Details

Time bar (total: 2.1s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14

sample20.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
0503617

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.6b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
3.0ms
(+ 0.99229 (* x 0.04481))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
3.0ms
(+ 0.99229 (* x 0.04481))
6.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
053531161

prune127.0ms

Filtered
64 candidates to 87 candidates (-35.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh000
Picked011
Done000
Total85388

Merged error: 0b

Counts
88 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
15.9b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.9b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.9b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
26.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
9.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050103769

prune426.0ms

Filtered
100 candidates to 131 candidates (-31.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh011
Picked011
Done011
Total1313134

Merged error: 0b

Counts
134 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 2.30753 (* x 0.27061)))
0.7b
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
3.7b
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.7b
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
41×cbrt-prod add-cube-cbrt *-un-lft-identity
40×cbrt-div
38×times-frac
30×associate-*r*
22×flip3-+ flip-+
20×add-exp-log frac-times
16×pow1
14×associate-*l/
11×add-cbrt-cube
7×pow1/3 associate-*r/ associate-*l* prod-exp cbrt-unprod unswap-sqr
6×swap-sqr associate-/l*
5×pow-prod-down
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/r*
2×pow-sqr *-commutative pow-prod-up div-inv associate-/l/
1×pow2 frac-2neg pow-plus clear-num
Counts
4 → 167
Calls
4 calls:
2.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
9.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
7.0ms
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
21.0ms
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
8.0ms
(* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061))))
12.0ms
(/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(* (* (cbrt (+ 2.30753 (* x 0.27061))) (cbrt (+ 2.30753 (* x 0.27061)))) (/ (cbrt (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051554091

prune527.0ms

Filtered
140 candidates to 179 candidates (-27.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done022
Total1793182

Merged error: 0b

Counts
182 → 3

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03017
13017

end0.0ms

sample430.0ms

Algorithm
intervals
Results
333.0ms8000×body80valid

Profiling

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