Details

Time bar (total: 5.7s)

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms82×body80nan

simplify16.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.0b
(sqrt (+ (* x x) y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
8.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ (* x x) y)
52.0ms
(sqrt (+ (* x x) y))

simplify683.0ms

Counts
32 → 32

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

20.0b
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
20.9b
(cbrt (+ (* x x) y))
20.9b
(cbrt (+ (* x x) y))
20.9b
(cbrt (+ (* x x) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
84.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
6.0ms
(cbrt (+ (* x x) y))
6.0ms
(cbrt (+ (* x x) y))
6.0ms
(cbrt (+ (* x x) y))

series314.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
85.0ms
(cbrt (+ (* x x) y))
86.0ms
(cbrt (+ (* x x) y))
87.0ms
(cbrt (+ (* x x) y))

simplify987.0ms

Counts
101 → 101

prune276.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ y x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
14.0ms
(* 1/2 (/ y x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1/2 (/ y x))

simplify847.0ms

Counts
35 → 35

prune76.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ y x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
19.0ms
(* 1/2 (/ y x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1/2 (/ y x))

simplify957.0ms

Counts
35 → 35

prune89.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes165.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.8b

bsearch46.0ms

Steps
ItersRangePoint
8
1.9402728194738957e+76
2.836360163175937e+80
2.772185700281653e+80
8
-1.2258540922296531e+156
-3.9902908412208803e+152
-1.3594383922156083e+154

simplify46.0ms

end0.0ms

sample751.0ms

Algorithm
intervals
Results
295.0ms8000×body80valid
79.0ms2686×body80nan