Details

Time bar (total: 7.7s)

sample87.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
25.0ms280×body80nan

simplify39.0ms

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: 4.2b

Counts
2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.5b
(/ (* z (sqrt (+ t a))) t)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
24.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series339.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
178.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify56.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013772637
150012324

prune843.0ms

Filtered
191 candidates to 137 candidates (71.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1883191
Fresh000
Picked101
Done000
Total1893192

Merged error: 0.5b

Counts
192 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
2.6b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
60×add-sqr-sqrt
56×prod-diff
54×add-cube-cbrt
48×times-frac
31×distribute-rgt-in distribute-lft-in
19×distribute-lft-out
16×sqrt-prod
13×add-exp-log add-cbrt-cube
10×div-inv associate-/l*
8×frac-times flip3-- flip--
6×pow1 associate-*r* frac-sub
5×associate-*l*
4×expm1-log1p-u flip3-+ associate-*r/ associate-/r* flip-+ log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp distribute-lft-out--
2×sub-neg frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/ difference-of-squares
1×pow-prod-down *-commutative fma-udef unswap-sqr
Counts
4 → 181
Calls
4 calls:
20.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
6.0ms
(/ (sqrt (+ t a)) t)
5.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
63.0ms
(/ (sqrt (+ t a)) t)
16.0ms
(/ 2.0 (* t 3.0))
208.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08942691
140232163
250022158

prune852.0ms

Filtered
193 candidates to 108 candidates (56.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1921193
Fresh022
Picked011
Done000
Total1924196

Merged error: 0b

Counts
196 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
3.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
5.5b
(/ (* z (sqrt (+ t a))) t)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
33×add-sqr-sqrt
31×prod-diff
30×associate--r+
29×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
12×times-frac
8×frac-sub
7×flip3-- fma-neg associate-*r* flip-- distribute-lft-out
6×pow1 associate-*r/ add-log-exp
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u frac-times sqrt-div div-exp associate-/r* log1p-expm1-u div-inv associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg flip3-+ associate-*l/ associate--l+ clear-num flip-+ associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 141
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
19.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series413.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
260.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log1p (expm1 (/ 2.0 (* t 3.0)))))))
78.0ms
(/ (* z (sqrt (+ t a))) t)

simplify126.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
010282010
149241664
250011614

prune692.0ms

Filtered
153 candidates to 113 candidates (73.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done011
Total1534157

Merged error: 0b

Counts
157 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 0.6666666666666666 (/ b t))
0.3b
(/ (sqrt (+ t a)) t)
0.5b
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
1.8b
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
33×add-sqr-sqrt
31×times-frac
28×add-cube-cbrt
16×sqrt-prod
13×associate-*r*
11×add-exp-log add-cbrt-cube
7×associate-/l*
6×pow1
4×expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod fma-udef div-inv associate-/l/ unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
4 → 101
Calls
4 calls:
7.0ms
(* 0.6666666666666666 (/ b t))
6.0ms
(/ (sqrt (+ t a)) t)
1.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
1.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* 0.6666666666666666 (/ b t))
60.0ms
(/ (sqrt (+ t a)) t)
40.0ms
(fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))
219.0ms
(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma 0.6666666666666666 (/ c t) (- (* 0.8333333333333334 b) (* 0.6666666666666666 (/ b t))))))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0419756
11551683
25001673

prune447.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4

regimes296.0ms

Accuracy

-64.8% (2.8b remaining)

Error of 3.2b against oracle of 0.4b and baseline of 2.1b

bsearch308.0ms

Steps
ItersRangePoint
10
4.0346432049382134e-237
1.2472223655508996e-225
2.563495256508029e-235
5
-4.980344527841812e-188
-1.66380431099482e-188
-4.7682077658519153e-188

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010069
110469
210469

end0.0ms

sample2.1s

Algorithm
intervals
Results
760.0ms8000×body80valid
726.0ms7969×body80nan