Details

Time bar (total: 15.3s)

sample693.0ms

Algorithm
intervals
Results
28.0ms383×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0811
11611
2409
3919
41619
52589
65089
713389
done50019

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
9×prod-diff
6×associate-*l*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 73
Calls
3 calls:
11.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
29.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
39.0ms
(* 0.12900613773279798 (* x x))

series325.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
180.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
63.0ms
(* 0.12900613773279798 (* x x))

simplify1.5s

Counts
82 → 82
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0109964
1309944
22076835
done5000806

prune277.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 0.954929658551372 (* (* x x) 0.12900613773279798))
0.1b
(* x (+ (- 0.954929658551372 (* (* x x) 0.12900613773279798)) (* 0.12900613773279798 (fma x (- x) (* x x)))))
0.2b
(* (* x x) 0.12900613773279798)
40.8b
(fma x (- x) (* x x))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-neg prod-diff
2×associate-*r/ *-commutative unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in flip3-+ flip3-- diff-log flip-+ fma-udef flip--
Counts
4 → 75
Calls
4 calls:
9.0ms
(- 0.954929658551372 (* (* x x) 0.12900613773279798))
58.0ms
(* x (+ (- 0.954929658551372 (* (* x x) 0.12900613773279798)) (* 0.12900613773279798 (fma x (- x) (* x x)))))
29.0ms
(* (* x x) 0.12900613773279798)
1.0ms
(fma x (- x) (* x x))

series536.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- 0.954929658551372 (* (* x x) 0.12900613773279798))
350.0ms
(* x (+ (- 0.954929658551372 (* (* x x) 0.12900613773279798)) (* 0.12900613773279798 (fma x (- x) (* x x)))))
31.0ms
(* (* x x) 0.12900613773279798)
79.0ms
(fma x (- x) (* x x))

simplify2.6s

Counts
87 → 87
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01301188
13731142
22738939
done5000934

prune413.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))) (* 0.12900613773279798 (fma x (- x) (* x x)))))
0.2b
(* (sqrt 0.12900613773279798) (* x x))
0.3b
(* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))
40.8b
(fma x (- x) (* x x))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×sqrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+ fma-udef
Counts
4 → 85
Calls
4 calls:
58.0ms
(* x (+ (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))) (* 0.12900613773279798 (fma x (- x) (* x x)))))
19.0ms
(* (sqrt 0.12900613773279798) (* x x))
69.0ms
(* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))
0.0ms
(fma x (- x) (* x x))

series734.0ms

Counts
4 → 12
Calls
4 calls:
467.0ms
(* x (+ (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))) (* 0.12900613773279798 (fma x (- x) (* x x)))))
85.0ms
(* (sqrt 0.12900613773279798) (* x x))
99.0ms
(* (* (sqrt 0.12900613773279798) (* x x)) (sqrt 0.12900613773279798))
83.0ms
(fma x (- x) (* x x))

simplify2.0s

Counts
97 → 97
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01291460
13811372
226871162
done5002983

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b
(* (* x x) x)
0.3b
(* 0.12900613773279798 (* (* x x) x))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u log1p-expm1-u
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff pow3 flip-- unswap-sqr
Counts
3 → 69
Calls
3 calls:
7.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
15.0ms
(* (* x x) x)
68.0ms
(* 0.12900613773279798 (* (* x x) x))

series257.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
44.0ms
(* (* x x) x)
73.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
091784
1267570
21561489
done5001489

prune217.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11519
done1519

end0.0ms

sample898.0ms

Algorithm
intervals
Results
650.0ms11958×body80valid