Details

Time bar (total: 7.2s)

analyze499.0ms (6.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0496348
1496348
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
12.5%87.4%0.1%4
18.7%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample32.0ms (0.4%)

Algorithm
intervals
Results
8.0ms256×body128valid
7.0ms220×body128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify110.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
0486812
1486812

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.8b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.1b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite69.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
17×add-sqr-sqrt_binary64_14081
16×add-exp-log_binary64_14097 add-cbrt-cube_binary64_14095
13×times-frac_binary64_14065 associate-*r*_binary64_13999
12×add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
div-exp_binary64_14110 cbrt-undiv_binary64_14093
pow1_binary64_14120 prod-exp_binary64_14108 cbrt-unprod_binary64_14092 cosh-def_binary64_14245
associate-/l/_binary64_14006 associate-/r*_binary64_14003 associate-*l*_binary64_14000
add-log-exp_binary64_14098 div-inv_binary64_14056 frac-times_binary64_14069 associate-*l/_binary64_14002 associate-*r/_binary64_14001 unswap-sqr_binary64_14027
frac-2neg_binary64_14070 clear-num_binary64_14058 associate-/l*_binary64_14004 pow-prod-down_binary64_14130 *-commutative_binary64_13990
Counts
2 → 60
Calls

2 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 891 to 238 computations (73.3% saved)

series499.0ms (6.9%)

Error
0.4b
Counts
2 → 19
Calls

2 calls:

308.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
170.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 848 to 584 computations (31.1% saved)

simplify99.0ms (1.4%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049551143
149551143

prune64.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New71879
Fresh000
Picked011
Done000
Total71980
Error
0.3b
Counts
80 → 9
Compiler

Compiled 1140 to 348 computations (69.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
7.1b
(/.f64 z (/.f64 y x))

rewrite270.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
471×times-frac_binary64_14065
229×add-cube-cbrt_binary64_14094 add-sqr-sqrt_binary64_14081 *-un-lft-identity_binary64_14059
57×associate-/r*_binary64_14003
22×div-inv_binary64_14056
16×add-exp-log_binary64_14097 add-cbrt-cube_binary64_14095
div-exp_binary64_14110 cbrt-undiv_binary64_14093
associate-/r/_binary64_14005 associate-/l*_binary64_14004
pow1_binary64_14120 add-log-exp_binary64_14098 frac-2neg_binary64_14070 clear-num_binary64_14058
cosh-def_binary64_14245 associate-/l/_binary64_14006
Counts
2 → 267
Calls

2 calls:

16.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
6.0ms
(/.f64 z (/.f64 y x))
Compiler

Compiled 5629 to 1268 computations (77.5% saved)

series400.0ms (5.6%)

Error
0.3b
Counts
2 → 20
Calls

2 calls:

299.0ms
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
89.0ms
(/.f64 z (/.f64 y x))
Compiler

Compiled 724 to 476 computations (34.3% saved)

simplify143.0ms (2%)

Algorithm
egg-herbie
Counts
287 → 287
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050127089

prune211.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2834287
Fresh527
Picked101
Done011
Total2897296
Error
0.2b
Counts
296 → 7
Compiler

Compiled 5388 to 853 computations (84.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (cosh.f64 x) z)
7.4b
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))

rewrite71.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
36×add-sqr-sqrt_binary64_14081
31×times-frac_binary64_14065
24×add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
16×add-exp-log_binary64_14097 add-cbrt-cube_binary64_14095
13×associate-*l*_binary64_14000 associate-*r*_binary64_13999
div-exp_binary64_14110 cbrt-undiv_binary64_14093
pow1_binary64_14120 prod-exp_binary64_14108 cbrt-unprod_binary64_14092 unswap-sqr_binary64_14027
div-inv_binary64_14056 associate-/l*_binary64_14004 associate-/r*_binary64_14003
add-log-exp_binary64_14098
pow-prod-down_binary64_14130 frac-times_binary64_14069 associate-*l/_binary64_14002 associate-*r/_binary64_14001 *-commutative_binary64_13990 frac-2neg_binary64_14070 clear-num_binary64_14058 cosh-def_binary64_14245 associate-/l/_binary64_14006
Counts
2 → 78
Calls

2 calls:

11.0ms
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
3.0ms
(/.f64 (cosh.f64 x) z)
Compiler

Compiled 1228 to 284 computations (76.9% saved)

series454.0ms (6.3%)

Error
0.2b
Counts
2 → 19
Calls

2 calls:

318.0ms
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x))
121.0ms
(/.f64 (cosh.f64 x) z)
Compiler

Compiled 854 to 598 computations (30% saved)

simplify72.0ms (1%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050351482

prune62.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done011
Total977104
Error
0.2b
Counts
104 → 7
Compiler

Compiled 1434 to 360 computations (74.9% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 y (*.f64 x z)) (*.f64 1/2 (/.f64 (*.f64 y x) z)))
0.0b
(*.f64 1/2 (/.f64 (*.f64 y x) z))
4.1b
(/.f64 (*.f64 y x) z)
7.2b
(/.f64 y (*.f64 x z))

rewrite89.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.2b
Rules
23×add-exp-log_binary64_14097 add-cbrt-cube_binary64_14095
13×add-sqr-sqrt_binary64_14081
11×add-cube-cbrt_binary64_14094 *-un-lft-identity_binary64_14059
times-frac_binary64_14065
associate-*r*_binary64_13999
pow1_binary64_14120 prod-exp_binary64_14108 div-exp_binary64_14110 add-log-exp_binary64_14098 cbrt-undiv_binary64_14093 cbrt-unprod_binary64_14092
associate-/l*_binary64_14004 associate-/r*_binary64_14003
div-inv_binary64_14056 associate-*l*_binary64_14000
frac-2neg_binary64_14070 clear-num_binary64_14058 associate-*r/_binary64_14001
pow-prod-down_binary64_14130 unswap-sqr_binary64_14027 *-commutative_binary64_13990 sum-log_binary64_14150 frac-add_binary64_14067 flip3-+_binary64_14062 flip-+_binary64_14033 +-commutative_binary64_13989
Counts
4 → 81
Calls

4 calls:

7.0ms
(*.f64 1/2 (/.f64 (*.f64 y x) z))
7.0ms
(+.f64 (/.f64 y (*.f64 x z)) (*.f64 1/2 (/.f64 (*.f64 y x) z)))
4.0ms
(/.f64 (*.f64 y x) z)
4.0ms
(/.f64 y (*.f64 x z))
Compiler

Compiled 1622 to 523 computations (67.8% saved)

series573.0ms (8%)

Error
0.2b
Counts
4 → 39
Calls

4 calls:

226.0ms
(+.f64 (/.f64 y (*.f64 x z)) (*.f64 1/2 (/.f64 (*.f64 y x) z)))
118.0ms
(*.f64 1/2 (/.f64 (*.f64 y x) z))
109.0ms
(/.f64 y (*.f64 x z))
99.0ms
(/.f64 (*.f64 y x) z)
Compiler

Compiled 1424 to 874 computations (38.6% saved)

simplify42.0ms (0.6%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050801472

prune78.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh044
Picked011
Done022
Total1207127
Error
0.2b
Counts
127 → 7
Compiler

Compiled 1927 to 594 computations (69.2% saved)

regimes952.0ms (13.2%)

Accuracy

Total 0.4b remaining (93.1%)

Threshold costs 0.4b (93.1%)

Compiler

Compiled 6722 to 4541 computations (32.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03177
13177

end0.0ms (0%)

sample2.4s (33%)

Algorithm
intervals
Results
446.0ms7365×body128invalid
269.0ms8000×body128valid
Compiler

Compiled 1378 to 922 computations (33.1% saved)

Profiling

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