Details

Time bar (total: 5.1s)

sample84.0ms

Algorithm
intervals
Results
37.0ms264×body80valid

simplify156.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (153.0ms)

IterNodesCost
0483433
1483433

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 25.8b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
25.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
27.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series187.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (+ (* x y) z) y)
15.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
8.0ms
(* (+ (* (+ y a) y) b) y)
155.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050502165

prune233.0ms

Filtered
85 candidates to 103 candidates (-21.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9211103
Fresh000
Picked101
Done000
Total9311104

Merged error: 25.0b

Counts
104 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

22.4b
(cbrt (* y (+ (* x y) z)))
22.4b
(cbrt (* y (+ (* x y) z)))
22.4b
(cbrt (* y (+ (* x y) z)))
25.2b
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*r/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
5.0ms
(cbrt (* y (+ (* x y) z)))
5.0ms
(cbrt (* y (+ (* x y) z)))
7.0ms
(cbrt (* y (+ (* x y) z)))
32.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series243.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (* y (+ (* x y) z)))
41.0ms
(cbrt (* y (+ (* x y) z)))
39.0ms
(cbrt (* y (+ (* x y) z)))
125.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049241891
149241891

prune180.0ms

Filtered
70 candidates to 76 candidates (-8.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh01010
Picked101
Done000
Total761187

Merged error: 25.0b

Counts
87 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* y (+ (* y (+ y a)) b))
0.4b
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
25.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×associate-*r/ pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num un-div-inv inv-pow
Counts
4 → 117
Calls
4 calls:
12.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* y (+ (* y (+ y a)) b))
14.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
30.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms
(* y (+ (* y (+ y a)) b))
24.0ms
(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
149.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify74.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050722923

prune208.0ms

Filtered
90 candidates to 129 candidates (-43.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh01010
Picked011
Done000
Total12911140

Merged error: 25.0b

Counts
140 → 11

localize31.0ms

Local error

Found 4 expressions with local error:

16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
16.1b
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
21.3b
(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

rewrite105.0ms

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:
12.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
12.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
12.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
64.0ms
(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
57.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
56.0ms
(cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
147.0ms
(* (/ 1 (* (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))) (/ (+ (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)) t) (cbrt (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))))

simplify54.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050156032

prune183.0ms

Filtered
99 candidates to 131 candidates (-32.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1310131
Fresh099
Picked011
Done011
Total13111142

Merged error: 25.0b

Counts
142 → 11

regimes1.1s

Accuracy

0% (1.2b remaining)

Error of 29.9b against oracle of 28.7b and baseline of 29.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04535
14535

end0.0ms

sample1.4s

Algorithm
intervals
Results
666.0ms8229×body80valid

Profiling

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