Details

Time bar (total: 17.1s)

sample54.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
6.0ms253×pre80false
6.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0813
12913
215411
335511
done500111

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* a a) (* b b))
11.9b
(/ (- (* a a) (* b b)) (* a a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l* add-log-exp
3×difference-of-squares
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp flip-- log1p-expm1-u associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 45
Calls
2 calls:
19.0ms
(- (* a a) (* b b))
27.0ms
(/ (- (* a a) (* b b)) (* a a))

series119.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* a a) (* b b))
75.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify2.1s

Counts
51 → 51
Iterations

Useful iterations: done (2.1s)

IterNodesCost
079684
1878619
done5002543

prune168.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))
0.1b
(/ (- a b) a)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
65×add-sqr-sqrt
58×times-frac
39×add-cube-cbrt
19×add-exp-log associate-*r* add-cbrt-cube
16×associate-*l*
9×associate-/l*
7×distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times flip3-- flip3-+ div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
3 → 136
Calls
3 calls:
25.0ms
(/ (+ a b) a)
108.0ms
(* (/ (+ a b) a) (/ (- a b) a))
19.0ms
(/ (- a b) a)

series158.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (+ a b) a)
85.0ms
(* (/ (+ a b) a) (/ (- a b) a))
49.0ms
(/ (- a b) a)

simplify4.4s

Counts
145 → 145
Iterations

Useful iterations: done (4.4s)

IterNodesCost
01711718
136521654
done50011502

prune498.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ a (- a b))
0.0b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
0.0b
(/ 1 (/ a (- a b)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
221×add-sqr-sqrt
206×*-un-lft-identity
138×add-cube-cbrt
68×associate-*r*
64×add-exp-log
34×add-cbrt-cube
30×div-exp
29×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
16×associate-*l*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
8×flip3-- flip--
7×pow1 distribute-lft-out
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip flip3-+ associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 313
Calls
4 calls:
20.0ms
(/ (+ a b) a)
16.0ms
(/ a (- a b))
160.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
25.0ms
(/ 1 (/ a (- a b)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (+ a b) a)
65.0ms
(/ a (- a b))
74.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
49.0ms
(/ 1 (/ a (- a b)))

simplify805.0ms

Counts
325 → 325
Iterations

Useful iterations: done (796.0ms)

IterNodesCost
03664840
done50004302

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ 1 (/ b a)) (/ (- a b) a))
0.1b
(/ (- a b) a)

rewrite109.0ms

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-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv expm1-log1p-u frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 85
Calls
2 calls:
77.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
28.0ms
(/ (- a b) a)

series127.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
57.0ms
(/ (- a b) a)

simplify618.0ms

Counts
91 → 91
Iterations

Useful iterations: done (616.0ms)

IterNodesCost
01331136
done50011041

prune369.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample1.9s

Algorithm
intervals
Results
604.0ms8000×pre80true
404.0ms8000×body80valid
208.0ms8039×pre80false