Details

Time bar (total: 16.0s)

sample28.0ms

Algorithm
intervals
Results
6.0ms215×body80valid
4.0ms31×body1280valid
3.0ms27×body640valid
2.0ms22×body320valid
1.0msbody2560valid
1.0ms12×body160valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 5 (733.0ms)

IterNodesCost
0915
12313
27511
32029
44377
57695
616645
done50015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
22.0ms
(* y (- x z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* y (- x z))

simplify1.1s

Counts
49 → 49
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0102721
1192548
2415438
31735396
done5001342

prune54.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
8.0ms
(+ (* y x) (* y (- z)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(+ (* y x) (* y (- z)))

simplify1.8s

Counts
20 → 20
Iterations

Useful iterations: done (1.8s)

IterNodesCost
034206
1115146
2452133
31843129
done5000127

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma y x (* y (- z)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y x (* y (- z)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma y x (* y (- z)))

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
019120
12990
27180
330580
4143580
done500180

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.2b
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
2.8b
(sqrt (* y (- x z)))
2.8b
(sqrt (* y (- x z)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
28×add-sqr-sqrt
24×*-un-lft-identity
23×pow-prod-down
22×add-cube-cbrt
20×associate-*r/
18×prod-diff
16×sqrt-div
12×pow1/2
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
flip3-- associate-*r* flip--
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
23.0ms
(* y (- x z))
53.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
18.0ms
(sqrt (* y (- x z)))
16.0ms
(sqrt (* y (- x z)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* y (- x z))
108.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
56.0ms
(sqrt (* y (- x z)))
60.0ms
(sqrt (* y (- x z)))

simplify3.0s

Counts
147 → 147
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01811945
13381406
28671232
336781140
done50011080

prune229.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3147
done147

end0.0ms

sample822.0ms

Algorithm
intervals
Results
201.0ms6961×body80valid
131.0ms997×body1280valid
95.0ms956×body640valid
48.0ms605×body320valid
35.0ms210×body2560valid
18.0ms351×body160valid