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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×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 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite9.0ms

Algorithm
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×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
6.0ms
(* x (+ 0.253 (* x 0.12)))

simplify45.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05079325

prune235.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
0.2b
(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
0.2b
(* x (* x (* 0.12 0.12)))
0.4b
(* x (* 0.12 0.12))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×pow1
19×times-frac
17×associate-*r*
11×prod-exp cbrt-unprod
10×pow-prod-down
9×associate-*l*
4×associate-/r/ add-log-exp
3×flip3-- associate-/r* *-commutative flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num
Counts
4 → 106
Calls
4 calls:
10.0ms
(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
7.0ms
(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
7.0ms
(* x (* x (* 0.12 0.12)))
5.0ms
(* x (* 0.12 0.12))

series26.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
9.0ms
(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
3.0ms
(* x (* x (* 0.12 0.12)))
2.0ms
(* x (* 0.12 0.12))

simplify32.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
049691453
149691453

prune170.0ms

Filtered
80 candidates to 118 candidates (-47.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh044
Picked011
Done011
Total1168124

Merged error: 0.0b

Counts
124 → 8

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))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
13.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
11.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
11.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049701498
149701498

prune206.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done022
Total84892

Merged error: 0.0b

Counts
92 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* 0.12 0.12))
0.8b
(cbrt (- 0.253 (* x 0.12)))
0.8b
(cbrt (- 0.253 (* x 0.12)))
0.8b
(cbrt (- 0.253 (* x 0.12)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* x (* 0.12 0.12))
2.0ms
(cbrt (- 0.253 (* x 0.12)))
2.0ms
(cbrt (- 0.253 (* x 0.12)))
3.0ms
(cbrt (- 0.253 (* x 0.12)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* x (* 0.12 0.12))
8.0ms
(cbrt (- 0.253 (* x 0.12)))
8.0ms
(cbrt (- 0.253 (* x 0.12)))
8.0ms
(cbrt (- 0.253 (* x 0.12)))

simplify45.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05033787

prune169.0ms

Filtered
58 candidates to 70 candidates (-20.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New69170
Fresh044
Picked011
Done033
Total69978

Merged error: 0b

Counts
78 → 9

regimes136.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0639
1639

end0.0ms

sample270.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid
0.0ms4×body80invalid

Profiling

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