Details

Time bar (total: 3.0s)

analyze612.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms11×body80invalid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.7b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
12.0ms
(/ x (* (- y z) (- t z)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
25.0ms
(/ x (* (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0300403
11371359
25001355

prune92.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New63669
Fresh000
Picked011
Done000
Total63770

Merged error: 0.0b

Counts
70 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
21.0ms
(cbrt x)
30.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05521080
12559955
25001866

prune123.0ms

Filtered
88 candidates to 122 candidates (-38.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1193122
Fresh235
Picked101
Done011
Total1227129

Merged error: 0b

Counts
129 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

1.7b
(/ (/ x (- t z)) (- y z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
195×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
21×associate-/l*
14×associate-/r/
7×flip3-- flip-- div-inv
6×add-exp-log add-cbrt-cube
5×associate-/r*
3×cbrt-undiv div-exp
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 148
Calls
1 calls:
12.0ms
(/ (/ x (- t z)) (- y z))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (/ x (- t z)) (- y z))

simplify63.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06191547
122641513
250011513

prune115.0ms

Filtered
100 candidates to 151 candidates (-51.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1492151
Fresh235
Picked101
Done011
Total1526158

Merged error: 0b

Counts
158 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.0b
(/ (/ x (- y z)) (- t z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- t z))

series35.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
28.0ms
(/ (/ x (- y z)) (- t z))

simplify63.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06361735
123041691
250011691

prune118.0ms

Filtered
126 candidates to 191 candidates (-51.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh044
Picked011
Done011
Total1916197

Merged error: 0b

Counts
197 → 6

regimes378.0ms

Accuracy

45.7% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02319
12319

end0.0ms

analyze420.0ms

Algorithm
search

sample469.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid
14.0ms378×body80invalid

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