Details

Time bar (total: 2.5m)

sample98.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
21.0ms248×body80nan

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune11.0ms

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: 3.2b

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))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b
(/ (* 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)

series81.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
48.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune2.9s

Filtered
113 candidates to 88 candidates (22.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 0.3b

Counts
114 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
1.2b
(* z (/ (sqrt (+ t a)) t))
2.0b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite41.0ms

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))
10.0ms
(* z (/ (sqrt (+ t a)) t))
14.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (sqrt (+ t a)) t)
2.0ms
(/ 2.0 (* t 3.0))
16.0ms
(* z (/ (sqrt (+ t a)) t))
51.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010611576
150021520

prune4.7s

Filtered
155 candidates to 112 candidates (27.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1550155
Fresh022
Picked011
Done000
Total1553158

Merged error: 0.3b

Counts
158 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

3.7b
(- (* b b) (* c c))
4.8b
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
6.6b
(* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0b
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

rewrite115.0ms

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+
9×pow1
8×add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv diff-log div-exp associate-/r/
1×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))
20.0ms
(- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
17.0ms
(* 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)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* b b) (* c c))
150.0ms
(- (* (* 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)))))
221.0ms
(/ (- (* (* z (sqrt (+ t a))) (+ b c)) (* t (* (- (* b b) (* c c)) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (+ b c)))

simplify170.0ms

Algorithm
egg-herbie
Counts
345 → 345
Iterations

Useful iterations: 1 (68.0ms)

IterNodesCost
0349311654
1500111493

prune33.0s

Filtered
345 candidates to 310 candidates (10.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3432345
Fresh011
Picked101
Done011
Total3444348

Merged error: 0b

Counts
348 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

2.7b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
5.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
7.6b
(- (* (* 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)))))
29.0b
(/ (- (* (* 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))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite181.0ms

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:
17.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
35.0ms
(- (* (* 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)))))
51.0ms
(/ (- (* (* 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))))

series459.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
162.0ms
(- (* (* 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)))))
247.0ms
(/ (- (* (* 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))))

simplify330.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (105.0ms)

IterNodesCost
0464024427
1500124209

prune1.1m

Filtered
449 candidates to 410 candidates (8.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4490449
Fresh022
Picked011
Done011
Total4494453

Merged error: 0b

Counts
453 → 4

regimes791.0ms

Accuracy

16.1% (2.3b remaining)

Error of 2.8b against oracle of 0.5b and baseline of 3.2b

bsearch362.0ms

Steps
ItersRangePoint
7
7.99321419331062e-296
1.8425898248721115e-294
8.774731471797922e-296
8
-1.8746130220320195e-239
-6.994074265046263e-242
-1.6775163226858567e-239

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07651
17651

end0.0ms

sample2.5s

Algorithm
intervals
Results
730.0ms8000×body80valid
682.0ms7800×body80nan

end39.7s

Profiling

Loading profile data...