Details

Time bar (total: 6.8s)

sample39.0ms

Algorithm
intervals
Results
20.0ms331×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

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: 5.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
41.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
32.0ms
(/ t (- 1.0 z))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify247.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New92313936
Fresh000
Picked101
Done000
Total92413937

Merged error: 0.3b

Counts
937 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.2b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
5.0b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
3.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ t (- 1.0 z))
44.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
57.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0303522
11110468
25001463

prune195.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh21012
Picked011
Done000
Total801393

Merged error: 0.0b

Counts
93 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.0b
(* x (fma (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) z) (- (/ t (- 1.0 z)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
3.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) z) (- (/ t (- 1.0 z)))))

series705.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
172.0ms
(cbrt y)
182.0ms
(cbrt y)
180.0ms
(* x (fma (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) z) (- (/ t (- 1.0 z)))))

simplify108.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0177472
1691408
23934379
35001364

prune225.0ms

Filtered
73 candidates to 61 candidates (83.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh01111
Picked011
Done011
Total731386

Merged error: 0.0b

Counts
86 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.4b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
776×times-frac
704×add-sqr-sqrt
701×*-un-lft-identity
546×prod-diff
534×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
82×distribute-lft-out-- difference-of-squares
68×div-inv
52×associate-/r/
30×flip3-- flip--
12×associate-*r/
10×associate-*r*
9×cbrt-div
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u frac-sub log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l*
2×sub-neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 622
Calls
4 calls:
41.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
18.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
18.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series745.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
231.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
231.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
232.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify184.0ms

Algorithm
egg-herbie
Counts
634 → 634
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
0164919231
1500115423

prune1.1s

Filtered
634 candidates to 219 candidates (34.5%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New6340634
Fresh01010
Picked011
Done022
Total63413647

Merged error: 0.0b

Counts
647 → 13

regimes425.0ms

Accuracy

91.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.5b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04950
15350
25450
35450

end0.0ms

sample608.0ms

Algorithm
intervals
Results
356.0ms10150×body80valid

Profiling

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