Details

Time bar (total: 4.8s)

analyze413.0ms (8.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078220
178220
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Symmetry
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample18.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify79.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
078210
178210

prune14.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 f n) (-.f64 n f))

rewrite46.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 associate-/r*_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64 flip3--_binary64 flip--_binary64
Counts
1 → 45
Calls

1 calls:

9.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 714 to 167 computations (76.6% saved)

series104.0ms (2.2%)

Error
0.0b
Counts
1 → 21
Calls

1 calls:

88.0ms
(/.f64 (+.f64 f n) (-.f64 n f))
Compiler

Compiled 558 to 469 computations (15.9% saved)

simplify75.0ms (1.6%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
055911063

prune50.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New61566
Fresh000
Picked101
Done000
Total62567
Error
0b
Counts
67 → 5
Compiler

Compiled 901 to 277 computations (69.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0b
(/.f64 (-.f64 n f) (+.f64 f n))

rewrite173.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
178×times-frac_binary64
174×*-un-lft-identity_binary64
122×add-sqr-sqrt_binary64
80×add-cube-cbrt_binary64
30×associate-/r*_binary64
26×distribute-lft-out_binary64
21×difference-of-squares_binary64 distribute-lft-out--_binary64
15×add-exp-log_binary64
11×associate-/r/_binary64
add-cbrt-cube_binary64
div-exp_binary64 associate-/l*_binary64
div-inv_binary64
flip3-+_binary64 flip-+_binary64
cbrt-undiv_binary64
pow1_binary64
add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 1-exp_binary64 rec-exp_binary64
div-sub_binary64 flip3--_binary64 flip--_binary64 inv-pow_binary64 pow-flip_binary64
Counts
2 → 174
Calls

2 calls:

11.0ms
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
8.0ms
(/.f64 (-.f64 n f) (+.f64 f n))
Compiler

Compiled 3560 to 1190 computations (66.6% saved)

series188.0ms (3.9%)

Error
0b
Counts
2 → 42
Calls

2 calls:

81.0ms
(/.f64 (-.f64 n f) (+.f64 f n))
78.0ms
(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
Compiler

Compiled 1191 to 1009 computations (15.3% saved)

simplify116.0ms (2.4%)

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
054704258

prune141.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2142216
Fresh224
Picked011
Done000
Total2165221
Error
0b
Counts
221 → 5
Compiler

Compiled 3503 to 1009 computations (71.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 n f))
0.0b
(/.f64 1 (+.f64 f n))
0.0b
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))

rewrite889.0ms (18.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
954×times-frac_binary64
631×*-un-lft-identity_binary64
491×add-sqr-sqrt_binary64
369×add-cube-cbrt_binary64
87×associate-/r/_binary64
70×distribute-lft-out_binary64
61×difference-of-squares_binary64 distribute-lft-out--_binary64
51×add-exp-log_binary64
44×div-inv_binary64
36×div-exp_binary64
27×associate-/l*_binary64 associate-/r*_binary64
23×flip3-+_binary64 flip-+_binary64
20×flip3--_binary64 flip--_binary64
19×add-cbrt-cube_binary64
10×1-exp_binary64 rec-exp_binary64 cbrt-undiv_binary64
pow1_binary64
add-log-exp_binary64 frac-2neg_binary64 clear-num_binary64
inv-pow_binary64 pow-flip_binary64
associate-/l/_binary64
Counts
3 → 527
Calls

3 calls:

23.0ms
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
6.0ms
(/.f64 1 (-.f64 n f))
6.0ms
(/.f64 1 (+.f64 f n))
Compiler

Compiled 14065 to 7273 computations (48.3% saved)

series282.0ms (5.9%)

Error
0b
Counts
3 → 63
Calls

3 calls:

82.0ms
(/.f64 (/.f64 1 (-.f64 n f)) (/.f64 1 (+.f64 f n)))
78.0ms
(/.f64 1 (+.f64 f n))
73.0ms
(/.f64 1 (-.f64 n f))
Compiler

Compiled 2259 to 1704 computations (24.6% saved)

simplify206.0ms (4.3%)

Algorithm
egg-herbie
Counts
590 → 590
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0505115717

prune550.0ms (11.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5900590
Fresh033
Picked011
Done011
Total5905595
Error
0b
Counts
595 → 5
Compiler

Compiled 11974 to 4515 computations (62.3% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (/.f64 n f))
0.1b
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))

rewrite89.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
28×add-sqr-sqrt_binary64
20×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
16×associate-*l*_binary64 associate-*r*_binary64
12×add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
associate-*r/_binary64
pow-prod-down_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 flip3--_binary64 frac-times_binary64 flip--_binary64 sub-neg_binary64 distribute-rgt-in_binary64 cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 div-inv_binary64 *-commutative_binary64
associate-*l/_binary64
Counts
2 → 72
Calls

2 calls:

9.0ms
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))
7.0ms
(*.f64 2 (/.f64 n f))
Compiler

Compiled 1554 to 840 computations (45.9% saved)

series250.0ms (5.2%)

Error
0b
Counts
2 → 18
Calls

2 calls:

189.0ms
(*.f64 (/.f64 n f) (-.f64 -2 (*.f64 2 (/.f64 n f))))
50.0ms
(*.f64 2 (/.f64 n f))
Compiler

Compiled 666 to 528 computations (20.7% saved)

simplify83.0ms (1.7%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
048751337
148751337

prune71.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh022
Picked011
Done022
Total90595
Error
0b
Counts
95 → 5
Compiler

Compiled 1618 to 859 computations (46.9% saved)

regimes128.0ms (2.7%)

Accuracy

Total 0.0b remaining (94.8%)

Threshold costs 0.0b (94.8%)

Compiler

Compiled 1252 to 782 computations (37.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01914
11914
Removed

()

end0.0ms (0%)

sample768.0ms (16.1%)

Algorithm
intervals
Results
200.0ms8000×body128valid
Compiler

Compiled 420 to 262 computations (37.6% saved)

Profiling

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