Details

Time bar (total: 2.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms311×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 x) y)
8.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune52.0ms

Filtered
29 candidates to 39 candidates (-34.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.1b
(* (sqrt (- 1.0 x)) y)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*l*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
11.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
6.0ms
(* (sqrt (- 1.0 x)) y)
11.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
12.0ms
(* (sqrt (- 1.0 x)) y)
5.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0400572
11449497
25001485

prune111.0ms

Filtered
52 candidates to 77 candidates (-48.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh022
Picked011
Done011
Total76581

Merged error: 0b

Counts
81 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (sqrt (- 1.0 x)) y)) (cbrt (* (sqrt (- 1.0 x)) y)))
0.4b
(cbrt (* (sqrt (- 1.0 x)) y))
0.4b
(cbrt (* (sqrt (- 1.0 x)) y))
0.4b
(cbrt (* (sqrt (- 1.0 x)) y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div sqrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* (sqrt (- 1.0 x)) y)) (cbrt (* (sqrt (- 1.0 x)) y)))
9.0ms
(cbrt (* (sqrt (- 1.0 x)) y))
9.0ms
(cbrt (* (sqrt (- 1.0 x)) y))
9.0ms
(cbrt (* (sqrt (- 1.0 x)) y))

series106.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (* (sqrt (- 1.0 x)) y)) (cbrt (* (sqrt (- 1.0 x)) y)))
26.0ms
(cbrt (* (sqrt (- 1.0 x)) y))
29.0ms
(cbrt (* (sqrt (- 1.0 x)) y))
26.0ms
(cbrt (* (sqrt (- 1.0 x)) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
04021108
112561017
25002942

prune268.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.2b
(* (* x z) (* x z))
5.4b
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
28.1b
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 associate-*r/ swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 125
Calls
4 calls:
11.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
6.0ms
(* (* x z) (* x z))
12.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
22.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
6.0ms
(* (* x z) (* x z))
25.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
49.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05611315
128711117
250011096

prune129.0ms

Filtered
73 candidates to 137 candidates (-87.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done033
Total1375142

Merged error: 0b

Counts
142 → 5

regimes207.0ms

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
0114
1114

end0.0ms

sample638.0ms

Algorithm
intervals
Results
277.0ms10016×body80valid

Profiling

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