Details

Time bar (total: 3.6s)

sample39.0ms

Algorithm
intervals
Results
8.0ms203×body80valid
6.0ms31×body1280valid
5.0ms23×body2560valid
3.0ms79×body80nan
2.0ms17×body640valid
1.0ms4×body5120valid
0.0ms4×body320valid
0.0ms4×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0299
1659
21219
31519
41609
51649
61649

prune3.0ms

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: 32.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
0.8b
(- (* b b) (* 4.0 (* a c)))
0.9b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
22.1b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt prod-diff
60×*-un-lft-identity
48×add-cube-cbrt
36×sqrt-prod
24×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×neg-mul-1 times-frac associate-/l*
6×distribute-lft-out-- difference-of-squares
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log
2×cbrt-undiv sub-neg sqrt-div div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 157
Calls
4 calls:
21.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
4.0ms
(- (* b b) (* 4.0 (* a c)))
11.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
5.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
44.0ms
(- (* b b) (* 4.0 (* a c)))
78.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
75.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify76.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05903305
121012212
250022128

prune394.0ms

Filtered
169 candidates to 89 candidates (52.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh000
Picked101
Done000
Total1628170

Merged error: 6.4b

Counts
170 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
0.8b
(- (* b b) (* 4.0 (* a c)))
0.9b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
22.1b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
60×add-sqr-sqrt
57×*-un-lft-identity
49×add-cube-cbrt
35×sqrt-prod
23×add-exp-log distribute-rgt-neg-in
21×distribute-lft-neg-in
13×add-cbrt-cube
11×fma-neg
10×prod-exp add-log-exp
7×pow1 neg-mul-1 associate-*r* associate-*l*
5×flip3-- flip--
4×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- difference-of-squares
3×times-frac diff-log
2×cbrt-undiv frac-times sub-neg rec-exp sqrt-div 1-exp associate-*l/
1×associate--l- neg-sub0 rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv unswap-sqr
Counts
4 → 165
Calls
4 calls:
21.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
4.0ms
(- (* b b) (* 4.0 (* a c)))
11.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
50.0ms
(- (* b b) (* 4.0 (* a c)))
89.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
104.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify81.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06563422
125942238
250012193

prune356.0ms

Filtered
177 candidates to 89 candidates (50.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1752177
Fresh257
Picked101
Done000
Total1787185

Merged error: 6.4b

Counts
185 → 7

localize3.0ms

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

prune15.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done000
Total077

Merged error: 6.4b

Counts
7 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ c b) (/ b a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
249×times-frac
202×add-sqr-sqrt
196×*-un-lft-identity
190×add-cube-cbrt
169×prod-diff
27×div-inv
13×fma-neg
4×difference-of-squares
3×add-log-exp
2×distribute-lft-out--
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 203
Calls
1 calls:
21.0ms
(- (/ c b) (/ b a))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- (/ c b) (/ b a))

simplify74.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
06874502
118003181
250022604

prune192.0ms

Filtered
206 candidates to 49 candidates (23.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2024206
Fresh055
Picked101
Done011
Total20310213

Merged error: 6.4b

Counts
213 → 10

regimes300.0ms

Accuracy

78.3% (7.5b remaining)

Error of 13.0b against oracle of 5.5b and baseline of 40.1b

bsearch99.0ms

Steps
ItersRangePoint
4
2.7062129888597453e-95
4.861630376334293e-95
4.7852092117837367e-95
10
-1.0320842654441656e-69
-6.354733239957269e-82
-8.480118384731098e-73

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03929
13929

end0.0ms

sample1.1s

Algorithm
intervals
Results
245.0ms1063×body2560valid
233.0ms5846×body80valid
159.0ms849×body1280valid
103.0ms2863×body80nan
71.0ms463×body640valid
29.0ms105×body5120valid
25.0ms231×body320valid
9.0ms126×body160valid