Details

Time bar (total: 15.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done18
318
216
112
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- z y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
30.0ms
(/ (- x y) (- z y))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (- x y) (- z y))

simplify1.9s

Counts
57 → 57
Iterations
IterNodes
done5000
34366
2757
1234
096

prune234.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ x (- z y))
0.0b
(/ y (- z y))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
7×add-cbrt-cube add-exp-log
6×associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
117.0ms
(- (/ x (- z y)) (/ y (- z y)))
16.0ms
(/ x (- z y))
17.0ms
(/ y (- z y))

series171.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- (/ x (- z y)) (/ y (- z y)))
38.0ms
(/ x (- z y))
55.0ms
(/ y (- z y))

simplify1.8s

Counts
580 → 580
Iterations
IterNodes
done5000
23855
11252
0553

prune2.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
0.0b
(/ x (- z y))
0.3b
(/ 1 (+ (/ z y) -1))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
868×times-frac
835×add-sqr-sqrt
776×*-un-lft-identity
504×prod-diff
459×add-cube-cbrt
134×difference-of-sqr--1
96×associate-/r/
87×distribute-lft-out--
85×difference-of-squares
69×distribute-lft-out
49×div-inv
27×flip3-- flip--
22×flip3-+ flip-+
21×fma-neg
11×associate-/r*
9×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×add-log-exp
4×pow1
3×expm1-log1p-u div-exp log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg
1×rec-exp sub-neg diff-log 1-exp frac-sub pow-flip inv-pow
Counts
3 → 638
Calls
3 calls:
124.0ms
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
9.0ms
(/ x (- z y))
25.0ms
(/ 1 (+ (/ z y) -1))

series181.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (/ x (- z y)) (/ 1 (+ (/ z y) -1)))
38.0ms
(/ x (- z y))
62.0ms
(/ 1 (+ (/ z y) -1))

simplify1.8s

Counts
647 → 647
Iterations
IterNodes
done5000
24073
11434
0631

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (cbrt x) (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt x)
315.0ms
(cbrt x)
307.0ms
(cbrt x)
327.0ms
(* (cbrt x) (cbrt x))

simplify943.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
2711
1142
065

prune512.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
385.0ms8348×body80valid