Details

Time bar (total: 17.4s)

sample51.0ms

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

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0813
11813
24711
39811
418711
533211
649811
7140811
done500111

prune10.0ms

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))

rewrite38.0ms

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 flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
2 → 39
Calls
2 calls:
11.0ms
(- (* a a) (* b b))
25.0ms
(/ (- (* a a) (* b b)) (* a a))

series134.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- (* a a) (* b b))
86.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify2.5s

Counts
45 → 45
Iterations

Useful iterations: 3 (990.0ms)

IterNodesCost
072626
1197570
2619484
33135476
done5002476

prune184.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×associate-*l* associate-/r* 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 → 74
Calls
3 calls:
22.0ms
(/ (- a (* b (/ b a))) a)
5.0ms
(- a (* b (/ b a)))
15.0ms
(* b (/ b a))

series180.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ (- a (* b (/ b a))) a)
49.0ms
(- a (* b (/ b a)))
36.0ms
(* b (/ b a))

simplify2.7s

Counts
83 → 83
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0123953
1291898
2827822
32661818
done5000812

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite138.0ms

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×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 → 130
Calls
3 calls:
29.0ms
(/ (+ a b) a)
82.0ms
(* (/ (+ a b) a) (/ (- a b) a))
16.0ms
(/ (- a b) a)

series190.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (+ a b) a)
88.0ms
(* (/ (+ a b) a) (/ (- a b) a))
64.0ms
(/ (- a b) a)

simplify2.0s

Counts
139 → 139
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01651670
14521608
216881455
done50001454

prune432.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite123.0ms

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 frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ 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 → 81
Calls
2 calls:
102.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
18.0ms
(/ (- a b) a)

series144.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (+ 1 (/ b a)) (/ (- a b) a))
59.0ms
(/ (- a b) a)

simplify1.8s

Counts
87 → 87
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
01291100
13261012
21251925
done5000925

prune321.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11413
done1413

end0.0ms

sample1.4s

Algorithm
intervals
Results
433.0ms8000×body80valid
205.0ms8039×pre80false
178.0ms8000×pre80true