Details

Time bar (total: 5.0s)

analyze526.0ms (10.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517652
033
133
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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms37×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify392.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (387.0ms)

IterNodesCost
0515213

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.7b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 (-.f64 y z) 1))
11.8b
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite68.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×*-un-lft-identity_binary64_18151
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
add-sqr-sqrt_binary64_18173
add-cube-cbrt_binary64_18186
associate-*r*_binary64_18091
pow1_binary64_18212 associate-*r/_binary64_18093
times-frac_binary64_18157 associate-/r*_binary64_18095 associate-*l*_binary64_18092
prod-exp_binary64_18200 div-exp_binary64_18202 add-log-exp_binary64_18190 cbrt-undiv_binary64_18185 cbrt-unprod_binary64_18184 flip3-+_binary64_18154 associate-/l/_binary64_18098 flip-+_binary64_18125 distribute-lft-out_binary64_18102
frac-2neg_binary64_18162 clear-num_binary64_18150 div-inv_binary64_18148 associate-/l*_binary64_18096 pow-prod-down_binary64_18222 unswap-sqr_binary64_18119 distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100 distribute-lft-out--_binary64_18103 *-commutative_binary64_18082
Counts
2 → 47
Calls

2 calls:

13.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
10.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
Compiler

Compiled 770 to 389 computations (49.5% saved)

series296.0ms (6%)

Error
2.0b
Counts
2 → 30
Calls

2 calls:

171.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
106.0ms
(*.f64 x (+.f64 (-.f64 y z) 1))
Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify55.0ms (1.1%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05150929

prune58.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh000
Picked101
Done000
Total74478
Error
0.0b
Counts
78 → 4
Compiler

Compiled 937 to 482 computations (48.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
2.4b
(*.f64 (/.f64 x z) y)

rewrite70.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_18173
14×*-un-lft-identity_binary64_18151
13×associate-*l*_binary64_18092
12×add-cube-cbrt_binary64_18186
10×add-log-exp_binary64_18190 times-frac_binary64_18157
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
pow1_binary64_18212
associate-*r*_binary64_18091 cancel-sign-sub-inv_binary64_18117
prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 associate-*l/_binary64_18094 sum-log_binary64_18242 diff-log_binary64_18243
pow-prod-down_binary64_18222 div-exp_binary64_18202 cbrt-undiv_binary64_18185 div-inv_binary64_18148 *-commutative_binary64_18082 frac-add_binary64_18159 flip3-+_binary64_18154 flip-+_binary64_18125 +-commutative_binary64_18081 flip3--_binary64_18155 sub-neg_binary64_18144 flip--_binary64_18126 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 associate--l+_binary64_18088
Counts
3 → 62
Calls

3 calls:

9.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
7.0ms
(*.f64 (/.f64 x z) y)
6.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
Compiler

Compiled 1200 to 286 computations (76.2% saved)

series425.0ms (8.5%)

Error
0b
Counts
3 → 36
Calls

3 calls:

166.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
152.0ms
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
90.0ms
(*.f64 (/.f64 x z) y)
Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify73.0ms (1.5%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049791145
149791145

prune65.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh033
Picked011
Done000
Total975102
Error
0b
Counts
102 → 5
Compiler

Compiled 1360 to 470 computations (65.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (-.f64 (+.f64 y 1) z))
3.4b
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))

rewrite181.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
162×times-frac_binary64_18157
158×*-un-lft-identity_binary64_18151
110×add-sqr-sqrt_binary64_18173
78×add-cube-cbrt_binary64_18186
32×distribute-lft-out--_binary64_18103
30×associate-/r*_binary64_18095
16×difference-of-squares_binary64_18120 distribute-lft-out_binary64_18102
11×associate-/r/_binary64_18097
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
div-inv_binary64_18148 associate-/l*_binary64_18096
flip3--_binary64_18155 flip--_binary64_18126
div-exp_binary64_18202 cbrt-undiv_binary64_18185
pow1_binary64_18212 add-log-exp_binary64_18190 frac-2neg_binary64_18162 clear-num_binary64_18150
Counts
2 → 155
Calls

2 calls:

12.0ms
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
7.0ms
(/.f64 z (-.f64 (+.f64 y 1) z))
Compiler

Compiled 3248 to 1813 computations (44.2% saved)

series325.0ms (6.5%)

Error
0b
Counts
2 → 39
Calls

2 calls:

165.0ms
(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
121.0ms
(/.f64 z (-.f64 (+.f64 y 1) z))
Compiler

Compiled 1739 to 1266 computations (27.2% saved)

simplify73.0ms (1.5%)

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
055834735

prune166.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh033
Picked011
Done011
Total1945199
Error
0b
Counts
199 → 5
Compiler

Compiled 3742 to 1967 computations (47.4% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
0.0b
(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
8.0b
(*.f64 x (/.f64 y z))

rewrite74.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
19×add-sqr-sqrt_binary64_18173
14×*-un-lft-identity_binary64_18151
13×associate-*r*_binary64_18091
12×add-cube-cbrt_binary64_18186
10×add-log-exp_binary64_18190 times-frac_binary64_18157
add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187
pow1_binary64_18212
associate-*l*_binary64_18092 cancel-sign-sub-inv_binary64_18117
prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 associate-*r/_binary64_18093 div-inv_binary64_18148 sum-log_binary64_18242 diff-log_binary64_18243
pow-prod-down_binary64_18222 div-exp_binary64_18202 cbrt-undiv_binary64_18185 *-commutative_binary64_18082 frac-add_binary64_18159 flip3-+_binary64_18154 flip-+_binary64_18125 distribute-lft-out_binary64_18102 +-commutative_binary64_18081 flip3--_binary64_18155 sub-neg_binary64_18144 flip--_binary64_18126 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 associate--l+_binary64_18088
Counts
3 → 63
Calls

3 calls:

9.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
7.0ms
(*.f64 x (/.f64 y z))
7.0ms
(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
Compiler

Compiled 1211 to 293 computations (75.8% saved)

series447.0ms (9%)

Error
0b
Counts
3 → 36
Calls

3 calls:

178.0ms
(-.f64 (+.f64 (/.f64 x z) (*.f64 x (/.f64 y z))) x)
153.0ms
(+.f64 (/.f64 x z) (*.f64 x (/.f64 y z)))
99.0ms
(*.f64 x (/.f64 y z))
Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify70.0ms (1.4%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049721173
149721173

prune58.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done022
Total995104
Error
0b
Counts
104 → 5
Compiler

Compiled 1325 to 419 computations (68.4% saved)

regimes362.0ms (7.3%)

Accuracy

Total 0.2b remaining (98.9%)

Threshold costs 0.2b (98.9%)

Compiler

Compiled 2245 to 1759 computations (21.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05367
15367

end0.0ms (0%)

sample1.1s (22.7%)

Algorithm
intervals
Results
237.0ms8000×body128valid
38.0ms1028×body128invalid
Compiler

Compiled 617 to 474 computations (23.2% saved)

Profiling

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