Details

Time bar (total: 8.1s)

sample36.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms103×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.5b
(sqrt (+ (* x x) y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 26
Calls
2 calls:
10.0ms
(+ (* x x) y)
14.0ms
(sqrt (+ (* x x) y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* x x) y)
73.0ms
(sqrt (+ (* x x) y))

simplify821.0ms

Counts
32 → 32
Iterations
IterNodes
done5000
2697
1154
059

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) y)
0.1b
(* (sqrt (+ (* x x) y)) (+ (* x x) y))
20.5b
(sqrt (+ (* x x) y))
31.8b
(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×flip3-+ sqrt-div flip-+
11×pow1
8×frac-times cbrt-div *-un-lft-identity add-cube-cbrt
7×sqrt-prod
6×add-cbrt-cube associate-*l* add-exp-log add-log-exp
4×associate-*l/ associate-*r/
3×sqrt-pow1 pow1/2 associate-*r*
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod distribute-rgt-in +-commutative rem-sqrt-square sum-log distribute-lft-in pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(+ (* x x) y)
46.0ms
(* (sqrt (+ (* x x) y)) (+ (* x x) y))
15.0ms
(sqrt (+ (* x x) y))
31.0ms
(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* x x) y)
99.0ms
(* (sqrt (+ (* x x) y)) (+ (* x x) y))
45.0ms
(sqrt (+ (* x x) y))
64.0ms
(cbrt (* (sqrt (+ (* x x) y)) (+ (* x x) y)))

simplify1.4s

Counts
93 → 93
Iterations
IterNodes
done5000
22141
1377
0133

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ -1/2 (/ x y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 clear-num frac-2neg associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
12.0ms
(/ -1/2 (/ x y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ -1/2 (/ x y))

simplify1.0s

Counts
73 → 73
Iterations
IterNodes
done5001
21531
1378
0150

prune304.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
11.0ms
(* 1/2 (/ y x))

series20.0ms

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

simplify1.6s

Counts
35 → 35
Iterations
IterNodes
done5000
32504
2572
1178
068

prune141.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes356.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 20.7b

bsearch77.0ms

Steps
ItersRangePoint
8
7.661693106350402e+148
2.655600798822068e+151
1.7854904614018066e+149
9
-4.4705439518245044e+156
-6.8324523784438e+150
-1.3211775299738663e+154

simplify4.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample1.1s

Algorithm
intervals
Results
320.0ms8000×body80valid
83.0ms2655×body80nan