Details

Time bar (total: 2.5m)

sample98.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
22.0ms251×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune8.0ms

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: 4.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.5b
(/ (* z (sqrt (+ t a))) t)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
4.0ms
(/ 2.0 (* t 3.0))
14.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series455.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* z (sqrt (+ t a)))
19.0ms
(/ 2.0 (* t 3.0))
212.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
120.0ms
(/ (* z (sqrt (+ t a))) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune3.0s

Filtered
113 candidates to 88 candidates (22.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 0.2b

Counts
114 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ (sqrt (+ t a)) t)
0.6b
(* z (/ (sqrt (+ t a)) t))
2.4b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-sub
19×associate-*r/
16×add-exp-log add-cbrt-cube
10×associate-/l*
9×flip3-- flip--
8×frac-times
7×distribute-lft-out
6×pow1 associate--r+ add-log-exp
4×cbrt-undiv flip3-+ div-exp associate-/r* flip-+
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×frac-2neg sqrt-div associate-*l/ associate--l+ clear-num associate-/l/
1×diff-log pow-prod-down *-commutative
Counts
4 → 143
Calls
4 calls:
4.0ms
(/ 2.0 (* t 3.0))
6.0ms
(/ (sqrt (+ t a)) t)
10.0ms
(* z (/ (sqrt (+ t a)) t))
12.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 2.0 (* t 3.0))
103.0ms
(/ (sqrt (+ t a)) t)
122.0ms
(* z (/ (sqrt (+ t a)) t))
216.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010611576
150021520

prune4.5s

Filtered
155 candidates to 112 candidates (27.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1550155
Fresh033
Picked011
Done000
Total1554159

Merged error: 0.2b

Counts
159 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.9b
(log (exp (/ 2.0 (* t 3.0))))
3.5b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.5b
(/ (* z (sqrt (+ t a))) t)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series383.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 2.0 (* t 3.0))
22.0ms
(log (exp (/ 2.0 (* t 3.0))))
215.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
127.0ms
(/ (* z (sqrt (+ t a))) t)

simplify83.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07631016
13784927
25001926

prune2.6s

Filtered
101 candidates to 79 candidates (21.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0.2b

Counts
105 → 4

localize37.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.4b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
6.0b
(- (* (* 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)))))
25.2b
(/ (- (* (* 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))))

rewrite190.0ms

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
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 437
Calls
4 calls:
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
18.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
38.0ms
(- (* (* 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)))))
53.0ms
(/ (- (* (* 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))))

series2.1s

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
223.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
933.0ms
(- (* (* 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)))))
918.0ms
(/ (- (* (* 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))))

simplify313.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (98.0ms)

IterNodesCost
0464024427
1500124209

prune1.1m

Filtered
449 candidates to 410 candidates (8.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4481449
Fresh011
Picked011
Done112
Total4494453

Merged error: 0.0b

Counts
453 → 4

regimes782.0ms

Accuracy

13.2% (2.8b remaining)

Error of 3.1b against oracle of 0.2b and baseline of 3.5b

bsearch411.0ms

Steps
ItersRangePoint
6
1.528294539485104e-257
7.977925369123807e-257
5.659772242836497e-257
10
-2.0762867966947342e+30
-7.554813443320801e+19
-7.679523641436642e+19

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07651
17651

end0.0ms

sample2.5s

Algorithm
intervals
Results
706.0ms8000×body80valid
684.0ms8040×body80nan

end1.1m

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