Details

Time bar (total: 22.3s)

sample91.0ms

Algorithm
intervals
Results
70.0ms632×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
63785
51494
4533
3147
251
126
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a a) (* b b))
0.0b
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.0b
(* (* b b) 4)
0.3b
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
8×flip3-+ flip-+ add-log-exp
6×associate-*r*
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×swap-sqr
2×distribute-rgt-in +-commutative associate-+r+ sum-log distribute-lft-in associate-*l/ associate-*r/ *-commutative unswap-sqr
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 78
Calls
4 calls:
9.0ms
(+ (* a a) (* b b))
14.0ms
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
22.0ms
(* (* b b) 4)
53.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* a a) (* b b))
71.0ms
(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
44.0ms
(* (* b b) 4)
64.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify4.3s

Counts
90 → 90
Iterations
IterNodes
38191
21680
1438
0126

prune677.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
0.2b
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
8.7b
(sqrt (+ (* a a) (* b b)))
8.7b
(sqrt (+ (* a a) (* b b)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
19×add-sqr-sqrt
16×associate-*r/
15×pow-prod-up
13×sqrt-prod
12×sqrt-pow1 pow1/2 associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square cube-unmult *-commutative unswap-sqr
Counts
4 → 127
Calls
4 calls:
60.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
40.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
10.0ms
(sqrt (+ (* a a) (* b b)))
11.0ms
(sqrt (+ (* a a) (* b b)))

series258.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
109.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
44.0ms
(sqrt (+ (* a a) (* b b)))
38.0ms
(sqrt (+ (* a a) (* b b)))

simplify899.0ms

Counts
139 → 139
Iterations
IterNodes
22301
1540
0163

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.0b
(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b
(* (* b b) 4)
8.7b
(sqrt (+ (* a a) (* b b)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-sqr-sqrt
10×add-exp-log
9×*-un-lft-identity add-cbrt-cube add-cube-cbrt
6×unpow-prod-down sqrt-prod add-log-exp
3×pow-unpow pow-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
1×pow-to-exp +-commutative rem-sqrt-square sum-log associate-*l* pow-exp *-commutative sqrt-pow2 unswap-sqr sqr-pow
Counts
4 → 68
Calls
4 calls:
53.0ms
(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
13.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
14.0ms
(* (* b b) 4)
5.0ms
(sqrt (+ (* a a) (* b b)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
79.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
46.0ms
(* (* b b) 4)
48.0ms
(sqrt (+ (* a a) (* b b)))

simplify3.0s

Counts
80 → 80
Iterations
IterNodes
33397
21030
1324
0123

prune775.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))
14.1b
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
14.1b
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
14.1b
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
98.0ms
(* (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))
9.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
15.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
9.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))) (cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))))
287.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
288.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))
283.0ms
(cbrt (+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b)))))

simplify1.2s

Counts
99 → 99
Iterations
IterNodes
33258
2717
1243
0102

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
215
115
012

end0.0ms

sample3.6s

Algorithm
intervals
Results
3.1s20616×body80valid