Details

Time bar (total: 3.5s)

sample27.0ms

Algorithm
intervals
Results
5.0ms63×body1280valid
5.0ms142×body80valid
4.0ms269×body80nan
2.0ms29×body640valid
1.0ms11×body320valid
0.0ms11×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1.0))
2.4b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
4×add-log-exp difference-of-squares
3×pow1 add-cube-cbrt distribute-lft-out--
2×add-exp-log sqrt-div add-cbrt-cube distribute-lft-out
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 diff-log flip-- flip-+
Counts
2 → 35
Calls
2 calls:
8.0ms
(sqrt (+ x 1.0))
39.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series94.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(sqrt (+ x 1.0))
62.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify60.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0182265
1544243
22020233
35002230

prune80.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.1b
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
24×sqrt-prod
21×distribute-lft-out
18×times-frac
16×add-sqr-sqrt
15×add-cube-cbrt
6×associate-/r*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×flip3-+ flip-+ associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 71
Calls
3 calls:
8.0ms
(sqrt (+ x 1.0))
29.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
43.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series222.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(sqrt (+ x 1.0))
65.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
128.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0341624
11239566
25001533

prune161.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
0.2b
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
13×cbrt-prod
10×associate-*r*
9×times-frac sqrt-prod
8×add-exp-log add-cbrt-cube
6×pow1 cbrt-div
4×flip3-+ flip-+ add-log-exp
3×associate-*l* associate-/r* distribute-lft-out associate-/l* unswap-sqr
2×pow1/3 sqrt-div associate-*r/ associate-/r/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 86
Calls
4 calls:
25.0ms
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
23.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
4.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ x 1.0))

series449.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
95.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
86.0ms
(cbrt (+ x 1.0))
84.0ms
(cbrt (+ x 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08501475
139671385
250021364

prune343.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (cbrt (+ x 1.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
38×cbrt-div
33×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
14×flip3-+ flip-+
11×pow1
9×pow1/3 swap-sqr
8×frac-times distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
16.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
35.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms
(cbrt (cbrt (+ x 1.0)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x 1.0))
102.0ms
(cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))
103.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
87.0ms
(cbrt (cbrt (+ x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0506966
11627918
25002859

prune403.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample705.0ms

Algorithm
intervals
Results
141.0ms1715×body1280valid
136.0ms7894×body80nan
78.0ms4125×body80valid
77.0ms1211×body640valid
29.0ms614×body320valid
11.0ms335×body160valid