Details

Time bar (total: 1.3s)

analyze4.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample13.0ms (1%)

Algorithm
1×intervals
Results
8.0ms256×body80valid

simplify28.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
073911
173911

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(- (* 3.0 x) 4.0)
0.1b
(* x (- (* 3.0 x) 4.0))
0.1b
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

rewrite25.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×sub-neg
2×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 55
Calls

3 calls:

13.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))
6.0ms
(* x (- (* 3.0 x) 4.0))
4.0ms
(- (* 3.0 x) 4.0)

series13.0ms (1%)

Counts
3 → 9
Calls

3 calls:

6.0ms
(* x (- (* 3.0 x) 4.0))
4.0ms
(- (* 3.0 x) 4.0)
3.0ms
(* 3.0 (+ (* x (- (* 3.0 x) 4.0)) 1.0))

simplify40.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04964647
14964647

prune115.0ms (9.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New58664
Fresh000
Picked101
Done000
Total59665

Merged error: 0b

Counts
65 → 6

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite11.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls

2 calls:

6.0ms
(* x (- (* x 9.0) 12.0))
4.0ms
(- (* x 9.0) 12.0)

series11.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(* x (- (* x 9.0) 12.0))
3.0ms
(- (* x 9.0) 12.0)

simplify41.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04943329
14943329

prune68.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh145
Picked011
Done000
Total39645

Merged error: 0b

Counts
45 → 6

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
0.1b
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
0.2b
(* 3.0 (* x x))

rewrite23.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×*-un-lft-identity
6×add-cube-cbrt associate-*l*
5×associate-*r* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ *-commutative flip-+ unswap-sqr
1×+-commutative distribute-rgt-in distribute-lft-in unsub-neg sum-log distribute-rgt-neg-out distribute-lft-out
Counts
3 → 54
Calls

3 calls:

11.0ms
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
6.0ms
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
5.0ms
(* 3.0 (* x x))

series13.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

7.0ms
(+ (* 3.0 (* x x)) (* x (neg 4.0)))
3.0ms
(* 3.0 (+ (+ (* 3.0 (* x x)) (* x (neg 4.0))) 1.0))
3.0ms
(* 3.0 (* x x))

simplify50.0ms (4%)

Algorithm
1×egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04966597
14966597

prune100.0ms (7.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done011
Total63669

Merged error: 0b

Counts
69 → 6

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(- (* 3.0 x) 4.0)
0.1b
(* x (- (* 3.0 x) 4.0))
0.1b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0)))
0.1b
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0))

rewrite39.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
20×pow1 add-exp-log
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×add-log-exp
4×cbrt-prod associate-*r/ associate-*l/
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×distribute-rgt-in distribute-lft-in diff-log
Counts
4 → 81
Calls

4 calls:

14.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0)))
12.0ms
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0))
6.0ms
(* x (- (* 3.0 x) 4.0))
4.0ms
(- (* 3.0 x) 4.0)

series20.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

6.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0)))
6.0ms
(* x (- (* 3.0 x) 4.0))
5.0ms
(* (+ (* x (- (* 3.0 x) 4.0)) 1.0) (cbrt 3.0))
3.0ms
(- (* 3.0 x) 4.0)

simplify50.0ms (4%)

Algorithm
1×egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050401052

prune191.0ms (15.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

regimes34.0ms (2.7%)

Accuracy

Total 0.1b remaining (88.6%)

Threshold costs 0.1b (88.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1219

end0.0ms (0%)

sample333.0ms (26.5%)

Algorithm
1×intervals
Results
249.0ms8000×body80valid
0.0ms4×body80invalid

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