Details

Time bar (total: 6.7s)

sample62.0ms

Algorithm
intervals
Results
27.0ms908×body80nan
10.0ms293×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
1.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×expm1-log1p-u frac-times associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 122
Calls
4 calls:
28.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
38.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
31.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series512.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
178.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
142.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
73.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify92.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08601389
137741282
250011276

prune387.0ms

Filtered
134 candidates to 115 candidates (85.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
1.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×*-un-lft-identity
78×add-cube-cbrt prod-diff
60×times-frac
42×distribute-rgt-in distribute-lft-in
13×add-exp-log add-cbrt-cube
11×pow1
10×associate-*r*
9×associate-*l*
8×associate-*r/
7×div-inv
6×flip3-- flip--
4×expm1-log1p-u frac-times sqrt-div associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out associate-/l*
Counts
4 → 183
Calls
4 calls:
33.0ms
(* 9.0 (- a (/ 1.0 3.0)))
51.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
10.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* 9.0 (- a (/ 1.0 3.0)))
124.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
193.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011573007
150012366

prune362.0ms

Filtered
195 candidates to 103 candidates (52.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- a (/ 1.0 3.0))
0.0b
(- a (/ 1.0 3.0))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
0.3b
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
200×add-sqr-sqrt
158×*-un-lft-identity
128×add-cube-cbrt
96×sqrt-prod
78×prod-diff
28×difference-of-squares
17×div-inv
15×add-exp-log add-cbrt-cube
14×distribute-lft-out--
10×associate-/l*
9×associate-/r*
8×add-log-exp
6×pow1 flip3-- fma-neg associate-*l* flip--
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times associate-*r* log1p-expm1-u
3×flip3-+ flip-+
2×sub-neg sqrt-div diff-log associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 282
Calls
4 calls:
8.0ms
(- a (/ 1.0 3.0))
8.0ms
(- a (/ 1.0 3.0))
204.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
19.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series438.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- a (/ 1.0 3.0))
22.0ms
(- a (/ 1.0 3.0))
157.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
237.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012424356
150013653

prune685.0ms

Filtered
294 candidates to 166 candidates (56.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
1.3b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.8b
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
93×add-sqr-sqrt
83×*-un-lft-identity
79×add-cube-cbrt
78×prod-diff
64×times-frac
41×distribute-rgt-in distribute-lft-in
20×add-exp-log add-cbrt-cube
16×associate-*r*
11×pow1
9×associate-*r/ associate-*l*
8×div-inv
6×flip3-- sqrt-div prod-exp flip-- cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* sqrt-prod associate-/r/ log1p-expm1-u add-log-exp difference-of-squares
3×pow-prod-down
2×frac-times sub-neg sqrt-pow1 associate-*l/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/l*
Counts
4 → 188
Calls
4 calls:
33.0ms
(* 9.0 (- a (/ 1.0 3.0)))
10.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
33.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
51.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 9.0 (- a (/ 1.0 3.0)))
199.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
168.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify120.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011062989
149262299
250012299

prune387.0ms

Filtered
200 candidates to 106 candidates (53.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample1.7s

Algorithm
intervals
Results
814.0ms26799×body80nan
307.0ms9113×body80valid