Details

Time bar (total: 4.0s)

analyze657.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
3.0ms67×body80invalid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune11.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
14×add-log-exp
8×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
7×associate-*r*
6×add-sqr-sqrt associate-*r/
4×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube
3×associate-*l*
2×sub-neg associate-+l+ associate-+r+ flip3-+ flip-+
1×+-commutative distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
9.0ms
(+ (- d2 d3) (- d4 d1))
11.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (- d2 d3) (- d4 d1))
14.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify51.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0391410
11841378
25002378

prune65.0ms

Filtered
42 candidates to 64 candidates (-52.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New62264
Fresh011
Picked011
Done000
Total62466

Merged error: 0.0b

Counts
66 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

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:
8.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
5.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
3.0ms
(- (* d1 d2) (* d1 d3))

series30.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
10.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
7.0ms
(- (* d1 d2) (* d1 d3))

simplify38.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0256378
11060326
25001293

prune59.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh022
Picked011
Done011
Total53558

Merged error: 0b

Counts
58 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
2.1b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
2.1b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
2.1b
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
108×associate-*r/
102×cbrt-div
68×flip3-- frac-add flip--
36×frac-times
17×flip3-+ flip-+
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log associate-*l/
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 124
Calls
4 calls:
9.0ms
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
9.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
9.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
9.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))) (cbrt (* d1 (+ (- d2 d3) (- d4 d1)))))
98.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
98.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))
103.0ms
(cbrt (* d1 (+ (- d2 d3) (- d4 d1))))

simplify68.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05052892
117222812
250012756

prune163.0ms

Filtered
101 candidates to 136 candidates (-34.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done022
Total1365141

Merged error: 0b

Counts
141 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
0.6b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.6b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.6b
(cbrt (+ (- d2 d3) (- d4 d1)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
102×cbrt-div
93×cbrt-prod
68×flip3-- frac-add flip--
60×distribute-lft-out distribute-lft-out--
36×frac-times
30×swap-sqr
23×add-sqr-sqrt
17×flip3-+ flip-+
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×pow1/3
6×add-exp-log associate-*r/ associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 183
Calls
4 calls:
22.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
8.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
8.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))
52.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
55.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
53.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))

simplify69.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04893392
115913327
250013062

prune161.0ms

Filtered
106 candidates to 195 candidates (-84.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1950195
Fresh011
Picked011
Done033
Total1955200

Merged error: 0b

Counts
200 → 5

regimes290.0ms

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
0104
1104

end0.0ms

analyze638.0ms

Algorithm
search

sample662.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid
98.0ms2395×body80invalid

Profiling

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