Details

Time bar (total: 2.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms320×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049309
149309

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ (+ y 1.0) z)) x)
0.0b
(/ (+ y 1.0) z)
4.0b
(* x (/ (+ y 1.0) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 80
Calls
3 calls:
7.0ms
(- (* x (/ (+ y 1.0) z)) x)
5.0ms
(/ (+ y 1.0) z)
9.0ms
(* x (/ (+ y 1.0) z))

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (* x (/ (+ y 1.0) z)) x)
4.0ms
(/ (+ y 1.0) z)
9.0ms
(* x (/ (+ y 1.0) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05158806

prune113.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85489
Fresh011
Picked011
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ flip-+
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

series122.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
22.0ms
(cbrt z)
26.0ms
(cbrt z)
49.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05038666

prune129.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done011
Total72678

Merged error: 0.0b

Counts
78 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x (+ y 1.0)) z) x)
0.0b
(* x (+ y 1.0))
4.5b
(/ (* x (+ y 1.0)) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative flip-- div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 60
Calls
3 calls:
8.0ms
(- (/ (* x (+ y 1.0)) z) x)
6.0ms
(* x (+ y 1.0))
6.0ms
(/ (* x (+ y 1.0)) z)

series22.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ (* x (+ y 1.0)) z) x)
5.0ms
(* x (+ y 1.0))
8.0ms
(/ (* x (+ y 1.0)) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04972590
14972590

prune73.0ms

Filtered
45 candidates to 69 candidates (-53.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New67269
Fresh303
Picked011
Done022
Total70575

Merged error: 0.0b

Counts
75 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ z (* x (+ y 1.0)))) x)
0.0b
(* x (+ y 1.0))
0.3b
(/ 1 (/ z (* x (+ y 1.0))))
4.5b
(/ z (* x (+ y 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
35×add-sqr-sqrt
32×add-exp-log *-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-+ flip-+ associate-/l* add-log-exp
5×prod-exp
4×associate-*r*
3×rec-exp 1-exp associate-*l* cbrt-unprod difference-of-squares
2×frac-2neg clear-num distribute-lft-out--
1×distribute-rgt-in sub-neg flip3-- pow-flip distribute-lft-in diff-log pow-prod-down *-commutative flip-- distribute-lft-out inv-pow unswap-sqr
Counts
4 → 127
Calls
4 calls:
17.0ms
(- (/ 1 (/ z (* x (+ y 1.0)))) x)
6.0ms
(* x (+ y 1.0))
9.0ms
(/ 1 (/ z (* x (+ y 1.0))))
6.0ms
(/ z (* x (+ y 1.0)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (/ 1 (/ z (* x (+ y 1.0)))) x)
5.0ms
(* x (+ y 1.0))
9.0ms
(/ 1 (/ z (* x (+ y 1.0))))
9.0ms
(/ z (* x (+ y 1.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049691465
149691465

prune127.0ms

Filtered
86 candidates to 139 candidates (-61.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1381139
Fresh011
Picked011
Done123
Total1395144

Merged error: 0b

Counts
144 → 5

regimes161.0ms

Accuracy

94.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch33.0ms

Steps
ItersRangePoint
6
2.0769376700062457e-18
1.6843231074270344e-17
4.854185712318351e-18
11
-8.840560605974921e-06
-1.3504568545596814e-30
-6.8275854788708345e-09

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03527
13527

end0.0ms

sample654.0ms

Algorithm
intervals
Results
287.0ms10151×body80valid

Profiling

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