Details

Time bar (total: 3.6s)

sample42.0ms

Algorithm
intervals
Results
14.0ms282×body80valid
4.0ms85×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08614
18614

prune14.0ms

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: 23.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* z z) (* t a))
1.9b
(* y (/ z (sqrt (- (* z z) (* t a)))))
1.9b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
26.6b
(sqrt (- (* z z) (* t a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
18×add-exp-log add-cbrt-cube
13×sqrt-prod
12×pow1
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×sqrt-div pow-prod-down
3×flip3-- associate-*r/ flip-- unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-inv
Counts
4 → 92
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
10.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
12.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
3.0ms
(sqrt (- (* z z) (* t a)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* z z) (* t a))
18.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
29.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
052141242

prune140.0ms

Filtered
70 candidates to 104 candidates (-48.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh011
Picked101
Done000
Total988106

Merged error: 3.3b

Counts
106 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.6b
(- (* z z) (* t a))
3.1b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
26.6b
(sqrt (- (* z z) (* t a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
24×associate-*r* sqrt-prod
18×add-exp-log add-cbrt-cube
10×pow1
6×sqrt-div prod-exp associate-/r* cbrt-unprod add-log-exp
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×div-inv
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 112
Calls
4 calls:
6.0ms
(/ z (sqrt (- (* z z) (* t a))))
3.0ms
(- (* z z) (* t a))
13.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
3.0ms
(sqrt (- (* z z) (* t a)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ z (sqrt (- (* z z) (* t a))))
11.0ms
(- (* z z) (* t a))
48.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
13.0ms
(sqrt (- (* z z) (* t a)))

simplify99.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
049591644
149591644

prune143.0ms

Filtered
84 candidates to 124 candidates (-47.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1195124
Fresh167
Picked011
Done000
Total12012132

Merged error: 3.2b

Counts
132 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* z z) (* t a))
1.2b
(* x (* y (* (cbrt z) (/ (cbrt z) (fabs (cbrt (- (* z z) (* t a))))))))
27.6b
(cbrt (- (* z z) (* t a)))
27.6b
(cbrt (- (* z z) (* t a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×add-cbrt-cube
13×pow1
9×prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod pow-prod-down add-log-exp
4×cbrt-div
3×flip3-- associate-*r/ associate-*l* flip--
2×pow1/3
1×cbrt-undiv sub-neg diff-log div-exp associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
9.0ms
(* x (* y (* (cbrt z) (/ (cbrt z) (fabs (cbrt (- (* z z) (* t a))))))))
3.0ms
(cbrt (- (* z z) (* t a)))
3.0ms
(cbrt (- (* z z) (* t a)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* z z) (* t a))
59.0ms
(* x (* y (* (cbrt z) (/ (cbrt z) (fabs (cbrt (- (* z z) (* t a))))))))
22.0ms
(cbrt (- (* z z) (* t a)))
24.0ms
(cbrt (- (* z z) (* t a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04955975
14955975

prune124.0ms

Filtered
52 candidates to 74 candidates (-42.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh01010
Picked011
Done011
Total741286

Merged error: 3.2b

Counts
86 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* z z) (* t a))
5.8b
(* (* x y) z)
7.2b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
26.6b
(sqrt (- (* z z) (* t a)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×sqrt-prod
6×times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
4×sqrt-div
3×cbrt-undiv flip3-- div-exp associate-*r* pow-prod-down flip--
2×associate-/r/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
4.0ms
(* (* x y) z)
9.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
(sqrt (- (* z z) (* t a)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* z z) (* t a))
5.0ms
(* (* x y) z)
31.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify32.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04973976
14973976

prune73.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New84488
Fresh369
Picked101
Done022
Total8812100

Merged error: 3.2b

Counts
100 → 12

regimes1.1s

Accuracy

87% (2.5b remaining)

Error of 6.0b against oracle of 3.4b and baseline of 22.9b

bsearch65.0ms

Steps
ItersRangePoint
11
4.469594284204643e+116
1.8200943889705879e+137
7.381928982606723e+116
9
-3.8095654050866245e+140
-3.660489123272618e+133
-1.4109285273931826e+134

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03847
13847

end0.0ms

sample1.2s

Algorithm
intervals
Results
445.0ms8861×body80valid
136.0ms2883×body80nan

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