Details

Time bar (total: 6.8s)

sample97.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
25.0ms279×body80nan

simplify34.0ms

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: 4.5b

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))
3.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite34.0ms

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))
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)

series82.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
52.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune415.0ms

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: 0.7b

Counts
114 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
1.6b
(* z (/ (sqrt (+ t a)) t))
3.3b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite42.0ms

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:
6.0ms
(/ (sqrt (+ t a)) t)
4.0ms
(/ 2.0 (* t 3.0))
13.0ms
(* z (/ (sqrt (+ t a)) t))
12.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (sqrt (+ t a)) t)
2.0ms
(/ 2.0 (* t 3.0))
19.0ms
(* z (/ (sqrt (+ t a)) t))
50.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify45.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010611576
150021520

prune263.0ms

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: 0.7b

Counts
159 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
4.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.8b
(log (exp (/ 2.0 (* t 3.0))))
5.2b
(/ (* 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))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series74.0ms

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

simplify86.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07631016
13784927
25001926

prune217.0ms

Filtered
101 candidates to 79 candidates (21.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh022
Picked101
Done011
Total1014105

Merged error: 0.5b

Counts
105 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* b b) (* c c))
7.3b
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
7.3b
(* t (- (* b b) (* c c)))
25.2b
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
260×associate-*r/
147×flip3-+ flip-+
128×frac-times frac-add distribute-neg-frac
96×sqrt-div
66×associate-/l/
64×associate-*l/
50×flip3-- flip--
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-log-exp
8×add-cube-cbrt *-un-lft-identity
6×pow1
4×distribute-rgt-in distribute-lft-in associate-*r*
3×sub-neg times-frac div-sub associate-*l* associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- associate-+l+ associate-+r+ distribute-neg-in div-exp unsub-neg prod-exp sum-log associate-/r/ cbrt-unprod difference-of-squares
1×+-commutative frac-2neg diff-log pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 213
Calls
4 calls:
4.0ms
(- (* b b) (* c c))
17.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
7.0ms
(* t (- (* b b) (* c c)))
26.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* b b) (* c c))
156.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
16.0ms
(* t (- (* b b) (* c c)))
228.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

simplify107.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
022876919
150016776

prune1.1s

Filtered
225 candidates to 201 candidates (10.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2241225
Fresh022
Picked011
Done011
Total2245229

Merged error: 0.0b

Counts
229 → 5

regimes741.0ms

Accuracy

-15.7% (3.7b remaining)

Error of 3.9b against oracle of 0.1b and baseline of 3.4b

bsearch59.0ms

Steps
ItersRangePoint
8
-5.4560291761520014e+253
-1.0630255401163371e+251
-5.404453097515238e+253

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06938
17538
27538

end0.0ms

sample2.7s

Algorithm
intervals
Results
749.0ms8000×body80valid
735.0ms8045×body80nan

Profiling

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