Details

analyze834.0ms (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.6b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(-.f64 (*.f64 t z) x)
0.2b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
7.8b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_15082`
25×	`times-frac_binary64_15088`
24×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104`
10×	`distribute-lft-out_binary64_15033`
8×	`add-cbrt-cube_binary64_15118` `add-log-exp_binary64_15121` `add-exp-log_binary64_15120`
7×	`associate-/r_binary64_15026` `associate-/l_binary64_15027`
6×	`cancel-sign-sub-inv_binary64_15048`
4×	`associate-/l/_binary64_15029` `flip3--_binary64_15086` `pow1_binary64_15143` `flip--_binary64_15057` `associate-/r/_binary64_15028`
3×	`div-sub_binary64_15087`
2×	`div-exp_binary64_15133` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `flip-+_binary64_15056` `cbrt-undiv_binary64_15116` `sub-neg_binary64_15075` `div-inv_binary64_15079` `diff-log_binary64_15174` `flip3-+_binary64_15085`
1×	`associate-+r-_binary64_15016`

Counts

4 → 101

Calls

4 calls:

17.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
10.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
5.0ms	(-.f64 (*.f64 y z) x)
5.0ms	(-.f64 (*.f64 t z) x)

series233.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
75.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
21.0ms	(-.f64 (*.f64 t z) x)
20.0ms	(-.f64 (*.f64 y z) x)

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5151	2660

prune122.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	9	114

Error

0.7b

Counts

114 → 9

Compiler

Compiled 2972 to 859 computations (71.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.2b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
0.3b	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
7.8b	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))

rewrite77.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`times-frac_binary64_15088`
95×	`*-un-lft-identity_binary64_15082`
68×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104`
22×	`associate-/r*_binary64_15026`
19×	`add-exp-log_binary64_15120`
16×	`distribute-lft-out_binary64_15033`
13×	`add-cbrt-cube_binary64_15118` `associate-/r/_binary64_15028`
12×	`div-inv_binary64_15079`
11×	`associate-/l*_binary64_15027`
9×	`div-exp_binary64_15133`
7×	`flip3--_binary64_15086` `flip--_binary64_15057`
6×	`add-log-exp_binary64_15121`
5×	`cbrt-undiv_binary64_15116` `pow1_binary64_15143`
4×	`associate-/l/_binary64_15029`
3×	`frac-2neg_binary64_15093` `cancel-sign-sub-inv_binary64_15048` `clear-num_binary64_15081`
2×	`flip-+_binary64_15056` `1-exp_binary64_15126` `rec-exp_binary64_15132` `flip3-+_binary64_15085`
1×	`inv-pow_binary64_15167` `div-sub_binary64_15087` `sub-neg_binary64_15075` `diff-log_binary64_15174` `pow-flip_binary64_15156`

Counts

4 → 175

Calls

4 calls:

27.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
14.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
13.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))
5.0ms	(-.f64 (*.f64 z t) x)

series299.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))) (+.f64 x 1))
82.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x)))
65.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 y z) x))
22.0ms	(-.f64 (*.f64 z t) x)

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	5253
1	4968	5253

prune169.0ms (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	188	8	196

Error

0.7b

Counts

196 → 8

Compiler

Compiled 5376 to 1593 computations (70.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z t) x)
0.2b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
0.5b	(/.f64 1 (-.f64 (*.f64 z t) x))
7.5b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_15082`
37×	`add-sqr-sqrt_binary64_15104`
32×	`times-frac_binary64_15088`
30×	`add-cube-cbrt_binary64_15117`
19×	`add-exp-log_binary64_15120`
15×	`associate-r_binary64_15022`
13×	`add-cbrt-cube_binary64_15118`
7×	`pow1_binary64_15143` `associate-/r*_binary64_15026`
6×	`add-log-exp_binary64_15121` `associate-/r/_binary64_15028` `associate-/l*_binary64_15027`
5×	`div-exp_binary64_15133` `flip3--_binary64_15086` `flip--_binary64_15057`
4×	`prod-exp_binary64_15131` `distribute-lft-out_binary64_15033`
3×	`unswap-sqr_binary64_15050` `cancel-sign-sub-inv_binary64_15048` `cbrt-undiv_binary64_15116` `div-inv_binary64_15079` `associate-l_binary64_15023`
2×	`associate-/l/_binary64_15029` `frac-2neg_binary64_15093` `frac-times_binary64_15092` `clear-num_binary64_15081` `flip-+_binary64_15056` `cbrt-unprod_binary64_15115` `associate-*l/_binary64_15025` `1-exp_binary64_15126` `rec-exp_binary64_15132` `flip3-+_binary64_15085`
1×	`pow-prod-down_binary64_15153` `inv-pow_binary64_15167` `un-div-inv_binary64_15080` `sub-neg_binary64_15075` `-commutative_binary64_15013` `diff-log_binary64_15174` `associate-r/_binary64_15024` `pow-flip_binary64_15156`

Counts

4 → 124

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))
8.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
7.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))
4.0ms	(-.f64 (*.f64 z t) x)

series239.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

123.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))) (+.f64 x 1))
72.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 z t) x)))
23.0ms	(/.f64 1 (-.f64 (*.f64 z t) x))
21.0ms	(-.f64 (*.f64 z t) x)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5011	2886

prune126.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Error

0.7b

Counts

144 → 8

Compiler

Compiled 3595 to 1194 computations (66.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (+.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))) (+.f64 x 1))
0.3b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))
7.8b	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x))
18.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3))

rewrite139.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

236×	`times-frac_binary64_15088`
180×	`cbrt-prod_binary64_15113`
169×	`*-un-lft-identity_binary64_15082`
142×	`add-cube-cbrt_binary64_15117` `add-sqr-sqrt_binary64_15104`
75×	`cube-prod_binary64_15110` `unpow-prod-down_binary64_15161`
46×	`associate-/r*_binary64_15026`
25×	`associate-/r/_binary64_15028`
18×	`div-inv_binary64_15079`
16×	`distribute-lft-out_binary64_15033`
12×	`flip3--_binary64_15086` `add-exp-log_binary64_15120` `flip--_binary64_15057`
11×	`associate-/l*_binary64_15027`
9×	`add-cbrt-cube_binary64_15118`
5×	`cube-mult_binary64_15112` `sqr-pow_binary64_15054` `pow1_binary64_15143` `unpow3_binary64_15148`
4×	`div-exp_binary64_15133` `associate-/l/_binary64_15029` `add-log-exp_binary64_15121`
3×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `cbrt-undiv_binary64_15116`
2×	`pow1/3_binary64_15164` `cbrt-div_binary64_15114` `flip-+_binary64_15056` `cube-div_binary64_15111` `flip3-+_binary64_15085` `pow-flip_binary64_15156`
1×	`inv-pow_binary64_15167` `div-sub_binary64_15087` `rem-cbrt-cube_binary64_15106` `1-exp_binary64_15126` `rec-exp_binary64_15132`

Counts

4 → 300

Calls

4 calls:

49.0ms	(/.f64 (+.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))) (+.f64 x 1))
20.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3))
10.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x))

series323.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(/.f64 (+.f64 x (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))) (+.f64 x 1))
77.0ms	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3)))
62.0ms	(/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x))
58.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 z t) x) (-.f64 (.f64 z y) x)) 3))

simplify118.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

312 → 312

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5000	10001

prune385.0ms (7.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	312	0	312
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	312	8	320

Error

0.7b

Counts

320 → 8

Compiler

Compiled 9828 to 3589 computations (63.5% saved)

regimes335.0ms (6.6%)

Accuracy

Total 2.2b remaining (71.3%)

Threshold costs 0b (0%)

Compiler

Compiled 3604 to 2232 computations (38.1% saved)

bsearch43.0ms (0.8%)

Steps

Iters	Range		Point
9	1.1608526943634623e+149	2.0524206288100408e+156	8.131727358933532e+152
6	-1.0433296381520185e+143	-1.4039248670497098e+142	-4.427939104197181e+142

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	52
1	44	52

end0.0ms (0%)

sample1.2s (23%)

Algorithm

1×

intervals

Results

388.0ms	8000×	body	128	valid
15.0ms	327×	body	128	invalid

Compiler

Compiled 776 to 484 computations (37.6% saved)

Details

analyze834.0ms (16.5%)

sample22.0ms (0.4%)

simplify64.0ms (1.3%)

prune3.0ms (0.1%)

localize11.0ms (0.2%)

rewrite45.0ms (0.9%)

series233.0ms (4.6%)

simplify64.0ms (1.3%)

prune122.0ms (2.4%)

localize12.0ms (0.2%)

rewrite77.0ms (1.5%)

series299.0ms (5.9%)

simplify89.0ms (1.8%)

prune169.0ms (3.3%)

localize12.0ms (0.2%)

rewrite50.0ms (1%)

series239.0ms (4.7%)

simplify67.0ms (1.3%)

prune126.0ms (2.5%)

localize15.0ms (0.3%)

rewrite139.0ms (2.7%)

series323.0ms (6.4%)

simplify118.0ms (2.3%)

prune385.0ms (7.6%)

regimes335.0ms (6.6%)

bsearch43.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (23%)

Profiling