Details

Time bar (total: 5.4s)

sample71.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
17.0ms256×body80nan

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110817
238917
3176117
4500217

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: 5.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
0.2b
(/ 2.0 (* t 3.0))
3.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b
(/ (* z (sqrt (+ t a))) t)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
63×prod-diff
62×associate--r+
50×add-sqr-sqrt add-cube-cbrt
45×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
14×distribute-lft-out
13×div-inv
9×flip3-- flip--
8×frac-times
7×fma-neg associate-/r* associate-/l*
6×associate-*r/ add-log-exp
5×cbrt-undiv flip3-+ div-exp flip-+
4×pow1 expm1-log1p-u log1p-expm1-u
3×sub-neg frac-2neg clear-num
2×sqrt-div associate-*l/ prod-exp associate--l+ associate-/r/ cbrt-unprod associate-/l/
1×diff-log
Counts
4 → 183
Calls
4 calls:
4.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
7.0ms
(/ 2.0 (* t 3.0))
23.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series568.0ms

Counts
4 → 12
Calls
4 calls:
294.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))
15.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify57.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014023315
150012944

prune920.0ms

Filtered
195 candidates to 143 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1923195
Fresh000
Picked101
Done000
Total1933196

Merged error: 0.5b

Counts
196 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.2b
(/ 2.0 (* t 3.0))
0.3b
(/ (sqrt (+ t a)) t)
2.5b
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
27×times-frac
24×add-sqr-sqrt add-cube-cbrt
16×add-exp-log sqrt-prod add-cbrt-cube
13×associate-/l*
5×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×frac-2neg clear-num div-inv
2×sqrt-div prod-exp cbrt-unprod associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
4 → 103
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
4.0ms
(/ 2.0 (* t 3.0))
6.0ms
(/ (sqrt (+ t a)) t)
1.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
16.0ms
(/ 2.0 (* t 3.0))
63.0ms
(/ (sqrt (+ t a)) t)
209.0ms
(fma z (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0378688
11172613
25001603

prune581.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done000
Total1153118

Merged error: 0.5b

Counts
118 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.8333333333333334 c) (* a b))
0.0b
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
0.2b
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
0.8b
(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-log-exp
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/r* fma-udef associate-/l*
2×exp-sum associate-/r/
1×cbrt-undiv distribute-rgt-in sub-neg exp-prod flip3-- exp-to-pow frac-2neg distribute-lft-in flip3-+ fma-neg diff-log div-exp prod-diff clear-num flip-- flip-+ div-inv rem-exp-log
Counts
4 → 71
Calls
4 calls:
4.0ms
(- (* 0.8333333333333334 c) (* a b))
2.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
4.0ms
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
1.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 0.8333333333333334 c) (* a b))
35.0ms
(exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b)))))
102.0ms
(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
43.0ms
(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify108.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0305748
11028676
24173668
35001665

prune272.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done011
Total83386

Merged error: 0.5b

Counts
86 → 3

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.5b

Counts
3 → 3

regimes197.0ms

Accuracy

0% (1.6b remaining)

Error of 2.3b against oracle of 0.7b and baseline of 2.3b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04528
14728
24728

end0.0ms

sample1.8s

Algorithm
intervals
Results
592.0ms8000×body80valid
579.0ms8211×body80nan