Details

Time bar (total: 2.2s)

analyze1.8s (80.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
3.1%96.5%0.3%9
4.7%95%0.3%10
4.7%95%0.3%11
5.1%82.1%12.8%12
6.2%74.7%19%13
6.4%74.5%19%14
Compiler

Compiled 34 to 30 computations (11.8% saved)

sample65.0ms (2.9%)

Algorithm
intervals
Results
24.0ms256×body80valid
16.0ms168×body80nan
Compiler

Compiled 67 to 66 computations (1.5% saved)

simplify44.0ms (2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0494044
1494044

prune10.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 3.5b

Counts
2 → 1
Compiler

Compiled 58 to 50 computations (13.8% saved)

localize22.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 z (sqrt.f64 (+.f64 t a)))
0.4b
(/.f64 2/3 t)
3.0b
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
4.5b
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)

rewrite40.0ms (1.8%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64
20×frac-sub_binary64
19×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
12×times-frac_binary64
flip3--_binary64 flip--_binary64
associate-*r/_binary64 frac-times_binary64
associate-*r*_binary64
associate-/r*_binary64 add-log-exp_binary64 pow1_binary64
flip3-+_binary64 sqrt-prod_binary64 flip-+_binary64
associate--r+_binary64 associate-/l*_binary64 sqrt-div_binary64
sub-neg_binary64 cbrt-undiv_binary64 associate-*l*_binary64 div-exp_binary64
associate-/l/_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 associate--l+_binary64 associate-*l/_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-lft-out_binary64 *-commutative_binary64
Counts
4 → 104
Calls

4 calls:

15.0ms
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
9.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
8.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
4.0ms
(/.f64 2/3 t)

series96.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

56.0ms
(-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a 5/6) (/.f64 2/3 t))))
23.0ms
(/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t)
15.0ms
(*.f64 z (sqrt.f64 (+.f64 t a)))
2.0ms
(/.f64 2/3 t)

simplify122.0ms (5.5%)

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049472992
149472992

prune23.0ms (1.1%)

Profiling

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