Details

analyze1.6s (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	140
1	4965	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample102.0ms (0.8%)

Algorithm

1×

intervals

Results

27.0ms	52×	body	1024	valid
14.0ms	14×	body	2048	valid
14.0ms	48×	body	512	valid
8.0ms	99×	body	128	valid
8.0ms	43×	body	256	valid
3.0ms	58×	body	128	nan
2.0ms	9×	body	1024	nan
2.0ms	9×	body	512	nan
2.0ms	27×	body	128	overflowed
1.0ms	9×	body	256	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify379.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (364.0ms)

Iter	Nodes	Cost
0	5254	20

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

28.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.1b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
2.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.7b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite170.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

Rules

19×	`add-sqr-sqrt_binary64_8966`
17×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
12×	`times-frac_binary64_8950`
11×	`pow1_binary64_9005`
9×	`add-log-exp_binary64_8983`
8×	`add-exp-log_binary64_8982` `add-cbrt-cube_binary64_8980`
5×	`log-pow_binary64_9033`
4×	`associate-+l+_binary64_8877` `log-div_binary64_9031` `associate-/l*_binary64_8889`
3×	`flip3-+_binary64_8947` `flip-+_binary64_8918` `cancel-sign-sub-inv_binary64_8910` `log-prod_binary64_9030` `associate-/r_binary64_8888` `associate-l_binary64_8885` `associate-r*_binary64_8884`
2×	`sum-log_binary64_9035` `div-sub_binary64_8949`
1×	`diff-log_binary64_9036` `associate-+l-_binary64_8879` `sub-neg_binary64_8937` `+-commutative_binary64_8874` `rem-log-exp_binary64_8985` `div-exp_binary64_8995` `cbrt-undiv_binary64_8978` `frac-2neg_binary64_8955` `clear-num_binary64_8943` `div-inv_binary64_8941` `pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `cbrt-unprod_binary64_8977` `unswap-sqr_binary64_8912` `*-commutative_binary64_8875`

Counts

4 → 82

Calls

4 calls:

11.0ms	(*.f64 y (exp.f64 z))
9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

Compiler

Compiled 1827 to 914 computations (50% saved)

series949.0ms (7%)

Error

0.8b

Counts

4 → 42

Calls

4 calls:

520.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
186.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
94.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
71.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 2297 to 1737 computations (24.4% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5009	2582

prune158.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Error

0.1b

Counts

125 → 9

Compiler

Compiled 2685 to 1413 computations (47.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
0.0b	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
0.0b	(*.f64 (exp.f64 z) y)
4.3b	(-.f64 (*.f64 (exp.f64 z) y) y)

rewrite126.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

34×	`*-un-lft-identity_binary64_8944`
31×	`add-sqr-sqrt_binary64_8966`
25×	`times-frac_binary64_8950`
24×	`add-cube-cbrt_binary64_8979`
19×	`cancel-sign-sub-inv_binary64_8910`
8×	`add-log-exp_binary64_8983` `add-cbrt-cube_binary64_8980` `distribute-rgt-out--_binary64_8898`
7×	`add-exp-log_binary64_8982`
6×	`pow1_binary64_9005`
4×	`associate-/l*_binary64_8889`
3×	`flip3--_binary64_8948` `flip--_binary64_8919` `associate-l_binary64_8885` `associate-r_binary64_8884` `associate-/r*_binary64_8888`
2×	`diff-log_binary64_9036` `sub-neg_binary64_8937` `div-sub_binary64_8949` `div-inv_binary64_8941` `associate-/l/_binary64_8891` `difference-of-squares_binary64_8913`
1×	`pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `cbrt-unprod_binary64_8977` `unswap-sqr_binary64_8912` `*-commutative_binary64_8875` `div-exp_binary64_8995` `cbrt-undiv_binary64_8978` `frac-2neg_binary64_8955` `clear-num_binary64_8943` `distribute-lft-out--_binary64_8896` `associate--r-_binary64_8883`

Counts

4 → 98

Calls

4 calls:

13.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
12.0ms	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
10.0ms	(*.f64 (exp.f64 z) y)
6.0ms	(-.f64 (*.f64 (exp.f64 z) y) y)

Compiler

Compiled 1840 to 449 computations (75.6% saved)

series669.0ms (4.9%)

Error

0.1b

Counts

4 → 54

Calls

4 calls:

343.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t))
157.0ms	(/.f64 (-.f64 (*.f64 (exp.f64 z) y) y) t)
75.0ms	(-.f64 (*.f64 (exp.f64 z) y) y)
58.0ms	(*.f64 (exp.f64 z) y)

Compiler

Compiled 1604 to 1069 computations (33.4% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4996	2306
1	4996	2306

prune416.0ms (3.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	150	11	161

Error

0.0b

Counts

161 → 11

Compiler

Compiled 2319 to 652 computations (71.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y))
0.1b	(/.f64 1 (/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y)))
4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)

rewrite184.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

90×	`times-frac_binary64_8950`
61×	`add-sqr-sqrt_binary64_8966`
59×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
18×	`add-exp-log_binary64_8982` `associate-/r*_binary64_8888`
13×	`add-cbrt-cube_binary64_8980`
11×	`associate-/r/_binary64_8890`
8×	`div-exp_binary64_8995`
7×	`pow1_binary64_9005`
6×	`add-log-exp_binary64_8983` `flip3--_binary64_8948` `flip--_binary64_8919` `div-inv_binary64_8941` `associate-/l*_binary64_8889`
4×	`cbrt-undiv_binary64_8978`
3×	`cancel-sign-sub-inv_binary64_8910` `associate-l_binary64_8885` `associate-r_binary64_8884`
2×	`1-exp_binary64_8988` `rec-exp_binary64_8994` `frac-2neg_binary64_8955` `clear-num_binary64_8943`
1×	`diff-log_binary64_9036` `sub-neg_binary64_8937` `inv-pow_binary64_9029` `pow-flip_binary64_9018` `pow-prod-down_binary64_9015` `prod-exp_binary64_8993` `cbrt-unprod_binary64_8977` `unswap-sqr_binary64_8912` `*-commutative_binary64_8875`

Counts

4 → 145

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y)))
10.0ms	(/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y))
6.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
5.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 3366 to 1073 computations (68.1% saved)

series582.0ms (4.3%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

245.0ms	(/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y))
160.0ms	(/.f64 1 (/.f64 t (-.f64 (*.f64 y (exp.f64 z)) y)))
81.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
54.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1560 to 1131 computations (27.5% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4976	3648
1	4976	3648

prune202.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	1	8	9
Picked	0	1	1
Done	1	0	1
Total	187	11	198

Error

0.0b

Counts

198 → 11

Compiler

Compiled 3744 to 2021 computations (46% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)
4.4b	(-.f64 (exp.f64 z) 1)
4.4b	(-.f64 (exp.f64 z) 1)

rewrite129.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_8966`
14×	`*-un-lft-identity_binary64_8944`
10×	`add-log-exp_binary64_8983`
9×	`cancel-sign-sub-inv_binary64_8910`
8×	`add-cube-cbrt_binary64_8979`
4×	`pow1_binary64_9005` `add-exp-log_binary64_8982` `add-cbrt-cube_binary64_8980` `difference-of-squares_binary64_8913`
3×	`diff-log_binary64_9036` `flip3--_binary64_8948` `sub-neg_binary64_8937` `flip--_binary64_8919` `cbrt-prod_binary64_8975`
2×	`difference-of-sqr-1_binary64_8914` `distribute-lft-out--_binary64_8896`
1×	`pow1/3_binary64_9026`

Counts

4 → 61

Calls

4 calls:

8.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
5.0ms	(-.f64 (exp.f64 z) 1)
5.0ms	(-.f64 (exp.f64 z) 1)
2.0ms	(cbrt.f64 t)

Compiler

Compiled 2454 to 1014 computations (58.7% saved)

series262.0ms (1.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

104.0ms	(cbrt.f64 t)
72.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
25.0ms	(-.f64 (exp.f64 z) 1)
24.0ms	(-.f64 (exp.f64 z) 1)

Compiler

Compiled 2238 to 1357 computations (39.4% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4992	824
1	4992	824

prune167.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	85	11	96

Error

0.0b

Counts

96 → 11

Compiler

Compiled 3207 to 1345 computations (58.1% saved)

regimes2.0s (15%)

Accuracy

Total 8.9b remaining (97.5%)

Threshold costs 0b (0%)

Compiler

Compiled 17258 to 13519 computations (21.7% saved)

bsearch134.0ms (1%)

Steps

Iters	Range		Point
7	7.97454170099151e-27	2.858722491203012e-25	1.4860099414128433e-25
0	3.602189116886651e-100	3.635059344424618e-100	3.6186242306556346e-100
8	-897.7383380720997	-2.069762033581559	-2.1038187295767012
8	-1.3027893752252653e+121	-8.952009622468315e+117	-1.8357328709070124e+119

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	677	160
1	677	160

end0.0ms (0%)

sample4.9s (35.8%)

Algorithm

1×

intervals

Results

963.0ms	1818×	body	1024	valid
428.0ms	1390×	body	512	valid
342.0ms	319×	body	2048	valid
338.0ms	3727×	body	128	valid
132.0ms	746×	body	256	valid
90.0ms	1563×	body	128	nan
57.0ms	272×	body	512	nan
55.0ms	824×	body	128	overflowed
53.0ms	167×	body	1024	nan
22.0ms	170×	body	256	nan
1.0ms	20×	body	128	invalid

Compiler

Compiled 1875 to 1453 computations (22.5% saved)

Details

analyze1.6s (11.8%)

sample102.0ms (0.8%)

simplify379.0ms (2.8%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite170.0ms (1.3%)

series949.0ms (7%)

simplify93.0ms (0.7%)

prune158.0ms (1.2%)

localize8.0ms (0.1%)

rewrite126.0ms (0.9%)

series669.0ms (4.9%)

simplify62.0ms (0.5%)

prune416.0ms (3.1%)

localize13.0ms (0.1%)

rewrite184.0ms (1.4%)

series582.0ms (4.3%)

simplify111.0ms (0.8%)

prune202.0ms (1.5%)

localize28.0ms (0.2%)

rewrite129.0ms (1%)

series262.0ms (1.9%)

simplify93.0ms (0.7%)

prune167.0ms (1.2%)

regimes2.0s (15%)

bsearch134.0ms (1%)

simplify24.0ms (0.2%)

end0.0ms (0%)

sample4.9s (35.8%)

Profiling