Details

Time bar (total: 3.5s)

sample44.0ms

Algorithm
intervals
Results
22.0ms284×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05518
111618
232918
393518
4287618
5500118

prune5.0ms

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: 31.7b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
2.1b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.7b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite59.0ms

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:
9.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms
(* 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))

series724.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
66.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
170.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
449.0ms
(/ (* 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 (16.0ms)

IterNodesCost
05871179
12851995
25002995

prune399.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh000
Picked011
Done000
Total928100

Merged error: 3.6b

Counts
100 → 8

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:
3.0ms
(+ x (* 1.6453555072203998 (* y b)))
5.0ms
(* 1.6453555072203998 (* y b))

series59.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* 1.6453555072203998 (* y b)))
23.0ms
(* 1.6453555072203998 (* y b))

simplify74.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune93.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh156
Picked101
Done011
Total321143

Merged error: 3.6b

Counts
43 → 11

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-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ x (* (* 1.6453555072203998 y) b))
5.0ms
(* (* 1.6453555072203998 y) b)

series56.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* (* 1.6453555072203998 y) b))
20.0ms
(* (* 1.6453555072203998 y) b)

simplify110.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0163140
1771123
23811123
35002123

prune93.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh099
Picked101
Done011
Total351146

Merged error: 3.6b

Counts
46 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
13.9b
(cbrt (* 1.6453555072203998 (* y b)))
13.9b
(cbrt (* 1.6453555072203998 (* y b)))
13.9b
(cbrt (* 1.6453555072203998 (* y b)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
6.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))
4.0ms
(cbrt (* 1.6453555072203998 (* y b)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
98.0ms
(cbrt (* 1.6453555072203998 (* y b)))
101.0ms
(cbrt (* 1.6453555072203998 (* y b)))
100.0ms
(cbrt (* 1.6453555072203998 (* y b)))

simplify104.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0205441
1703390
23412322
35001315

prune180.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh189
Picked101
Done011
Total691281

Merged error: 3.6b

Counts
81 → 12

regimes798.0ms

bsearch9.0ms

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