Details

Time bar (total: 1.8s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (1.3%)

Algorithm
1×intervals
Results
7.0ms40×body320valid
6.0ms63×body640valid
3.0ms128×body80valid
2.0ms25×body160valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify16.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
07716
17716

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 15.5b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
4.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite49.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
98×*-un-lft-identity_binary64
72×add-sqr-sqrt_binary64
69×times-frac_binary64
32×add-cube-cbrt_binary64
27×distribute-lft-out--_binary64
17×difference-of-squares_binary64
11×associate-/r*_binary64 add-exp-log_binary64
10×distribute-lft-out_binary64
7×add-cbrt-cube_binary64
6×associate-/r/_binary64 associate-/l*_binary64 div-inv_binary64
5×add-log-exp_binary64 pow1_binary64
4×difference-of-sqr-1_binary64 div-exp_binary64
3×flip--_binary64
2×flip3--_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 pow-flip_binary64 flip-+_binary64
1×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 frac-sub_binary64
Counts
3 → 124
Calls

3 calls:

29.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(/.f64 1 (-.f64 x 1))
6.0ms
(/.f64 1 (+.f64 x 1))

series11.0ms (0.6%)

Counts
3 → 9
Calls

3 calls:

6.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
2.0ms
(/.f64 1 (-.f64 x 1))
2.0ms
(/.f64 1 (+.f64 x 1))

simplify85.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049162118
149162118

prune107.0ms (6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1312133
Fresh000
Picked101
Done000
Total1322134

Merged error: 0.6b

Counts
134 → 2
Compiler

Compiled 2348 to 1936 computations (17.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite8.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 29
Calls

1 calls:

7.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series9.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify103.0ms (5.8%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04913557
14913557

prune27.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh101
Picked011
Done000
Total30434

Merged error: 0.6b

Counts
34 → 4
Compiler

Compiled 517 to 352 computations (31.9% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite23.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
18×cbrt-div_binary64
15×add-exp-log_binary64
12×pow1_binary64
9×flip3-+_binary64 *-un-lft-identity_binary64 pow1/3_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 pow-flip_binary64 flip-+_binary64 cbrt-prod_binary64
8×associate-/r/_binary64
7×add-cbrt-cube_binary64
4×add-log-exp_binary64 div-exp_binary64 frac-times_binary64
3×prod-exp_binary64 associate-/l*_binary64 times-frac_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 rec-exp_binary64 pow-sqr_binary64 associate-*l/_binary64
1×associate-/r*_binary64 cbrt-unprod_binary64 pow-plus_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 div-inv_binary64 pow2_binary64
Counts
4 → 82
Calls

4 calls:

11.0ms
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series40.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify86.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
054791548

prune100.0ms (5.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New93194
Fresh022
Picked011
Done011
Total93598

Merged error: 0.6b

Counts
98 → 5
Compiler

Compiled 2776 to 1874 computations (32.5% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.4b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite13.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64
8×cbrt-div_binary64 *-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
Counts
4 → 52
Calls

4 calls:

3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series40.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
10.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify134.0ms (7.5%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (113.0ms)

IterNodesCost
048101156
148101156

prune87.0ms (4.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done022
Total64569

Merged error: 0.6b

Counts
69 → 5
Compiler

Compiled 2740 to 1886 computations (31.2% saved)

regimes20.0ms (1.1%)

Compiler

Compiled 96 to 72 computations (25% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample756.0ms (42.4%)

Algorithm
1×intervals
Results
198.0ms1933×body640valid
124.0ms4229×body80valid
92.0ms1216×body320valid
32.0ms622×body160valid
Compiler

Compiled 113 to 88 computations (22.1% saved)

Profiling

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