Details

Time bar (total: 3.6s)

sample48.0ms

Algorithm
intervals
Results
27.0ms289×body80valid

simplify58.0ms

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: 30.9b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b
(* (+ (* z 3.13060547623) 11.1667541262) z)
1.4b
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.8b
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite67.0ms

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:
13.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
18.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series730.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
67.0ms
(* (+ (* z 3.13060547623) 11.1667541262) z)
164.0ms
(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
439.0ms
(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify81.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05731240
128061065
250011065

prune405.0ms

Filtered
99 candidates to 72 candidates (72.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92799
Fresh000
Picked011
Done000
Total928100

Merged error: 2.7b

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))

rewrite10.0ms

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))

series55.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* 1.6453555072203998 (* y b)))
20.0ms
(* 1.6453555072203998 (* y b))

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149139
1529122
22246122
35002122

prune79.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh156
Picked101
Done011
Total34943

Merged error: 2.7b

Counts
43 → 9

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)

series54.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (* 1.6453555072203998 y) b))
20.0ms
(* (* 1.6453555072203998 y) b)

simplify116.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0163140
1771123
23811123
35002123

prune83.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh077
Picked101
Done011
Total35944

Merged error: 2.7b

Counts
44 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series739.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt b) (cbrt b))
176.0ms
(cbrt b)
182.0ms
(cbrt b)
177.0ms
(cbrt b)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune194.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh077
Picked101
Done011
Total85994

Merged error: 2.7b

Counts
94 → 9

regimes665.0ms

bsearch8.0ms

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