Details

Time bar (total: 30.7s)

sample27.0ms

Algorithm
intervals
Results
6.0ms229×body80valid
4.0ms31×body1280valid
4.0ms40×body640valid
2.0ms25×body320valid
1.0msbody2560valid
1.0ms13×body160valid

simplify25.8s

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
0915
12115
2727
31875
45645
522385
done50005

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))

rewrite14.0ms

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:
12.0ms
(* y (- x z))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* y (- x z))

simplify1.2s

Counts
49 → 49
Iterations

Useful iterations: 3 (244.0ms)

IterNodesCost
0102721
1191548
2438438
31581396
done5000396

prune53.0ms

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))))
3.0b
(sqrt (* y (- x z)))
3.0b
(sqrt (* y (- x z)))

rewrite65.0ms

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:
11.0ms
(* y (- x z))
26.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
10.0ms
(sqrt (* y (- x z)))
10.0ms
(sqrt (* y (- x z)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* y (- x z))
106.0ms
(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
58.0ms
(sqrt (* y (- x z)))
56.0ms
(sqrt (* y (- x z)))

simplify2.2s

Counts
147 → 147
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01811945
13371406
28881240
335951140
done50011136

prune243.0ms

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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample716.0ms

Algorithm
intervals
Results
188.0ms7015×body80valid
124.0ms949×body1280valid
102.0ms957×body640valid
46.0ms610×body320valid
37.0ms228×body2560valid
17.0ms349×body160valid