Details

Time bar (total: 10.3s)

sample81.0ms

Algorithm
intervals
Results
26.0ms265×body80nan
23.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune4.0ms

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: 4.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.4b
(/ 2.0 (* t 3.0))
3.2b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.8b
(/ (* z (sqrt (+ t a))) t)

rewrite38.0ms

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))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series317.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ 2.0 (* t 3.0))
170.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
72.0ms
(/ (* z (sqrt (+ t a))) t)

simplify43.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune513.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1085113
Fresh000
Picked101
Done000
Total1095114

Merged error: 0.7b

Counts
114 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.2b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
19.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
171.0ms
(cbrt t)
101.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
210.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.0s

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1810181
Fresh044
Picked011
Done000
Total1815186

Merged error: 0.7b

Counts
186 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 2.0 (* t 3.0))
3.8b
(/ (* z (sqrt (+ t a))) t)
4.2b
(log (exp (/ 2.0 (* t 3.0))))
4.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

rewrite32.0ms

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))
7.0ms
(/ (* z (sqrt (+ t a))) t)
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

series295.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
90.0ms
(/ (* z (sqrt (+ t a))) t)
15.0ms
(log (exp (/ 2.0 (* t 3.0))))
174.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

simplify98.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07681017
13739918
25001917

prune476.0ms

Filtered
101 candidates to 79 candidates (78.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh123
Picked011
Done011
Total1006106

Merged error: 0.2b

Counts
106 → 6

localize34.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
6.1b
(* t (- (* b b) (* c c)))
7.3b
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
24.3b
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
268×associate-*r/
150×flip3-+ flip-+
132×frac-times
128×frac-add distribute-neg-frac
96×sqrt-div
66×associate-*l/ associate-/l/
52×flip3-- flip--
16×add-exp-log add-cbrt-cube
14×*-un-lft-identity
11×pow1 add-sqr-sqrt
9×add-cube-cbrt associate-*r*
8×add-log-exp
5×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac div-sub associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- sub-neg associate-+l+ associate-+r+ distribute-neg-in div-exp unsub-neg sum-log associate-/r/ *-commutative distribute-lft-out
1×+-commutative frac-2neg neg-log clear-num associate-/r* div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 230
Calls
4 calls:
19.0ms
(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
7.0ms
(* t (- (* b b) (* c c)))
16.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
27.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

series1.2s

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
65.0ms
(* t (- (* b b) (* c c)))
497.0ms
(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
520.0ms
(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

simplify116.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
023577331
150037154

prune2.2s

Filtered
242 candidates to 210 candidates (86.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2420242
Fresh033
Picked011
Done022
Total2426248

Merged error: 0.2b

Counts
248 → 6

regimes407.0ms

Accuracy

-2.7% (2.6b remaining)

Error of 2.9b against oracle of 0.3b and baseline of 2.8b

bsearch412.0ms

Steps
ItersRangePoint
10
3.758692838988477e-236
1.9455425124189104e-223
8.87027543640299e-226
10
-2.6765245908491983e-215
-4.213270393765382e-229
-4.684169719012848e-227

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08247
19447
29447

end0.0ms

sample2.1s

Algorithm
intervals
Results
724.0ms8125×body80nan
722.0ms8000×body80valid