Details

Time bar (total: 2.9s)

analyze32.0ms (1.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample32.0ms (1.1%)

Algorithm
intervals
Results
15.0ms72×body1024valid
3.0ms38×body512valid
3.0ms117×body128valid
1.0ms10×body2048valid
1.0ms19×body256valid
Compiler

Compiled 16 to 12 computations (25% saved)

simplify17.0ms (0.6%)

Algorithm
egg-herbie
Rules
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
25×sub-neg_binary64
17×div-sub_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1149
2179
3219
4289
5359
6529
7789
8979
91319
101839
111929
122079
132059
141689

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
35.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
35.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 (exp.f64 x) 1) x)
3.9b
(-.f64 (exp.f64 x) 1)

rewrite108.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
34.8b
Rules
35×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
21×times-frac_binary64
15×add-cube-cbrt_binary64
10×difference-of-squares_binary64
Counts
2 → 64
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 755 to 428 computations (43.3% saved)

series28.0ms (0.9%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

9.0ms
(/.f64 (-.f64 (exp.f64 x) 1) x)
7.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 247 to 186 computations (24.7% saved)

simplify113.0ms (3.9%)

Algorithm
egg-herbie
Rules
486×associate-/l*_binary64
359×associate-*l/_binary64
294×associate-/r*_binary64
294×associate-/l/_binary64
267×associate-/r/_binary64
Counts
76 → 40
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131147
12381094
25361082
312981076
442401076
549631076
649461076

prune27.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New37340
Fresh000
Picked101
Done000
Total38341
Error
0.0b
Counts
41 → 3
Alt Table
StatusErrorProgram
26.5b
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) x)
Compiler

Compiled 395 to 245 computations (38% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/6 (*.f64 x 1/24))
0.1b
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
0.3b
(*.f64 x 1/24)

rewrite81.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64
10×add-cube-cbrt_binary64
10×add-cbrt-cube_binary64
10×add-exp-log_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
5.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
4.0ms
(*.f64 x 1/24)
3.0ms
(+.f64 1/6 (*.f64 x 1/24))
Compiler

Compiled 1415 to 1092 computations (22.8% saved)

series50.0ms (1.7%)

Error
0.0b
Counts
4 → 20
Calls

4 calls:

14.0ms
(*.f64 x (+.f64 1/6 (*.f64 x 1/24)))
10.0ms
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
9.0ms
(+.f64 1/6 (*.f64 x 1/24))
6.0ms
(*.f64 x 1/24)
Compiler

Compiled 552 to 444 computations (19.6% saved)

simplify120.0ms (4.1%)

Algorithm
egg-herbie
Rules
769×distribute-rgt-in_binary64
755×distribute-lft-in_binary64
285×*-commutative_binary64
254×sub-neg_binary64
163×associate-*l*_binary64
Counts
93 → 67
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251188
13151089
210581083
334881083
443111083
549801083
648841083

prune50.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh022
Picked011
Done000
Total67370
Error
0.0b
Counts
70 → 3
Alt Table
StatusErrorProgram
26.5b
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) x)
Compiler

Compiled 1123 to 862 computations (23.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
0.0b
(pow.f64 (exp.f64 x) 2)
0.0b
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
3.9b
(+.f64 -1 (pow.f64 (exp.f64 x) 2))

rewrite193.0ms (6.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
162×*-un-lft-identity_binary64
146×times-frac_binary64
76×add-sqr-sqrt_binary64
76×add-cube-cbrt_binary64
43×distribute-lft-out_binary64
Counts
4 → 179
Calls

4 calls:

17.0ms
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
10.0ms
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
5.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
3.0ms
(pow.f64 (exp.f64 x) 2)
Compiler

Compiled 3631 to 2362 computations (34.9% saved)

series63.0ms (2.2%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

16.0ms
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
13.0ms
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1))
10.0ms
(pow.f64 (exp.f64 x) 2)
10.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
Compiler

Compiled 736 to 546 computations (25.8% saved)

simplify198.0ms (6.8%)

Algorithm
egg-herbie
Rules
569×associate-/r*_binary64
525×associate-/l/_binary64
325×distribute-rgt-in_binary64
289×distribute-lft-in_binary64
229×div-sub_binary64
Counts
203 → 178
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02725571
16275311
217724689
348344689
449384689

prune120.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh011
Picked011
Done011
Total1774181
Error
0.0b
Counts
181 → 4
Alt Table
StatusErrorProgram
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 1 3))) (/.f64 x (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x)))))
26.5b
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) x)
Compiler

Compiled 2852 to 1840 computations (35.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(pow.f64 (exp.f64 x) 2)
0.0b
(pow.f64 (exp.f64 x) 3)
3.9b
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
3.9b
(-.f64 1 (exp.f64 x))

rewrite111.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
pow-pow_binary64
add-log-exp_binary64
Counts
4 → 76
Calls

4 calls:

5.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
4.0ms
(-.f64 1 (exp.f64 x))
3.0ms
(pow.f64 (exp.f64 x) 3)
3.0ms
(pow.f64 (exp.f64 x) 2)
Compiler

Compiled 2298 to 1540 computations (33% saved)

series70.0ms (2.4%)

Error
0.0b
Counts
4 → 24
Calls

4 calls:

13.0ms
(-.f64 1 (exp.f64 x))
13.0ms
(pow.f64 (exp.f64 x) 3)
12.0ms
(+.f64 -1 (pow.f64 (exp.f64 x) 2))
11.0ms
(pow.f64 (exp.f64 x) 2)
Compiler

Compiled 1561 to 1144 computations (26.7% saved)

simplify130.0ms (4.5%)

Algorithm
egg-herbie
Rules
519×log-prod_binary64
463×exp-prod_binary64
348×cube-prod_binary64
293×unswap-sqr_binary64
234×associate-+l+_binary64
Counts
100 → 61
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0159961
1348901
2994878
32888878
43967875
54908875
65001875

prune55.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh011
Picked101
Done022
Total61465
Error
0.0b
Counts
65 → 4
Alt Table
StatusErrorProgram
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 1 3))) (/.f64 x (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (-.f64 1 (sqrt.f64 (exp.f64 x)))))))
26.5b
(+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 x 1/24))))))
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) 1)) x)
35.0b
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1))) x)
Compiler

Compiled 1369 to 908 computations (33.7% saved)

regimes280.0ms (9.6%)

Accuracy

Total 0.5b remaining (92.6%)

Threshold costs 0.5b (92.6%)

Compiler

Compiled 2654 to 1975 computations (25.6% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
distribute-neg-frac_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02145
13145
23645
33845
43945
53745

end1.0ms (0%)

Compiler

Compiled 31 to 20 computations (35.5% saved)

sample998.0ms (34.2%)

Algorithm
intervals
Results
403.0ms2630×body1024valid
117.0ms1334×body512valid
71.0ms3119×body128valid
46.0ms273×body2048valid
34.0ms644×body256valid
Compiler

Compiled 122 to 85 computations (30.3% saved)

Profiling

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