Details

Time bar (total: 14.7s)

sample84.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
23.0ms265×body80nan

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
23.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series347.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms
(/ (* z (sqrt (+ t a))) t)

simplify59.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013772637
150012324

prune833.0ms

Filtered
191 candidates to 137 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1883191
Fresh000
Picked101
Done000
Total1893192

Merged error: 0b

Counts
192 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.2b
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series885.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
182.0ms
(cbrt t)
181.0ms
(cbrt t)
341.0ms
(fma (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify43.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0144371
1345322
21221312
35001306

prune335.0ms

Filtered
61 candidates to 54 candidates (88.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh022
Picked011
Done000
Total61364

Merged error: 0b

Counts
64 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.3b
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
70×prod-diff
62×associate--r+
46×add-sqr-sqrt add-cube-cbrt
39×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
14×add-exp-log add-cbrt-cube distribute-lft-out
13×div-inv
12×log-prod
9×flip3-- exp-sum flip--
8×frac-times
7×fma-neg
6×associate-*r/ add-log-exp
5×pow1
4×cbrt-undiv expm1-log1p-u sub-neg flip3-+ div-exp associate-/r* log-pow flip-+ log1p-expm1-u associate-/l*
3×exp-prod
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×log-div exp-diff diff-log rem-log-exp
Counts
4 → 179
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
10.0ms
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
24.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series468.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 2.0 (* t 3.0))
184.0ms
(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
184.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify60.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013193046
150012658

prune910.0ms

Filtered
191 candidates to 139 candidates (72.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1910191
Fresh011
Picked011
Done011
Total1913194

Merged error: 0b

Counts
194 → 3

localize33.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
5.7b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
7.0b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
27.1b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
24×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod associate--r+
9×sub-neg prod-diff
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg fma-neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 455
Calls
4 calls:
8.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
19.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
42.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
59.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
194.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
612.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
721.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify331.0ms

Algorithm
egg-herbie
Counts
467 → 467
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
0490623936
1500123936

prune5.9s

Filtered
467 candidates to 433 candidates (92.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4670467
Fresh000
Picked011
Done022
Total4673470

Merged error: 0b

Counts
470 → 3

regimes296.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04222
14422
24422

end0.0ms

sample2.1s

Algorithm
intervals
Results
746.0ms8000×body80valid
702.0ms7836×body80nan

Profiling

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