Details

Time bar (total: 4.3s)

sample40.0ms

Algorithm
intervals
Results
8.0ms40×body2560valid
7.0ms196×body80valid
4.0ms20×body1280valid
3.0ms94×body80nan
2.0ms14×body640valid
1.0ms7×body320valid
0.0ms4×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0299
1659
21219
31519
41609
51649
61649

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
1.0b
(- (* b b) (* 4.0 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
23.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite330.0ms

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:
270.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
9.0ms
(- (* b b) (* 4.0 (* a c)))
33.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (* 2.0 a))
50.0ms
(- (* b b) (* 4.0 (* a c)))
80.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
75.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify80.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05903305
121012212
250022128

prune332.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
1.0b
(- (* b b) (* 4.0 (* a c)))
1.2b
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
23.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite161.0ms

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:
103.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
9.0ms
(- (* b b) (* 4.0 (* a c)))
31.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series289.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (- (- b) (sqrt (- (* b b) (* 4.0 (* a c))))) (/ 1 (* 2.0 a)))
47.0ms
(- (* b b) (* 4.0 (* a c)))
75.0ms
(- (- b) (sqrt (- (* b b) (* 4.0 (* a c)))))
72.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify80.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06563422
125942238
250012193

prune294.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a))
1.0b
(- (* b b) (* 4.0 (* a c)))
6.2b
(- (/ (- b) (* 2.0 a)) (/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a)))
23.7b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
141×prod-diff
101×*-un-lft-identity
98×add-sqr-sqrt
95×add-cube-cbrt
51×sqrt-prod
34×distribute-rgt-neg-in
33×distribute-lft-neg-in
28×div-inv
15×fma-neg
11×neg-mul-1
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/l*
5×pow1
4×expm1-log1p-u flip3-- sqrt-div flip-- log1p-expm1-u
3×distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-out-- frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* frac-sub cbrt-unprod sub-div difference-of-squares
Counts
4 → 240
Calls
4 calls:
21.0ms
(/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a))
9.0ms
(- (* b b) (* 4.0 (* a c)))
68.0ms
(- (/ (- b) (* 2.0 a)) (/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a)))
11.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a))
45.0ms
(- (* b b) (* 4.0 (* a c)))
106.0ms
(- (/ (- b) (* 2.0 a)) (/ (sqrt (- (* b b) (* 4.0 (* a c)))) (* 2.0 a)))
74.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify108.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08478136
126765939
250015143

prune362.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.3b

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

prune0.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.3b

regimes183.0ms

Accuracy

83.6% (4.7b remaining)

Error of 10.3b against oracle of 5.6b and baseline of 34.2b

bsearch89.0ms

Steps
ItersRangePoint
8
3.1248942757642245e+89
1.1714167766929137e+92
7.895438119410103e+91
7
-1.9209620939201072e-35
-4.595080940101684e-37
-3.429521559957367e-36

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample1.1s

Algorithm
intervals
Results
219.0ms1038×body2560valid
212.0ms5858×body80valid
157.0ms919×body1280valid
106.0ms2943×body80nan
66.0ms475×body640valid
27.0ms97×body5120valid
25.0ms255×body320valid
7.0ms96×body160valid