Details

Time bar (total: 3.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms273×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1217
2217

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.0b
(+ (* a c) (* b d))
28.0b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×+-commutative fma-def sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* c c) (* d d))
32.0ms
(+ (* a c) (* b d))
80.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify150.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0290532
11199475
24872462
35001462

prune182.0ms

Filtered
70 candidates to 57 candidates (81.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New61970
Fresh000
Picked101
Done000
Total62971

Merged error: 14.8b

Counts
71 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a c (* b d))
0.0b
(/ 1 (* (hypot c d) 1))
0.2b
(* (/ 1 (* (hypot c d) 1)) (/ (fma a c (* b d)) (* (hypot c d) 1)))
14.6b
(/ (fma a c (* b d)) (* (hypot c d) 1))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
170×add-exp-log
92×prod-exp
63×div-exp
50×add-cbrt-cube
41×1-exp
17×cbrt-unprod
16×cbrt-undiv
15×rec-exp
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
9×pow1
7×associate-*r* associate-*l*
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×pow-flip frac-2neg pow-prod-down clear-num associate-/r*
1×frac-times associate-*r/ associate-*l/ *-commutative fma-udef inv-pow unswap-sqr
Counts
4 → 145
Calls
4 calls:
1.0ms
(fma a c (* b d))
5.0ms
(/ 1 (* (hypot c d) 1))
11.0ms
(* (/ 1 (* (hypot c d) 1)) (/ (fma a c (* b d)) (* (hypot c d) 1)))
5.0ms
(/ (fma a c (* b d)) (* (hypot c d) 1))

series379.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma a c (* b d))
49.0ms
(/ 1 (* (hypot c d) 1))
174.0ms
(* (/ 1 (* (hypot c d) 1)) (/ (fma a c (* b d)) (* (hypot c d) 1)))
117.0ms
(/ (fma a c (* b d)) (* (hypot c d) 1))

simplify48.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04861191
11654892
25002884

prune241.0ms

Filtered
157 candidates to 77 candidates (49.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1489157
Fresh718
Picked101
Done000
Total15610166

Merged error: 5.3b

Counts
166 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma a c (* b d))
0.1b
(/ (/ (fma a c (* b d)) (hypot c d)) (* (hypot c d) 1))
14.6b
(/ (fma a c (* b d)) (hypot c d))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×add-exp-log
17×add-cbrt-cube
16×associate-/l*
10×div-exp
7×cbrt-undiv
4×prod-exp associate-/r* div-inv
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg 1-exp clear-num cbrt-unprod
1×fma-udef associate-/l/
Counts
3 → 89
Calls
3 calls:
1.0ms
(fma a c (* b d))
12.0ms
(/ (/ (fma a c (* b d)) (hypot c d)) (* (hypot c d) 1))
5.0ms
(/ (fma a c (* b d)) (hypot c d))

series270.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma a c (* b d))
111.0ms
(/ (/ (fma a c (* b d)) (hypot c d)) (* (hypot c d) 1))
122.0ms
(/ (fma a c (* b d)) (hypot c d))

simplify85.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0297767
11133677
23251677
35001670

prune233.0ms

Filtered
98 candidates to 75 candidates (76.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh459
Picked011
Done000
Total9810108

Merged error: 5.3b

Counts
108 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma a c (* b d))
0.1b
(/ (/ 1 (/ (hypot c d) (fma a c (* b d)))) (* (hypot c d) 1))
0.2b
(/ 1 (/ (hypot c d) (fma a c (* b d))))
14.6b
(/ (hypot c d) (fma a c (* b d)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
260×times-frac
124×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×add-exp-log
50×div-exp associate-/l*
32×add-cbrt-cube
17×associate-/r*
16×cbrt-undiv
15×1-exp div-inv
14×prod-exp
8×rec-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/r/ cbrt-unprod
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
4 → 246
Calls
4 calls:
1.0ms
(fma a c (* b d))
12.0ms
(/ (/ 1 (/ (hypot c d) (fma a c (* b d)))) (* (hypot c d) 1))
6.0ms
(/ 1 (/ (hypot c d) (fma a c (* b d))))
6.0ms
(/ (hypot c d) (fma a c (* b d)))

series566.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma a c (* b d))
326.0ms
(/ (/ 1 (/ (hypot c d) (fma a c (* b d)))) (* (hypot c d) 1))
110.0ms
(/ 1 (/ (hypot c d) (fma a c (* b d))))
90.0ms
(/ (hypot c d) (fma a c (* b d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07952590
136872260
250012098

prune399.0ms

Filtered
258 candidates to 141 candidates (54.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2571258
Fresh178
Picked011
Done011
Total25810268

Merged error: 5.3b

Counts
268 → 10

regimes165.0ms

Accuracy

27.3% (8.1b remaining)

Error of 13.9b against oracle of 5.8b and baseline of 17.0b

bsearch50.0ms

Steps
ItersRangePoint
6
4.658876118741473e+38
5.280048301872741e+39
5.204112956458818e+39
6
-7.241639392966628e+175
-7.6320301140404966e+174
-8.741080840408781e+174

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
13014
23014

end0.0ms

sample509.0ms

Algorithm
intervals
Results
293.0ms8502×body80valid

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