Details

Time bar (total: 10.3s)

sample25.0ms

Algorithm
intervals
Results
5.0ms272×body80valid
5.0ms277×body80nan

simplify152.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
078
1138
2257
3447
4657
5887
61057
71267
81497
91567
101717
done1717

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
11×associate-+l+
9×prod-diff
7×add-log-exp
6×associate-*r*
5×fma-def
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sum-log log1p-expm1-u unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
33.0ms
(+ (- 1.0 x) (* y (sqrt x)))
9.0ms
(* y (sqrt x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (- 1.0 x) (* y (sqrt x)))
40.0ms
(* y (sqrt x))

simplify2.3s

Counts
61 → 61
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0110620
1273545
2736453
32566429
done5001407

prune133.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×fma-neg associate-*l* prod-diff
2×expm1-log1p-u log1p-expm1-u unswap-sqr
1×sub-neg flip3-- distribute-rgt-out-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
6.0ms
(- x (* y (sqrt x)))
9.0ms
(* y (sqrt x))

series81.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- x (* y (sqrt x)))
40.0ms
(* y (sqrt x))

simplify2.0s

Counts
51 → 51
Iterations

Useful iterations: done (2.0s)

IterNodesCost
098488
1232443
2578403
31669386
done5000359

prune114.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
14.0ms
(* y (sqrt (sqrt x)))
33.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (sqrt x))
131.0ms
(sqrt (sqrt x))
78.0ms
(* y (sqrt (sqrt x)))
40.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0138963
1354754
21000688
33003671
done5001659

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 x) -1/4)
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×expm1-log1p-u sqrt-pow1 associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 125
Calls
4 calls:
6.0ms
(pow (/ 1 x) -1/4)
2.0ms
(sqrt (sqrt x))
12.0ms
(* y (sqrt (sqrt x)))
42.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

series472.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(pow (/ 1 x) -1/4)
135.0ms
(sqrt (sqrt x))
78.0ms
(* y (sqrt (sqrt x)))
82.0ms
(* (* y (sqrt (sqrt x))) (pow (/ 1 x) -1/4))

simplify1.1s

Counts
137 → 137
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02501503
16201285
217181204
done50001152

prune293.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample700.0ms

Algorithm
intervals
Results
175.0ms8498×body80valid
172.0ms8407×body80nan