Details

Time bar (total: 8.0s)

sample69.0ms

Algorithm
intervals
Results
29.0ms877×body80nan
9.0ms289×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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

rewrite174.0ms

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:
48.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
39.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
63.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
18.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
66.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
165.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
135.0ms
(/ 1.0 (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

prune394.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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

rewrite216.0ms

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:
49.0ms
(* 9.0 (- a (/ 1.0 3.0)))
93.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
42.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
22.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* 9.0 (- a (/ 1.0 3.0)))
112.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
68.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
178.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011573007
150012366

prune370.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite247.0ms

Algorithm
rewrite-expression-head
Rules
183×add-sqr-sqrt
175×sqrt-prod
162×times-frac
125×*-un-lft-identity
106×associate-*l*
97×add-cube-cbrt
34×add-exp-log add-cbrt-cube
28×difference-of-squares
14×distribute-lft-out--
13×pow1 prod-exp cbrt-unprod
9×associate-/r*
7×cbrt-undiv div-exp associate-*r*
6×associate-*l/ associate-/l* unswap-sqr
5×frac-times flip3-- pow-prod-down flip--
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ associate-*r/ *-commutative flip-+ div-inv
1×distribute-rgt-in sqrt-undiv frac-2neg distribute-lft-in clear-num
Counts
4 → 271
Calls
4 calls:
49.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
66.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
24.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
91.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series828.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
190.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
97.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
309.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify56.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012293446
150023183

prune827.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
163×add-sqr-sqrt
145×sqrt-prod
132×times-frac
104×*-un-lft-identity
76×add-cube-cbrt
66×associate-*l*
28×difference-of-squares
22×add-exp-log add-cbrt-cube
15×associate-/r*
14×distribute-lft-out--
8×pow1
7×associate-*r* associate-/l*
6×cbrt-undiv div-exp unswap-sqr
5×flip3-- prod-exp flip-- cbrt-unprod
4×expm1-log1p-u frac-times sqrt-div associate-*l/ associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
1×distribute-rgt-in sqrt-undiv distribute-lft-in associate-/l/ distribute-lft-out
Counts
4 → 236
Calls
4 calls:
49.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
63.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
31.0ms
(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
23.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

series754.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (sqrt 1.0) (/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))))
183.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
243.0ms
(/ (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
93.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011142950
150022733

prune702.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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
01710
11710

end0.0ms

sample1.8s

Algorithm
intervals
Results
813.0ms27207×body80nan
300.0ms9109×body80valid