Details

Time bar (total: 1.4s)

sample19.0ms

Algorithm
intervals
Results
11.0ms362×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
035211
135211

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
7×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ diff-log flip-- flip-+ distribute-lft-out unswap-sqr
Counts
3 → 53
Calls
3 calls:
5.0ms
(- (* (* x 3.0) x) (* x 4.0))
12.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms
(* (* x 3.0) x)

series13.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (* (* x 3.0) x) (* x 4.0))
3.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
3.0ms
(* (* x 3.0) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04997597
14997597

prune87.0ms

Filtered
41 candidates to 62 candidates (-51.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh101
Picked101
Done000
Total60464

Merged error: 0.0b

Counts
64 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (* x 9.0) 12.0)
5.0ms
(* x (- (* x 9.0) 12.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04971349
14971349

prune52.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh033
Picked011
Done000
Total40646

Merged error: 0b

Counts
46 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0)))
0.1b
(* (* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
0.2b
(* (* x 3.0) x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*r*
18×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity sqrt-div
12×add-cube-cbrt associate-*r/
8×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
7×flip3-+ flip-+
4×frac-times *-commutative add-log-exp
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/
1×flip3-- flip-- distribute-lft-out
Counts
4 → 96
Calls
4 calls:
6.0ms
(* x (- (* x 3.0) 4.0))
12.0ms
(* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0)))
17.0ms
(* (* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
5.0ms
(* (* x 3.0) x)

series17.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (- (* x 3.0) 4.0))
6.0ms
(* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0)))
4.0ms
(* (* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
3.0ms
(* (* x 3.0) x)

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053271450

prune158.0ms

Filtered
65 candidates to 108 candidates (-66.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done011
Total1086114

Merged error: 0b

Counts
114 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)
21.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05837334

prune68.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0b

Counts
91 → 6

regimes34.0ms

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 (0.0ms)

IterNodesCost
0119
1119

end0.0ms

sample497.0ms

Algorithm
intervals
Results
330.0ms10675×body80valid

Profiling

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