Details

Time bar (total: 3.6s)

sample36.0ms

Algorithm
intervals
Results
8.0ms43×body2560valid
6.0ms178×body80valid
4.0ms26×body1280valid
3.0ms84×body80nan
2.0ms15×body640valid
1.0ms3×body5120valid
1.0ms6×body320valid
0.0ms5×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1337
2467
3497
4497

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.2b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 171
Calls
4 calls:
40.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
16.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
3.0ms
(- (* b_2 b_2) (* a c))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
67.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
36.0ms
(- (* b_2 b_2) (* a c))
60.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05493055
118262150
250012063

prune345.0ms

Filtered
183 candidates to 97 candidates (53.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.2b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
63×*-un-lft-identity
61×prod-diff
54×add-cube-cbrt
35×sqrt-prod
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
13×add-exp-log associate-*r*
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 neg-mul-1 associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg sqrt-div div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv
Counts
4 → 169
Calls
4 calls:
51.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
16.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
3.0ms
(- (* b_2 b_2) (* a c))
4.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
70.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
33.0ms
(- (* b_2 b_2) (* a c))
61.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify78.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06092985
123341993
250011940

prune316.0ms

Filtered
181 candidates to 96 candidates (53.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.2b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.2b
(- (* b_2 b_2) (* a c))
25.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/r*
6×add-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log associate-/l*
2×sub-neg sqrt-div associate-/r/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp neg-log clear-num div-inv
Counts
4 → 170
Calls
4 calls:
24.0ms
(/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
16.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
3.0ms
(- (* b_2 b_2) (* a c))
5.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))))
67.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
37.0ms
(- (* b_2 b_2) (* a c))
60.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify70.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05093036
116982122
250012035

prune314.0ms

Filtered
182 candidates to 96 candidates (52.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.4b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

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: 4.4b

regimes188.0ms

Accuracy

81.8% (5.2b remaining)

Error of 10.5b against oracle of 5.3b and baseline of 33.7b

bsearch83.0ms

Steps
ItersRangePoint
9
8.465625442272063e+58
8.825425083170634e+65
3.295450950813408e+65
7
-8.900046045436026e-13
-1.901214192353153e-14
-1.3295118613703302e-13

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415
13415

end0.0ms

sample988.0ms

Algorithm
intervals
Results
207.0ms1040×body2560valid
189.0ms5929×body80valid
143.0ms902×body1280valid
90.0ms2978×body80nan
53.0ms438×body640valid
25.0ms108×body5120valid
20.0ms218×body320valid
6.0ms104×body160valid