Details

Time bar (total: 20.0s)

sample39.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms256×pre80true
5.0ms253×pre80false

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0813
11913
24811
310111
419811
537611
661811
7165311
done500111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
16.0ms
(- (* a a) (* b b))
36.0ms
(/ (- (* a a) (* b b)) (* a a))

series123.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(- (* a a) (* b b))
64.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify2.5s

Counts
51 → 51
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
079684
1207618
2675528
33336519
done5001519

prune185.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff associate-/r* log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 86
Calls
3 calls:
40.0ms
(/ (- a (* b (/ b a))) a)
13.0ms
(- a (* b (/ b a)))
22.0ms
(* b (/ b a))

series131.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (- a (* b (/ b a))) a)
36.0ms
(- a (* b (/ b a)))
27.0ms
(* b (/ b a))

simplify3.4s

Counts
95 → 95
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01361086
13151029
2884934
32810924
done5002894

prune374.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite162.0ms

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:
39.0ms
(/ (+ a b) a)
81.0ms
(* (/ (+ a b) a) (/ (- a b) a))
31.0ms
(/ (- a b) a)

series176.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ a b) a)
82.0ms
(* (/ (+ a b) a) (/ (- a b) a))
57.0ms
(/ (- a b) a)

simplify1.7s

Counts
145 → 145
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01711718
14631654
217291499
done50011498

prune616.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite135.0ms

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:
87.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
44.0ms
(/ (- a b) a)

series168.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
59.0ms
(/ (- a b) a)

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
01331136
13361043
21295950
done5000950

prune309.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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
0811
1911
done911

end0.0ms

sample1.7s

Algorithm
intervals
Results
411.0ms8000×body80valid
271.0ms8000×pre80true
204.0ms8039×pre80false