Details

Time bar (total: 12.2s)

analyze1.9s

Algorithm
search

sample71.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
16.0ms161×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.3b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
0.7b
(/ 2.0 (* t 3.0))
3.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.6b
(/ (* z (sqrt (+ t a))) t)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube
15×add-exp-log
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
flip3-- flip--
frac-times
associate-*r*
pow1 times-frac associate-*r/ associate--r+ add-log-exp
distribute-rgt-in sub-neg distribute-lft-in
cbrt-undiv flip3-+ div-exp exp-sum associate-/r* flip-+ associate-/l*
associate-*l* prod-exp cbrt-unprod
frac-2neg sqrt-div associate-*l/ associate--l+ clear-num div-inv associate-/l/
diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 98
Calls
4 calls:
11.0ms
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series194.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
2.0ms
(/ 2.0 (* t 3.0))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010281552
150011437

prune234.0ms

Filtered
85 candidates to 110 candidates (-29.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1055110
Fresh000
Picked101
Done000
Total1065111

Merged error: 0.7b

Counts
111 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.7b
(/ 2.0 (* t 3.0))
2.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
61×times-frac
60×frac-sub
48×*-un-lft-identity
46×associate-*r*
39×frac-times
36×add-cube-cbrt
30×add-exp-log
28×cbrt-prod sqrt-prod
27×associate-*r/
25×flip3-- flip--
23×add-cbrt-cube
21×associate-*l/
10×unswap-sqr
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+
associate-*l*
pow1 distribute-lft-out associate--r+ add-log-exp
distribute-rgt-in sub-neg distribute-lft-in div-inv associate-/l*
associate--l+
frac-2neg pow1/3 diff-log pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt t)
5.0ms
(/ 2.0 (* t 3.0))
23.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
18.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
2.0ms
(/ 2.0 (* t 3.0))
20.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
59.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
018383675
150013561

prune456.0ms

Filtered
148 candidates to 191 candidates (-29.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1910191
Fresh044
Picked011
Done000
Total1915196

Merged error: 0.7b

Counts
196 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
0.7b
(/ 2.0 (* t 3.0))
3.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.6b
(/ (* z (sqrt (+ t a))) t)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube
15×add-exp-log
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
flip3-- flip--
frac-times
associate-*r*
pow1 times-frac associate-*r/ associate--r+ add-log-exp
distribute-rgt-in sub-neg distribute-lft-in
cbrt-undiv flip3-+ div-exp exp-sum associate-/r* flip-+ associate-/l*
associate-*l* prod-exp cbrt-unprod
frac-2neg sqrt-div associate-*l/ associate--l+ clear-num div-inv associate-/l/
diff-log pow-prod-down *-commutative unswap-sqr
Counts
4 → 98
Calls
4 calls:
14.0ms
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series193.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
2.0ms
(/ 2.0 (* t 3.0))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

simplify41.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010281552
150011437

prune241.0ms

Filtered
85 candidates to 110 candidates (-29.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done011
Total1105115

Merged error: 0.7b

Counts
115 → 5

localize32.0ms

Local error

Found 4 expressions with local error:

3.5b
(- (* b b) (* c c))
4.7b
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
6.1b
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.7b
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
532×associate-*r/
326×frac-sub
248×frac-times
220×flip3-+ flip-+
168×sqrt-div
139×flip3-- flip--
114×associate-/l/
90×associate-*l/
25×distribute-rgt-in distribute-lft-in
14×add-exp-log add-cbrt-cube
12×associate--r+
10×sub-neg associate--l+
pow1
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
times-frac associate-*l* pow-prod-down associate-/l*
cbrt-undiv diff-log div-exp associate-/r/
frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative div-inv difference-of-squares
Counts
4 → 333
Calls
4 calls:
4.0ms
(- (* b b) (* c c))
21.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
18.0ms
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
33.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* b b) (* c c))
152.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
30.0ms
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
226.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

simplify168.0ms

Algorithm
egg-herbie
Counts
345 → 345
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0349311654
1500111493

prune2.6s

Filtered
309 candidates to 345 candidates (-11.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3441345
Fresh112
Picked011
Done022
Total3455350

Merged error: 0.2b

Counts
350 → 5

regimes1.3s

Accuracy

47.9% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07568
17568

end0.0ms

analyze1.9s

Algorithm
search

sample2.0s

Algorithm
intervals
Results
898.0ms8000×body80valid
544.0ms4910×body80nan

Profiling

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