Details

Time bar (total: 5.1s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms227×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
97×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
19×associate-/r*
14×distribute-lft-out-- difference-of-squares
11×associate-/l*
10×add-exp-log add-cbrt-cube
9×associate-/r/
8×div-inv
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×flip3-- div-sub flip-- fma-udef
Counts
3 → 150
Calls
3 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series174.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
48.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify86.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06481737
124411655
250011655

prune364.0ms

Filtered
159 candidates to 123 candidates (77.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1554159
Fresh101
Picked101
Done000
Total1574161

Merged error: 0b

Counts
161 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
41×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
19×associate-*l*
13×associate-*l/
10×add-exp-log add-cbrt-cube associate-/l*
8×distribute-lft-out-- difference-of-squares
6×associate-/r*
5×pow1
4×associate-/l/
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- frac-2neg div-exp prod-exp clear-num flip-- cbrt-unprod div-inv unswap-sqr
1×div-sub pow-prod-down *-commutative fma-udef
Counts
3 → 102
Calls
3 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
10.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
7.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
77.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0397871
11594794
25001783

prune252.0ms

Filtered
111 candidates to 86 candidates (77.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh213
Picked011
Done000
Total1123115

Merged error: 0b

Counts
115 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.0b
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (* (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
0.1b
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
505×add-sqr-sqrt
465×*-un-lft-identity
463×sqrt-prod
356×associate-*l/
320×frac-times
272×associate-/l*
240×associate-/r*
209×add-cube-cbrt
184×times-frac
120×difference-of-squares
92×associate-*l*
80×associate-/l/
72×associate-*r*
68×distribute-lft-out
60×distribute-lft-out--
40×frac-2neg clear-num
29×add-exp-log add-cbrt-cube
24×unswap-sqr
22×flip3-+ flip-+
20×associate-*r/
18×flip3-- flip--
10×pow1 prod-exp cbrt-unprod
7×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow-prod-down
2×*-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 div-sub
Counts
4 → 653
Calls
4 calls:
1.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
9.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
262.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (* (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
16.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

series975.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (fma (sqrt x) 4.0 (+ x 1.0)))
232.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
421.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (* (/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) 6.0))
251.0ms
(/ (- (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))

simplify174.0ms

Algorithm
egg-herbie
Counts
665 → 665
Iterations

Useful iterations: 1 (58.0ms)

IterNodesCost
0244113746
1500213131

prune1.1s

Filtered
665 candidates to 284 candidates (42.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6650665
Fresh011
Picked011
Done011
Total6653668

Merged error: 0b

Counts
668 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)
1.0b
(cbrt 6.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
8×add-cbrt-cube
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 84
Calls
4 calls:
6.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)
1.0ms
(cbrt 6.0)

series153.0ms

Counts
4 → 6
Calls
4 calls:
153.0ms
(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)
0.0ms
(cbrt 6.0)

simplify143.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0217718
1766643
24094566
35001564

prune245.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample609.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
203.0ms8087×body80nan