Details

Time bar (total: 26.8s)

sample46.0ms

Algorithm
intervals
Results
14.0ms333×body80valid

simplify164.0ms

Counts
1 → 1
Iterations
IterNodes
done85
585
478
361
231
112
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative insert-posit16 flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 27
Calls
1 calls:
72.0ms
(* (* x y) (- 1.0 y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (* x y) (- 1.0 y))

simplify6.1s

Counts
30 → 30
Iterations
IterNodes
done5011
32947
2581
1175
061

prune307.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.9b
(* x (* y (- 1.0 y)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
7×*-un-lft-identity
6×sub-neg associate-*r* associate-*l* associate-*r/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative insert-posit16 flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 56
Calls
2 calls:
61.0ms
(* y (- 1.0 y))
81.0ms
(* x (* y (- 1.0 y)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(* y (- 1.0 y))
85.0ms
(* x (* y (- 1.0 y)))

simplify6.0s

Counts
62 → 62
Iterations
IterNodes
done5222
33168
2668
1218
086

prune516.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
0.1b
(* (* y y) y)
2.4b
(* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x))
9.6b
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
23×add-cbrt-cube add-exp-log
9×add-sqr-sqrt prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
6×pow-plus pow-prod-down pow-prod-up add-log-exp
5×associate-*l*
4×associate-*r* associate-*l/ insert-posit16
3×cbrt-undiv associate-/r* times-frac div-exp
2×pow2 flip3-+ flip3-- pow3 associate-/r/ pow-sqr *-commutative flip-+ flip-- associate-/l/
1×difference-cubes +-commutative clear-num sum-log frac-2neg distribute-rgt-out cube-unmult div-inv associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
15.0ms
(+ (* y y) (* 1.0 y))
27.0ms
(* (* y y) y)
236.0ms
(* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x))
152.0ms
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(+ (* y y) (* 1.0 y))
65.0ms
(* (* y y) y)
96.0ms
(* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x))
216.0ms
(/ (* (- (* 1.0 (* 1.0 1.0)) (* (* y y) y)) (* y x)) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify4.2s

Counts
104 → 104
Iterations
IterNodes
done5009
22217
1529
0163

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(* y (sqrt (- 1.0 y)))
0.1b
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
3.4b
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
28×sqrt-div
26×associate-*r/
22×add-sqr-sqrt
21×pow1
20×add-cbrt-cube add-exp-log
17×*-un-lft-identity associate-*r*
16×sqrt-prod
14×flip3-- flip--
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
8×frac-times
7×associate-*l*
4×associate-*l/ insert-posit16 add-log-exp
3×*-commutative distribute-lft-out-- difference-of-squares
2×unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 107
Calls
4 calls:
17.0ms
(sqrt (- 1.0 y))
58.0ms
(* y (sqrt (- 1.0 y)))
113.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
311.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

series387.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- 1.0 y))
155.0ms
(* y (sqrt (- 1.0 y)))
72.0ms
(* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))
94.0ms
(* x (* (* y (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))

simplify3.3s

Counts
119 → 119
Iterations
IterNodes
done5000
21578
1428
0164

prune1.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes490.0ms

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
done8
18
06

end0.0ms

sample783.0ms

Algorithm
intervals
Results
412.0ms10642×body80valid