Details

Time bar (total: 4.5s)

sample37.0ms

Algorithm
intervals
Results
23.0ms257×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
0541437

prune11.0ms

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: 22.2b

Counts
2 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (* x 4.16438922228) 78.6994924154))
0.1b
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
21.5b
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

rewrite64.0ms

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-*r/
5×flip3-+ flip-+
4×add-log-exp
3×distribute-rgt-in distribute-lft-in 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 → 97
Calls
4 calls:
8.0ms
(* x (+ (* x 4.16438922228) 78.6994924154))
10.0ms
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
14.0ms
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
29.0ms
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

series63.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (+ (* x 4.16438922228) 78.6994924154))
4.0ms
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
10.0ms
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
44.0ms
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))

simplify45.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049862383
149862383

prune256.0ms

Filtered
78 candidates to 109 candidates (-39.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1054109
Fresh011
Picked101
Done000
Total1065111

Merged error: 0.0b

Counts
111 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
0.1b
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
0.2b
(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
21.7b
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

rewrite80.0ms

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×associate-*r/ unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times rec-exp distribute-lft-in 1-exp associate-*l/ div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow
Counts
4 → 119
Calls
4 calls:
10.0ms
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
14.0ms
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
15.0ms
(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
36.0ms
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* x (+ (* x (+ x 43.3400022514)) 263.505074721))
13.0ms
(* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y))
7.0ms
(/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
40.0ms
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
055943145

prune274.0ms

Filtered
87 candidates to 131 candidates (-50.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh044
Picked011
Done000
Total1306136

Merged error: 0.0b

Counts
136 → 6

localize32.0ms

Local error

Found 4 expressions with local error:

13.2b
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
13.2b
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
13.2b
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
19.7b
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-div
9×pow1 add-exp-log frac-times
7×flip3-+ add-cbrt-cube flip-+
6×associate-*r/ associate-/r/
5×associate-*l/
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
15.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
15.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
15.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
55.0ms
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
12.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
11.0ms
(cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
98.0ms
(* (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (* (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (cbrt (/ 1 (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
050344557

prune544.0ms

Filtered
86 candidates to 114 candidates (-32.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done011
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

4.7b
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
4.7b
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
16.5b
(/ (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
18.5b
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
13.0ms
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
13.0ms
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
48.0ms
(/ (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
31.0ms
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

series115.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
7.0ms
(sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))
41.0ms
(/ (/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606))) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))
60.0ms
(/ (+ (* x (+ (* x (+ (* x (+ (* x 4.16438922228) 78.6994924154)) 137.519416416)) y)) z) (sqrt (+ (* x (+ (* x (+ (* x (+ x 43.3400022514)) 263.505074721)) 313.399215894)) 47.066876606)))

simplify143.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0499217652
1499217652

prune738.0ms

Filtered
145 candidates to 276 candidates (-90.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2760276
Fresh033
Picked011
Done022
Total2766282

Merged error: 0.0b

Counts
282 → 6

regimes346.0ms

Accuracy

97% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 25.0b

bsearch55.0ms

Steps
ItersRangePoint
8
1.3591990794494764e+66
4.1266864370833114e+68
2.8089106367080938e+66
9
-5.390869519443976e+66
-4.144836468798277e+57
-1.1478682003295026e+58

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06863
16863

end0.0ms

sample1.0s

Algorithm
intervals
Results
729.0ms8018×body80valid

Profiling

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