Details

Time bar (total: 17.5s)

sample40.0ms

Algorithm
intervals
Results
20.0ms287×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5000
154748
144392
134053
123703
113395
102737
91813
81144
7777
6542
5359
4210
3103
248
120
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))

simplify1.3s

Counts
13 → 13
Iterations
IterNodes
done5025
41283
3289
2104
144
025

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
0.0b
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
0.0b
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
0.4b
(* (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
1.0ms
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
1.0ms
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
11.0ms
(* (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
102.0ms
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
85.0ms
(sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
50.0ms
(* (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (sqrt (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

simplify1.6s

Counts
103 → 103
Iterations
IterNodes
done5003
31468
2407
1169
093

prune419.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
0.1b
(* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
0.3b
(* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
28.5b
(cbrt (* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
6.0ms
(* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
15.0ms
(* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
12.0ms
(cbrt (* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))
68.0ms
(* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
77.0ms
(* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))))
52.0ms
(cbrt (* (* (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))) (fma (- y 1.0) x (- 0.918938533204673 (* y 0.5)))))

simplify3.0s

Counts
95 → 95
Iterations
IterNodes
done5002
33248
2769
1266
0116

prune475.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x 0.5))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
3×pow1 add-cbrt-cube associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
34.0ms
(* y (- x 0.5))

series37.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* y (- x 0.5))

simplify3.2s

Counts
49 → 49
Iterations
IterNodes
done5000
44028
31209
2435
1222
0102

prune131.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample1.1s

Algorithm
intervals
Results
882.0ms9176×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid