Details

Time bar (total: 6.2s)

sample60.0ms

Algorithm
intervals
Results
15.0ms532×pre80true
12.0ms146×body160valid
11.0ms276×body80nan
5.0ms110×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

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: 28.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.2b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

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:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
45.0ms
(- (* b b) (* (* 3.0 a) c))
133.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0417711
11922611
25001602

prune160.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.5b

Counts
86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×associate-*l* pow-prod-down associate-/l/
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(* 3.0 (* a c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series559.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
24.0ms
(* 3.0 (* a c))
271.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
221.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06512507
133122195
250012183

prune371.0ms

Filtered
163 candidates to 102 candidates (62.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New15013163
Fresh314
Picked101
Done000
Total15414168

Merged error: 0b

Counts
168 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite44.0ms

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:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
15.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series652.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
49.0ms
(- (* b b) (* (* 3.0 a) c))
296.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
230.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify108.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06332666
130942409
250022397

prune356.0ms

Filtered
163 candidates to 106 candidates (65.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1612163
Fresh5813
Picked011
Done000
Total16611177

Merged error: 0b

Counts
177 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3.0 (/ 3.0 (* a c)))
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
386×times-frac
279×add-sqr-sqrt
253×*-un-lft-identity
167×add-cube-cbrt
112×add-exp-log
85×associate-*r*
72×add-cbrt-cube
60×div-exp
42×distribute-lft-out-- difference-of-squares
35×cbrt-undiv
30×associate-/l*
26×associate-*l* prod-exp
21×distribute-rgt-neg-in sqrt-prod
18×div-inv
16×associate-/r/ cbrt-unprod
10×associate-/r*
8×flip3-- flip-- unswap-sqr
6×pow1 add-log-exp
5×rec-exp 1-exp
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 351
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
4.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
56.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series468.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 3.0 (/ 3.0 (* a c)))
43.0ms
(- (* b b) (* (* 3.0 a) c))
168.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
234.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify76.0ms

Algorithm
egg-herbie
Counts
363 → 363
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015265436
150014646

prune699.0ms

Filtered
363 candidates to 209 candidates (57.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3612363
Fresh459
Picked011
Done011
Total3659374

Merged error: 0b

Counts
374 → 9

regimes159.0ms

Accuracy

0% (0.4b 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
02210
12210

end0.0ms

sample1.7s

Algorithm
intervals
Results
476.0ms16546×pre80true
387.0ms4515×body160valid
365.0ms8546×body80nan
156.0ms3485×body80valid

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