Details

Time bar (total: 8.9s)

sample81.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
23.0ms258×body80nan

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

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: 3.5b

Counts
2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.4b
(/ (* z (sqrt (+ t a))) t)

rewrite37.0ms

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)))
5.0ms
(/ 2.0 (* t 3.0))
14.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series336.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
176.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010191262
150011200

prune533.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 0.5b

Counts
114 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
3.2b
(log (exp (/ 2.0 (* t 3.0))))
3.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.4b
(/ (* z (sqrt (+ t a))) t)

rewrite31.0ms

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)

series300.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 2.0 (* t 3.0))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))
181.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
81.0ms
(/ (* z (sqrt (+ t a))) t)

simplify91.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07681017
13739918
25001917

prune476.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh112
Picked011
Done000
Total1013104

Merged error: 0.3b

Counts
104 → 3

localize35.0ms

Local error

Found 4 expressions with local error:

4.0b
(- (* b b) (* c c))
5.5b
(* t (- (* b b) (* c c)))
6.3b
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
25.8b
(/ (+ (* (* 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)))

rewrite82.0ms

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))
7.0ms
(* t (- (* b b) (* c c)))
16.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
27.0ms
(/ (+ (* (* 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)))

series1.1s

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (* b b) (* c c))
70.0ms
(* t (- (* b b) (* c c)))
504.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (neg (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
523.0ms
(/ (+ (* (* 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)))

simplify115.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
022886919
150016776

prune2.2s

Filtered
225 candidates to 201 candidates (89.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2241225
Fresh011
Picked011
Done011
Total2244228

Merged error: 0b

Counts
228 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.1b
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
1.9b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-log-exp
6×exp-sum
3×pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity distribute-lft-in associate--l+ add-cbrt-cube
2×diff-log sum-log
1×+-commutative exp-prod distribute-rgt-out flip3-- exp-to-pow flip3-+ flip-- flip-+ rem-exp-log
Counts
3 → 42
Calls
3 calls:
4.0ms
(+ (* a c) (* 0.8333333333333334 c))
5.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
6.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series121.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* a c) (* 0.8333333333333334 c))
40.0ms
(exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))
37.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify97.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0230346
1806314
23157301
35001297

prune120.0ms

Filtered
51 candidates to 34 candidates (66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh011
Picked011
Done022
Total51455

Merged error: 0b

Counts
55 → 4

regimes481.0ms

Accuracy

35.4% (6.5b remaining)

Error of 7.2b against oracle of 0.7b and baseline of 10.8b

bsearch294.0ms

Steps
ItersRangePoint
8
1.1228793664463638e-05
0.019291922718629697
0.0009400965580265947
7
-3.7321692157518104e-116
-1.3786212500559384e-117
-5.209962005672711e-117

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09454
110654
210654

end0.0ms

sample2.2s

Algorithm
intervals
Results
761.0ms8000×body80valid
744.0ms8033×body80nan

Profiling

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