counts
175 → 175
Iterations
IterNodes
done2000
1606
0233

prune731.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (+ x z) (* (- z x) (/ 1 y)))
0.3b
(* (- z x) (/ 1 y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt frac-times
16×*-un-lft-identity add-cbrt-cube
14×associate-*r*
13×prod-exp
11×times-frac add-cube-cbrt
10×associate-*l/ associate-*r/
9×pow1 associate-*l*
8×flip3-- flip--
7×flip3-+ cbrt-unprod flip-+
4×div-exp pow-prod-down un-div-inv
3×unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u add-log-exp
1×div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 91
Calls
2 calls:
59.0ms
(* (+ x z) (* (- z x) (/ 1 y)))
40.0ms
(* (- z x) (/ 1 y))

series149.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (+ x z) (* (- z x) (/ 1 y)))
55.0ms
(* (- z x) (/ 1 y))

simplify892.0ms

Counts
97 → 97
Iterations
IterNodes
done2000
21773
1479
0170

prune448.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.9s13758×body80valid