Details

Time bar (total: 5.0s)

sample50.0ms

Algorithm
intervals
Results
12.0ms519×pre80true
10.0ms153×body160valid
8.0ms263×body80nan
3.0ms103×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(* (* 3.0 a) c)
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
75.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419716
11930613
25002608

prune173.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite381.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
6.0ms
(* (* 3.0 a) c)
6.0ms
(* 3.0 (* a c))
171.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
191.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series323.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
160.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
125.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify114.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06843100
133072567
250012533

prune441.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (* 3.0 (* a c)) 3.0)
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
64×add-sqr-sqrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
32×add-cube-cbrt
16×distribute-lft-out-- difference-of-squares
14×pow1
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp associate-/r* div-inv
8×distribute-rgt-neg-in sqrt-prod associate-/l*
6×pow-prod-down
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/ *-commutative
1×flip3-- flip-- associate-/l/
Counts
4 → 143
Calls
4 calls:
6.0ms
(* (* 3.0 a) c)
7.0ms
(/ (* 3.0 (* a c)) 3.0)
6.0ms
(* 3.0 (* a c))
30.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3.0 a) c)
20.0ms
(/ (* 3.0 (* a c)) 3.0)
19.0ms
(* 3.0 (* a c))
177.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify79.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05841858
130261667
250021653

prune334.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 3.0 a) c)) (cbrt (* (* 3.0 a) c)))
0.5b
(cbrt (* (* 3.0 a) c))
0.5b
(cbrt (* (* 3.0 a) c))
0.5b
(cbrt (* (* 3.0 a) c))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* (* 3.0 a) c)) (cbrt (* (* 3.0 a) c)))
5.0ms
(cbrt (* (* 3.0 a) c))
5.0ms
(cbrt (* (* 3.0 a) c))
5.0ms
(cbrt (* (* 3.0 a) c))

series435.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (* (* 3.0 a) c)) (cbrt (* (* 3.0 a) c)))
97.0ms
(cbrt (* (* 3.0 a) c))
98.0ms
(cbrt (* (* 3.0 a) c))
104.0ms
(cbrt (* (* 3.0 a) c))

simplify96.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0207442
1705391
23375331
35001324

prune256.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421
12421

end0.0ms

sample1.4s

Algorithm
intervals
Results
316.0ms16366×pre80true
304.0ms4510×body160valid
274.0ms8366×body80nan
120.0ms3490×body80valid