Details

Time bar (total: 1.6s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%24.9%13
75%0%25%14

sample19.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
03419
13419

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 0.253 (* x 0.12)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (+ 0.253 (* x 0.12)))

simplify39.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05151216

prune46.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 0.0b

Counts
26 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
10.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
10.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
13.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049701498
149701498

prune203.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh134
Picked101
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05165356

prune83.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.253 (* x 0.12))
0.4b
(pow (* x 0.12) 3)
0.4b
(* (* x 0.12) (* x 0.12))
6.5b
(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
51×pow1
29×add-exp-log add-cbrt-cube
21×pow-prod-down
13×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* pow-sqr pow-prod-up add-log-exp
3×pow-unpow times-frac associate-/r*
2×cbrt-undiv pow-pow flip3-+ pow-plus associate-*r/ div-exp associate-*r* pow-exp associate-/r/ *-commutative flip-+ associate-/l/ rem-cube-cbrt
1×pow2 cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr clear-num div-inv associate-/l* sqr-pow
Counts
4 → 99
Calls
4 calls:
5.0ms
(* 0.253 (* x 0.12))
5.0ms
(pow (* x 0.12) 3)
6.0ms
(* (* x 0.12) (* x 0.12))
19.0ms
(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* 0.253 (* x 0.12))
4.0ms
(pow (* x 0.12) 3)
3.0ms
(* (* x 0.12) (* x 0.12))
7.0ms
(/ (* x (+ (pow 0.253 3) (pow (* x 0.12) 3))) (+ (* 0.253 0.253) (- (* (* x 0.12) (* x 0.12)) (* 0.253 (* x 0.12)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050961141

prune154.0ms

Filtered
64 candidates to 111 candidates (-73.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh022
Picked011
Done022
Total1115116

Merged error: 0b

Counts
116 → 5

regimes101.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0639
1639

end0.0ms

sample552.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid

Profiling

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