Details

Time bar (total: 16.8s)

sample127.0ms

Algorithm
intervals
Results
86.0ms655×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5002
42092
3566
2172
153
018

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.8b
(* (* b b) (+ 3.0 a))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×prod-diff
15×pow1 add-exp-log
14×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
9×associate-*r*
7×fma-def
6×unpow-prod-down pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×pow-unpow
2×associate-+r+ sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow-exp flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
81.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
33.0ms
(* (* a a) (- 1.0 a))
13.0ms
(pow (+ (* a a) (* b b)) 2.0)
41.0ms
(* (* b b) (+ 3.0 a))

series429.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
74.0ms
(* (* a a) (- 1.0 a))
137.0ms
(pow (+ (* a a) (* b b)) 2.0)
50.0ms
(* (* b b) (+ 3.0 a))

simplify571.0ms

Counts
126 → 126
Iterations
IterNodes
done5000
1746
0235

prune741.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.8b
(* (* b b) (+ 3.0 a))
7.5b
(sqrt (+ (* a a) (* b b)))
7.5b
(sqrt (+ (* a a) (* b b)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×*-un-lft-identity add-cbrt-cube add-exp-log
7×add-cube-cbrt
6×sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r* log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ hypot-def
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative fma-udef distribute-lft-out unswap-sqr
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
51.0ms
(* (* b b) (+ 3.0 a))
11.0ms
(sqrt (+ (* a a) (* b b)))
12.0ms
(sqrt (+ (* a a) (* b b)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(fma (pow (sqrt (+ (* a a) (* b b))) 2.0) (pow (sqrt (+ (* a a) (* b b))) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
53.0ms
(* (* b b) (+ 3.0 a))
61.0ms
(sqrt (+ (* a a) (* b b)))
60.0ms
(sqrt (+ (* a a) (* b b)))

simplify3.6s

Counts
84 → 84
Iterations
IterNodes
done5001
22332
1346
0117

prune621.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.0b
(+ (pow (hypot b a) (* 2 2.0)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.8b
(* (* b b) (+ 3.0 a))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff associate-*r/
16×pow1 add-cbrt-cube add-exp-log
14×distribute-rgt-in distribute-lft-in
12×associate-*r*
7×fma-def pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
5×flip3-+ associate-*l* flip-+
4×expm1-log1p-u frac-add log1p-expm1-u
3×unpow-prod-down flip3-- *-commutative flip-- unswap-sqr
2×associate-+r+ sub-neg
1×+-commutative sum-log distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 123
Calls
4 calls:
85.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
16.0ms
(+ (pow (hypot b a) (* 2 2.0)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
41.0ms
(* (* a a) (- 1.0 a))
33.0ms
(* (* b b) (+ 3.0 a))

series427.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
185.0ms
(+ (pow (hypot b a) (* 2 2.0)) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
97.0ms
(* (* a a) (- 1.0 a))
50.0ms
(* (* b b) (+ 3.0 a))

simplify673.0ms

Counts
135 → 135
Iterations
IterNodes
done5001
1911
0265

prune850.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.4b
(pow (/ -1 a) -4.0)
0.8b
(* (* b b) (+ 3.0 a))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
34×add-cube-cbrt
26×unpow-prod-down
18×times-frac prod-diff
17×fma-def add-exp-log
15×pow1
14×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
9×associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×pow-unpow
2×associate-+r+ sub-neg flip3-+ associate-*l* pow-exp *-commutative flip-+ div-inv unswap-sqr sqr-pow
1×pow-to-exp +-commutative sum-log pow-pow flip3-- div-exp flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
50.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
46.0ms
(* (* a a) (- 1.0 a))
17.0ms
(pow (/ -1 a) -4.0)
49.0ms
(* (* b b) (+ 3.0 a))

series514.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
83.0ms
(* (* a a) (- 1.0 a))
276.0ms
(pow (/ -1 a) -4.0)
43.0ms
(* (* b b) (+ 3.0 a))

simplify469.0ms

Counts
147 → 147
Iterations
IterNodes
done5000
1887
0271

prune726.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes174.0ms

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
done27
127
020

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.7s20671×body80valid