Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
14.0ms286×body80valid
5.0ms116×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1457
2677
3947
41157
51157

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: 25.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
4.2b
(* (* x y) z)
9.9b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
24.3b
(sqrt (- (* z z) (* t a)))

rewrite23.0ms

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))
5.0ms
(* (* x y) z)
9.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
4.0ms
(sqrt (- (* z z) (* t a)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (* z z) (* t a))
26.0ms
(* (* x y) z)
80.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
61.0ms
(sqrt (- (* z z) (* t a)))

simplify52.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0346584
11863515
25001510

prune212.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 4.2b

Counts
89 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.8b
(- (* z z) (* t a))
2.6b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
24.3b
(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))
12.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
4.0ms
(sqrt (- (* z z) (* t a)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ z (sqrt (- (* z z) (* t a))))
32.0ms
(- (* z z) (* t a))
81.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
63.0ms
(sqrt (- (* z z) (* t a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04311015
12166912
25002893

prune244.0ms

Filtered
124 candidates to 83 candidates (66.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh156
Picked011
Done000
Total1238131

Merged error: 4.2b

Counts
131 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
1.4b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
2.4b
(* y (/ z (sqrt (- (* z z) (* t a)))))
24.3b
(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
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
11.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
4.0ms
(sqrt (- (* z z) (* t a)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (* z z) (* t a))
81.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
55.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
61.0ms
(sqrt (- (* z z) (* t a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0403775
11781676
25001667

prune198.0ms

Filtered
104 candidates to 67 candidates (64.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh156
Picked011
Done011
Total1048112

Merged error: 4.2b

Counts
112 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
1.4b
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
9.2b
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
24.3b
(sqrt (- (* z z) (* t a)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
34×add-cbrt-cube
33×prod-exp
25×associate-*r*
20×add-sqr-sqrt
19×pow1 add-cube-cbrt *-un-lft-identity
18×times-frac
17×cbrt-unprod
12×sqrt-prod
9×pow-prod-down
8×div-exp
6×add-log-exp
4×cbrt-undiv rec-exp sqrt-div 1-exp associate-*r/ associate-*l*
3×flip3-- flip--
2×associate-/r/ un-div-inv *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-inv
Counts
4 → 107
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
13.0ms
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
13.0ms
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
4.0ms
(sqrt (- (* z z) (* t a)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* z z) (* t a))
81.0ms
(* x (* (* y z) (/ 1 (sqrt (- (* z z) (* t a))))))
52.0ms
(* (* y z) (/ 1 (sqrt (- (* z z) (* t a)))))
61.0ms
(sqrt (- (* z z) (* t a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0528962
12744778
25001752

prune193.0ms

Filtered
119 candidates to 67 candidates (56.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh055
Picked011
Done022
Total1189127

Merged error: 4.2b

Counts
127 → 9

regimes281.0ms

Accuracy

82.9% (3.3b remaining)

Error of 6.5b against oracle of 3.3b and baseline of 22.4b

bsearch91.0ms

Steps
ItersRangePoint
9
8.149038430055517e+90
6.880911921662561e+96
2.2035471231129058e+95
9
-4.114738767549841e+155
-6.172735544427594e+149
-6.910396440761559e+152

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
13110
23110

end0.0ms

sample934.0ms

Algorithm
intervals
Results
437.0ms8854×body80valid
136.0ms2954×body80nan

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