Details

Time bar (total: 3.6s)

sample53.0ms

Algorithm
intervals
Results
25.0ms296×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
4.2b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.2b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
12.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
18.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series200.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
11.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
49.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
134.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify79.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune217.0ms

Filtered
72 candidates to 99 candidates (-37.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New92799
Fresh000
Picked101
Done000
Total937100

Merged error: 3.3b

Counts
100 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1.6453555072203998 (* y b)))
0.2b
(* 1.6453555072203998 (* y b))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* 1.6453555072203998 (* y b)))
4.0ms
(* 1.6453555072203998 (* y b))

simplify74.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune76.0ms

Filtered
22 candidates to 35 candidates (-59.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh246
Picked011
Done000
Total33942

Merged error: 3.3b

Counts
42 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
0.3b
(* 36.527041698806414 (/ y z))
2.2b
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
13.4b
(/ (* t y) (pow z 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
21×add-sqr-sqrt
18×*-un-lft-identity times-frac add-log-exp
16×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r*
8×associate-/r*
7×div-exp
6×pow1 unpow-prod-down
5×prod-exp sum-log
4×diff-log
3×cbrt-undiv associate-+r+ associate-*r/ associate-*l* cbrt-unprod
2×pow-to-exp sub-neg flip3-+ pow-exp associate--l+ frac-sub flip-+ div-inv unpow2 unswap-sqr sqr-pow
1×+-commutative associate-+r- flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- distribute-lft-out associate-/l*
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
6.0ms
(* 36.527041698806414 (/ y z))
9.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
6.0ms
(/ (* t y) (pow z 2))

series47.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ x (- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z))))
3.0ms
(* 36.527041698806414 (/ y z))
13.0ms
(- (+ (* 3.13060547623 y) (/ (* t y) (pow z 2))) (* 36.527041698806414 (/ y z)))
8.0ms
(/ (* t y) (pow z 2))

simplify69.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0550772
12589718
25001718

prune172.0ms

Filtered
75 candidates to 113 candidates (-50.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1103113
Fresh347
Picked101
Done011
Total1148122

Merged error: 0b

Counts
122 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
0.3b
(* 36.527041698806414 (/ y z))
2.2b
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
2.7b
(* (/ t z) (/ y z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
32×times-frac
26×add-cube-cbrt *-un-lft-identity associate-*r*
21×add-exp-log add-cbrt-cube
16×associate-*l*
11×add-log-exp
8×pow1
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-undiv div-exp
4×associate-*r/
3×div-inv
2×flip3-+ diff-log pow-prod-down sum-log *-commutative frac-sub flip-+
1×+-commutative frac-times sub-neg flip3-- associate-*l/ associate--l+ flip--
Counts
4 → 109
Calls
4 calls:
4.0ms
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
6.0ms
(* 36.527041698806414 (/ y z))
5.0ms
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
10.0ms
(* (/ t z) (/ y z))

series38.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* 3.13060547623 y) (* (/ t z) (/ y z)))
3.0ms
(* 36.527041698806414 (/ y z))
16.0ms
(- (+ (* 3.13060547623 y) (* (/ t z) (/ y z))) (* 36.527041698806414 (/ y z)))
7.0ms
(* (/ t z) (/ y z))

simplify71.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0571771
12674698
25002694

prune112.0ms

Filtered
85 candidates to 121 candidates (-42.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh066
Picked011
Done011
Total1218129

Merged error: 0b

Counts
129 → 8

regimes761.0ms

Accuracy

97.2% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 26.7b

bsearch82.0ms

Steps
ItersRangePoint
10
28444.09340160374
8.783627995363305e+17
1.2268676778267848e+17
10
-4.1641272033315676e+74
-1.5292837248943393e+60
-1.6396988611199015e+60

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06927
16927

end0.0ms

sample1.3s

Algorithm
intervals
Results
771.0ms8900×body80valid

Profiling

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