Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

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: 14.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.3b
(/ (* x (- y z)) (- t z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
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 distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series98.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
64.0ms
(/ (* x (- y z)) (- t z))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11209239
25001239

prune103.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh000
Picked011
Done000
Total56662

Merged error: 0.0b

Counts
62 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite32.0ms

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 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t z) (- y z))
140.0ms
(/ x (/ (- t z) (- y z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06331784
128631733
250011730

prune554.0ms

Filtered
200 candidates to 133 candidates (66.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh134
Picked011
Done011
Total1997206

Merged error: 0b

Counts
206 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite26.0ms

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 div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- y z) (- t z))
14.0ms
(* x (/ (- y z) (- t z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- t z))
65.0ms
(* x (/ (- y z) (- t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune177.0ms

Filtered
108 candidates to 70 candidates (64.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done022
Total1087115

Merged error: 0b

Counts
115 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.3b
(/ 1 (/ (/ (- t z) (- y z)) x))
2.3b
(/ (/ (- t z) (- y z)) x)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 611
Calls
3 calls:
8.0ms
(/ (- t z) (- y z))
27.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
17.0ms
(/ (/ (- t z) (- y z)) x)

series315.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (- t z) (- y z))
157.0ms
(/ 1 (/ (/ (- t z) (- y z)) x))
84.0ms
(/ (/ (- t z) (- y z)) x)

simplify114.0ms

Algorithm
egg-herbie
Counts
620 → 620
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
017607383
150026711

prune989.0ms

Filtered
620 candidates to 344 candidates (55.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New6200620
Fresh033
Picked011
Done033
Total6207627

Merged error: 0b

Counts
627 → 7

regimes143.0ms

Accuracy

-6.7% (2.2b remaining)

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

bsearch69.0ms

Steps
ItersRangePoint
9
3.4510099890326105e-162
1.8222587195312444e-155
1.162375149232944e-156
8
-1.688171996528057e-153
-8.668710857002485e-158
-4.8444112858028565e-157

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample469.0ms

Algorithm
intervals
Results
255.0ms8681×body80valid