Details

Time bar (total: 32.7s)

sample38.0ms

Algorithm
intervals
Results
16.0ms321×body80valid

simplify173.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
69.0ms
(* (* x y) (- 1.0 y))

series172.0ms

Counts
1 → 3
Calls
1 calls:
172.0ms
(* (* x y) (- 1.0 y))

simplify3.3s

Counts
29 → 29
Iterations

Useful iterations: done (3.2s)

IterNodesCost
060303
1175294
21142254
done5000242

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.3b
(* x (* y (- 1.0 y)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
47.0ms
(* y (- 1.0 y))
113.0ms
(* x (* y (- 1.0 y)))

series299.0ms

Counts
2 → 6
Calls
2 calls:
167.0ms
(* y (- 1.0 y))
131.0ms
(* x (* y (- 1.0 y)))

simplify2.6s

Counts
60 → 60
Iterations

Useful iterations: done (2.5s)

IterNodesCost
084545
1220533
2951475
done5000469

prune685.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize347.0ms

Local error

Found 3 expressions with local error:

0.1b
(* y (- (* 1.0 1.0) (* y y)))
4.1b
(* x (* y (- (* 1.0 1.0) (* y y))))
4.9b
(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

rewrite733.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
12×*-un-lft-identity
10×pow1 distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r/
8×add-cube-cbrt
7×prod-exp cbrt-unprod
6×sub-neg associate-*l*
5×associate-*r*
4×times-frac pow-prod-down associate-/r*
3×cbrt-undiv flip3-- div-exp flip-- add-log-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 82
Calls
3 calls:
150.0ms
(* y (- (* 1.0 1.0) (* y y)))
264.0ms
(* x (* y (- (* 1.0 1.0) (* y y))))
245.0ms
(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

series1.1s

Counts
3 → 9
Calls
3 calls:
382.0ms
(* y (- (* 1.0 1.0) (* y y)))
134.0ms
(* x (* y (- (* 1.0 1.0) (* y y))))
568.0ms
(/ (* x (* y (- (* 1.0 1.0) (* y y)))) (+ 1.0 y))

simplify5.7s

Counts
91 → 91
Iterations

Useful iterations: done (5.6s)

IterNodesCost
01351445
14441407
227381167
done50001155

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite452.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-sqr-sqrt sqrt-prod
18×add-exp-log *-un-lft-identity sqrt-div add-cbrt-cube
10×add-cube-cbrt associate-*l/
9×flip3-- associate-*r* associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative
Counts
4 → 93
Calls
4 calls:
79.0ms
(sqrt (- 1.0 y))
16.0ms
(sqrt (- 1.0 y))
248.0ms
(* (* (sqrt (- 1.0 y)) (* x y)) (sqrt (- 1.0 y)))
75.0ms
(* (sqrt (- 1.0 y)) (* x y))

series1.2s

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- 1.0 y))
353.0ms
(sqrt (- 1.0 y))
64.0ms
(* (* (sqrt (- 1.0 y)) (* x y)) (sqrt (- 1.0 y)))
636.0ms
(* (sqrt (- 1.0 y)) (* x y))

simplify6.0s

Counts
105 → 105
Iterations

Useful iterations: done (5.9s)

IterNodesCost
01451450
13811292
220201102
done50011058

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes837.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
done87

end6.0ms

sample5.5s

Algorithm
intervals
Results
2.8s10684×body80valid