Details

Time bar (total: 5.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms279×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

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: 14.8b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.0b
(/ (* x (- y z)) (- t z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
7.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* x (- y z))
71.0ms
(/ (* x (- y z)) (- t z))

simplify53.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune140.0ms

Filtered
83 candidates to 46 candidates (55.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New74983
Fresh000
Picked011
Done000
Total741084

Merged error: 0.0b

Counts
84 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.7b
(/ x (/ (- t z) (- y z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
11.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- t z) (- y z))
154.0ms
(/ x (/ (- t z) (- y z)))

simplify86.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06421801
128871748
250011745

prune408.0ms

Filtered
204 candidates to 137 candidates (67.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2004204
Fresh628
Picked011
Done011
Total2068214

Merged error: 0b

Counts
214 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
17.0ms
(* x (/ (- y z) (- t z)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- t z))
67.0ms
(* x (/ (- y z) (- t z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0356664
11414623
25001623

prune200.0ms

Filtered
112 candidates to 74 candidates (66.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done022
Total1128120

Merged error: 0b

Counts
120 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (cbrt x) (/ (- t z) (- y z)))
1.6b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
703×times-frac
547×add-sqr-sqrt
536×*-un-lft-identity
276×add-cube-cbrt
197×cbrt-prod
191×associate-*r*
130×distribute-lft-out-- difference-of-squares
31×associate-/r*
30×add-exp-log
28×associate-/r/
18×add-cbrt-cube
15×div-inv
13×flip3-- flip--
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 488
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
52.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
200.0ms
(cbrt x)
520.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
186.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
500 → 500
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
015835697
150015228

prune1.5s

Filtered
500 candidates to 351 candidates (70.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5000500
Fresh044
Picked011
Done033
Total5008508

Merged error: 0b

Counts
508 → 8

regimes185.0ms

Accuracy

-5.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch74.0ms

Steps
ItersRangePoint
8
0.002530849181923155
4.265898263168925
0.0025719360646465723
8
-1.383421886323039e-209
-2.698833154443091e-214
-1.3913491401814802e-213

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02012
12012

end0.0ms

sample464.0ms

Algorithm
intervals
Results
239.0ms8724×body80valid