Details

Time bar (total: 14.9s)

sample28.0ms

Algorithm
intervals
Results
9.0ms329×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
82177
7621
6221
596
439
328
219
112
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r* fma-def
2×expm1-log1p-u pow1 div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- distribute-lft-out
Counts
2 → 58
Calls
2 calls:
27.0ms
(/ (- y x) z)
36.0ms
(+ x (/ (- y x) z))

series117.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y x) z)
66.0ms
(+ x (/ (- y x) z))

simplify1.0s

Counts
64 → 64
Iterations
IterNodes
done5001
2946
1239
098

prune375.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
13×associate-*r*
11×times-frac add-exp-log add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×fma-def unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ cbrt-unprod log1p-expm1-u flip--
1×cbrt-undiv +-commutative rec-exp sum-log flip3-+ 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 60
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ 1 z)))
51.0ms
(* (- y x) (/ 1 z))

series91.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- y x) (/ 1 z)))
47.0ms
(* (- y x) (/ 1 z))

simplify1.5s

Counts
66 → 66
Iterations
IterNodes
done5001
21421
1319
0121

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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)
10.0ms
(* (cbrt x) (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
259.0ms
(cbrt x)
303.0ms
(cbrt x)
239.0ms
(* (cbrt x) (cbrt x))

simplify1.7s

Counts
93 → 93
Iterations
IterNodes
done5000
2711
1142
065

prune468.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ (/ (+ x y) (/ z (- y x))) (+ y x)))
0.2b
(/ (+ x y) (/ z (- y x)))
18.5b
(/ (/ (+ x y) (/ z (- y x))) (+ y x))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
1250×times-frac
1056×*-un-lft-identity
620×add-sqr-sqrt
462×add-cube-cbrt
218×distribute-lft-out
96×associate-/l*
79×distribute-lft-out-- difference-of-squares
60×associate-/r/
33×div-inv
30×associate-/r*
26×flip3-- flip--
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
6×add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×clear-num fma-def frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log
Counts
4 → 654
Calls
4 calls:
17.0ms
(/ z (- y x))
221.0ms
(+ x (/ (/ (+ x y) (/ z (- y x))) (+ y x)))
42.0ms
(/ (+ x y) (/ z (- y x)))
59.0ms
(/ (/ (+ x y) (/ z (- y x))) (+ y x))

series171.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ z (- y x))
26.0ms
(+ x (/ (/ (+ x y) (/ z (- y x))) (+ y x)))
82.0ms
(/ (+ x y) (/ z (- y x)))
32.0ms
(/ (/ (+ x y) (/ z (- y x))) (+ y x))

simplify1.9s

Counts
666 → 666
Iterations
IterNodes
done5000
11856
0680

prune2.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes165.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample914.0ms

Algorithm
intervals
Results
401.0ms10159×body80valid