Details

Time bar (total: 3.7s)

analyze710.0ms

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms92×body80invalid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune12.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* d1 d2) (* d1 d3))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
3.0ms
(- (* d1 d2) (* d1 d3))
8.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
5.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series31.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (* d1 d2) (* d1 d3))
13.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
12.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify36.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0256378
11060326
25001293

prune268.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh101
Picked011
Done000
Total52456

Merged error: 0.0b

Counts
56 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- d3 (- d4 d1))
0.0b
(- (* d1 d2) (* d1 (- d3 (- d4 d1))))
0.0b
(* d1 (- d3 (- d4 d1)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
11×add-sqr-sqrt
10×add-log-exp
8×associate--r+
7×sub-neg distribute-lft-out--
6×distribute-rgt-in distribute-lft-in associate-*r*
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube associate--r-
4×diff-log
3×flip3-- associate-*l* flip--
2×associate-*r/ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 67
Calls
3 calls:
6.0ms
(- d3 (- d4 d1))
3.0ms
(- (* d1 d2) (* d1 (- d3 (- d4 d1))))
8.0ms
(* d1 (- d3 (- d4 d1)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- d3 (- d4 d1))
15.0ms
(- (* d1 d2) (* d1 (- d3 (- d4 d1))))
6.0ms
(* d1 (- d3 (- d4 d1)))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0257353
11070317
25002314

prune72.0ms

Filtered
49 candidates to 76 candidates (-55.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74276
Fresh112
Picked011
Done011
Total75580

Merged error: 0.0b

Counts
80 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* d1 d2) (cbrt (pow (* d1 (- d3 (- d4 d1))) 3)))
0.0b
(* d1 (- d3 (- d4 d1)))
0.3b
(pow (* d1 (- d3 (- d4 d1))) 3)
31.7b
(cbrt (pow (* d1 (- d3 (- d4 d1))) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ associate-*r* add-log-exp
4×cube-div flip3-- flip--
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in associate-*l* distribute-lft-out--
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod associate--r- rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 diff-log *-commutative rem-cbrt-cube difference-of-squares unswap-sqr
Counts
4 → 84
Calls
4 calls:
5.0ms
(- (* d1 d2) (cbrt (pow (* d1 (- d3 (- d4 d1))) 3)))
8.0ms
(* d1 (- d3 (- d4 d1)))
8.0ms
(pow (* d1 (- d3 (- d4 d1))) 3)
2.0ms
(cbrt (pow (* d1 (- d3 (- d4 d1))) 3))

series64.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (* d1 d2) (cbrt (pow (* d1 (- d3 (- d4 d1))) 3)))
6.0ms
(* d1 (- d3 (- d4 d1)))
30.0ms
(pow (* d1 (- d3 (- d4 d1))) 3)
9.0ms
(cbrt (pow (* d1 (- d3 (- d4 d1))) 3))

simplify66.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0406591
12019526
25002519

prune111.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done022
Total965101

Merged error: 0.0b

Counts
101 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- d4 d1) (- d4 d1))
4.2b
(- (* d3 d3) (* (- d4 d1) (- d4 d1)))
9.5b
(* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1))))
19.9b
(/ (* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1)))) (+ d3 (- d4 d1)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
9×flip3-- associate-*r* flip--
8×associate-*l* distribute-lft-out--
7×sub-neg swap-sqr
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp difference-of-squares
5×times-frac associate-/r*
4×frac-times distribute-lft-out associate--r+
3×prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg flip3-+ pow-plus diff-log clear-num pow-sqr pow-prod-up flip-+ div-inv associate-/l*
Counts
4 → 116
Calls
4 calls:
9.0ms
(* (- d4 d1) (- d4 d1))
4.0ms
(- (* d3 d3) (* (- d4 d1) (- d4 d1)))
6.0ms
(* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1))))
11.0ms
(/ (* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1)))) (+ d3 (- d4 d1)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- d4 d1) (- d4 d1))
15.0ms
(- (* d3 d3) (* (- d4 d1) (- d4 d1)))
17.0ms
(* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1))))
20.0ms
(/ (* d1 (- (* d3 d3) (* (- d4 d1) (- d4 d1)))) (+ d3 (- d4 d1)))

simplify81.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0490972
12654840
25001836

prune97.0ms

Filtered
77 candidates to 128 candidates (-66.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done033
Total1285133

Merged error: 0.0b

Counts
133 → 5

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

analyze727.0ms

Algorithm
search

sample716.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid
102.0ms2311×body80invalid

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