Details

Time bar (total: 13.6s)

sample104.0ms

Algorithm
intervals
Results
22.0ms382×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0811
11611
2409
3899
41509
52369
64719
712459
done50009

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
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:
7.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
34.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
37.0ms
(* 0.12900613773279798 (* x x))

series283.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
140.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
45.0ms
(* 0.12900613773279798 (* x x))

simplify2.1s

Counts
82 → 82
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0109964
1309944
22099835
done5004810

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* (pow x 3) 0.12900613773279798)))
0.1b
(* (pow x 3) 0.12900613773279798)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity add-log-exp
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*r* prod-exp
2×pow1 expm1-log1p-u sum-log log1p-expm1-u sqr-pow
1×+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 51
Calls
2 calls:
9.0ms
(+ (* x 0.954929658551372) (- (* (pow x 3) 0.12900613773279798)))
14.0ms
(* (pow x 3) 0.12900613773279798)

series191.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(+ (* x 0.954929658551372) (- (* (pow x 3) 0.12900613773279798)))
73.0ms
(* (pow x 3) 0.12900613773279798)

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
085535
1230474
21219440
done5000440

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×flip3-- associate-*l/ *-commutative flip-- unswap-sqr
1×sub-neg diff-log
Counts
3 → 63
Calls
3 calls:
14.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
35.0ms
(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
30.0ms
(* 0.12900613773279798 (* x x))

series287.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
143.0ms
(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
55.0ms
(* 0.12900613773279798 (* x x))

simplify1.3s

Counts
72 → 72
Iterations

Useful iterations: done (1.3s)

IterNodesCost
099762
1266738
21442651
done5001642

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
18×add-sqr-sqrt
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×prod-diff
7×sqrt-prod
6×add-log-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg *-commutative unswap-sqr
2×flip3-- associate-*r/ flip--
1×diff-log
Counts
4 → 103
Calls
4 calls:
21.0ms
(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
36.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
100.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
21.0ms
(* (sqrt 0.12900613773279798) (* x x))

series520.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))))
229.0ms
(* x (- 0.954929658551372 (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))))
90.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
58.0ms
(* (sqrt 0.12900613773279798) (* x x))

simplify2.3s

Counts
115 → 115
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01341736
13531222
223571090
done50001065

prune340.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11610
21810
done1810

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s12084×body80valid