Details

Time bar (total: 7.2s)

sample65.0ms

Algorithm
intervals
Results
13.0ms119×body320valid
10.0ms509×pre80true
9.0ms253×body80nan
6.0ms89×body160valid
6.0ms19×body640valid
1.0ms29×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
26.6b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
39.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
49.0ms
(- (* b b) (* (* 4.0 a) c))
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0405779
11563685
25002674

prune190.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
13.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
5.0ms
(- (* b b) (* (* 4.0 a) c))
28.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series465.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
45.0ms
(- (* b b) (* (* 4.0 a) c))
190.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
152.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify113.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06422664
131752400
250022388

prune434.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
0.3b
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))
0.3b
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
880×times-frac
380×add-sqr-sqrt *-un-lft-identity
236×add-cube-cbrt
198×add-exp-log
122×div-exp
120×associate-/l*
90×add-cbrt-cube
72×distribute-lft-out-- difference-of-squares
51×cbrt-undiv
36×distribute-rgt-neg-in prod-exp sqrt-prod
31×associate-/r*
27×div-inv
15×rec-exp 1-exp
14×cbrt-unprod
6×add-log-exp
5×pow1
3×frac-2neg clear-num associate-/r/
2×div-sub associate-/l/
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
4 → 475
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
35.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
68.0ms
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))
44.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))

series453.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 4.0 a) c))
167.0ms
(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c)))
130.0ms
(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))) (* 2.0 a))
111.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0) (* a c))

simplify105.0ms

Algorithm
egg-herbie
Counts
487 → 487
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
017558758
150027862

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0))
0.1b
(/ (* a c) a)
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(* (/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0)) 2.0) (/ (* a c) a))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
830×times-frac
513×add-sqr-sqrt
494×*-un-lft-identity
336×add-cube-cbrt
244×associate-*l*
128×add-exp-log
78×distribute-lft-out-- difference-of-squares
68×add-cbrt-cube
67×div-exp
39×distribute-rgt-neg-in sqrt-prod
33×prod-exp
31×cbrt-undiv
28×associate-/r*
20×div-inv
17×cbrt-unprod
8×rec-exp 1-exp
7×pow1 associate-*r*
6×add-log-exp unswap-sqr
4×associate-/r/ associate-/l*
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 462
Calls
4 calls:
30.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0))
3.0ms
(/ (* a c) a)
3.0ms
(- (* b b) (* (* 4.0 a) c))
158.0ms
(* (/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0)) 2.0) (/ (* a c) a))

series281.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0))
11.0ms
(/ (* a c) a)
44.0ms
(- (* b b) (* (* 4.0 a) c))
126.0ms
(* (/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) 4.0)) 2.0) (/ (* a c) a))

simplify95.0ms

Algorithm
egg-herbie
Counts
474 → 474
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020837253
150016687

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12513

end0.0ms

sample1.7s

Algorithm
intervals
Results
397.0ms3659×body320valid
324.0ms16157×pre80true
289.0ms8157×body80nan
205.0ms2849×body160valid
84.0ms555×body640valid
35.0ms937×body80valid