Details

Time bar (total: 7.8s)

sample37.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02014
13714
28414
325214
462314
5141314
6381414
7500114

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
0.0b
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
1.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.0b
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
113×add-sqr-sqrt
103×*-un-lft-identity
57×add-cube-cbrt
18×difference-of-squares
14×distribute-lft-out
13×associate-/l*
11×pow1 add-exp-log add-cbrt-cube
9×swap-sqr
8×flip3-- flip-- distribute-lft-out-- add-log-exp
7×associate-*r* associate-*l*
6×div-inv
4×frac-times sub-neg associate-/r*
3×cbrt-undiv div-exp
2×distribute-rgt-in distribute-lft-in diff-log associate-*r/ associate-*l/ associate-/r/
1×pow2 frac-2neg flip3-+ pow-plus pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ associate-/l/ unswap-sqr
Counts
4 → 169
Calls
4 calls:
10.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
46.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
20.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
23.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))
4.0ms
(* (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))) (- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
4.0ms
(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06612029
129311895
250021844

prune381.0ms

Filtered
181 candidates to 125 candidates (30.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1801181
Fresh000
Picked101
Done000
Total1811182

Merged error: 0.0b

Counts
182 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
0.2b
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
1.0b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
1.0b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
400×times-frac
326×add-sqr-sqrt
298×*-un-lft-identity
174×add-cube-cbrt
164×unpow-prod-down cube-prod
64×difference-of-squares
52×distribute-lft-out
26×sqr-pow
20×div-inv
16×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×associate-/r/ add-log-exp
6×pow1 cbrt-undiv pow-unpow div-exp pow-exp rem-cube-cbrt
4×flip3-+ flip-+
2×difference-cubes cube-div cube-mult pow-to-exp sub-neg flip3-- pow-pow diff-log unpow3 flip--
Counts
4 → 376
Calls
4 calls:
18.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
16.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
71.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
72.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
4.0ms
(pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3)
5.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
5.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

simplify87.0ms

Algorithm
egg-herbie
Counts
388 → 388
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011404970
150024716

prune2.2s

Filtered
388 candidates to 168 candidates (56.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3871388
Fresh000
Picked011
Done000
Total3872389

Merged error: 0b

Counts
389 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))) (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))))
1.0b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
1.0b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
1.0b
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

rewrite440.0ms

Algorithm
rewrite-expression-head
Rules
844×add-sqr-sqrt
328×difference-of-squares
302×sqrt-prod
280×unpow-prod-down cube-prod
264×times-frac
136×*-un-lft-identity
112×swap-sqr
100×sqr-pow
61×distribute-lft-out--
44×associate-*r* associate-*l*
19×pow1
12×add-cube-cbrt sqrt-div
10×add-log-exp
9×flip3-- flip--
8×sqrt-pow1 pow1/2
7×difference-cubes
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×sub-neg diff-log pow-prod-down pow-sqr
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 387
Calls
4 calls:
177.0ms
(* (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))) (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))))
74.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
72.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
72.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

series21.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))) (sqrt (- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))))
5.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
5.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))
5.0ms
(- (pow 2.0 3) (pow (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))) 3))

simplify137.0ms

Algorithm
egg-herbie
Counts
399 → 399
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04876419
119116281
250016245

prune3.1s

Filtered
399 candidates to 163 candidates (59.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3990399
Fresh000
Picked011
Done011
Total3992401

Merged error: 0b

Counts
401 → 2

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03064
13064

end0.0ms

sample712.0ms

Algorithm
intervals
Results
548.0ms8000×body80valid

Profiling

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