Details

analyze386.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify289.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (284.0ms)

Iter	Nodes	Cost
0	5830	21

prune3.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_22947`
12×	`*-un-lft-identity_binary64_22925`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
9×	`add-cube-cbrt_binary64_22960`
8×	`add-log-exp_binary64_22964`
7×	`associate-r_binary64_22865`
6×	`cancel-sign-sub-inv_binary64_22891`
5×	`pow1_binary64_22986`
4×	`associate-*r/_binary64_22867` `distribute-lft-in_binary64_22874` `distribute-rgt-in_binary64_22875`
3×	`associate-/r_binary64_22869` `times-frac_binary64_22931` `associate-l*_binary64_22866` `sum-log_binary64_23016`
2×	`sub-neg_binary64_22918` `flip--_binary64_22900` `cbrt-undiv_binary64_22959` `prod-exp_binary64_22974` `difference-of-squares_binary64_22894` `associate-/r/_binary64_22871` `div-exp_binary64_22976` `flip3-+_binary64_22928` `flip-+_binary64_22899` `flip3--_binary64_22929` `associate-/l/_binary64_22872` `cbrt-unprod_binary64_22958`
1×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `distribute-lft-out--_binary64_22877` `-commutative_binary64_22856` `pow-prod-down_binary64_22996` `associate-+l+_binary64_22858` `div-inv_binary64_22922` `+-commutative_binary64_22855` `unswap-sqr_binary64_22893` `difference-of-sqr-1_binary64_22895` `associate-/l_binary64_22870`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
7.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series70.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
20.0ms	(*.f64 6 (-.f64 x 1))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5497	1395

prune95.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Error

Counts

80 → 3

Compiler

Compiled 1680 to 1227 computations (27% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite47.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_22947`
48×	`*-un-lft-identity_binary64_22925`
43×	`times-frac_binary64_22931`
27×	`add-cube-cbrt_binary64_22960` `associate-r_binary64_22865`
14×	`difference-of-squares_binary64_22894`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
8×	`add-log-exp_binary64_22964`
7×	`distribute-lft-out--_binary64_22877` `difference-of-sqr-1_binary64_22895` `associate-/l*_binary64_22870`
5×	`pow1_binary64_22986`
4×	`associate-/r/_binary64_22871`
3×	`associate-/r_binary64_22869` `flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-l*_binary64_22866` `sum-log_binary64_23016`
2×	`cbrt-undiv_binary64_22959` `prod-exp_binary64_22974` `div-inv_binary64_22922` `div-exp_binary64_22976` `unswap-sqr_binary64_22893` `associate-/l/_binary64_22872` `cbrt-unprod_binary64_22958`
1×	`frac-2neg_binary64_22936` `flip--_binary64_22900` `clear-num_binary64_22924` `associate-r/_binary64_22867` `-commutative_binary64_22856` `pow-prod-down_binary64_22996` `associate-+l+_binary64_22858` `div-sub_binary64_22930` `+-commutative_binary64_22855` `flip3--_binary64_22929`

Counts

3 → 107

Calls

3 calls:

17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series83.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
34.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	3245
1	4940	3245

prune159.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 3043 to 2184 computations (28.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
0.0b	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))

rewrite56.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

186×	`times-frac_binary64_22931`
151×	`add-sqr-sqrt_binary64_22947`
135×	`*-un-lft-identity_binary64_22925`
87×	`add-cube-cbrt_binary64_22960`
34×	`associate-/r*_binary64_22869`
32×	`difference-of-squares_binary64_22894`
16×	`distribute-lft-out--_binary64_22877` `difference-of-sqr-1_binary64_22895`
11×	`associate-/r/_binary64_22871`
10×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
8×	`add-log-exp_binary64_22964`
6×	`div-inv_binary64_22922` `associate-/l*_binary64_22870`
5×	`flip--_binary64_22900` `flip3--_binary64_22929`
4×	`cbrt-undiv_binary64_22959` `div-exp_binary64_22976`
3×	`pow1_binary64_22986` `sum-log_binary64_23016`
2×	`frac-2neg_binary64_22936` `clear-num_binary64_22924` `flip3-+_binary64_22928` `flip-+_binary64_22899` `associate-/l/_binary64_22872`
1×	`associate-+l+_binary64_22858` `+-commutative_binary64_22855`

Counts

3 → 186

Calls

3 calls:

14.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series77.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
27.0ms	(/.f64 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify118.0ms (3%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5001	7080

prune334.0ms (8.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Error

Counts

198 → 3

Compiler

Compiled 5513 to 4015 computations (27.2% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)))
4.9b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2))))
7.8b	(+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
15.9b	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2)))) (+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))

rewrite130.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`frac-add_binary64_22933`
45×	`pow1_binary64_22986`
42×	`frac-times_binary64_22935`
41×	`flip3-+_binary64_22928` `flip-+_binary64_22899`
32×	`associate-*r/_binary64_22867`
30×	`add-cbrt-cube_binary64_22961` `add-exp-log_binary64_22963`
25×	`flip--_binary64_22900` `flip3--_binary64_22929`
18×	`pow-prod-down_binary64_22996`
13×	`associate-*l/_binary64_22868` `prod-exp_binary64_22974` `cbrt-unprod_binary64_22958`
11×	`add-sqr-sqrt_binary64_22947`
10×	`associate-l_binary64_22866`
9×	`add-cube-cbrt_binary64_22960` `add-log-exp_binary64_22964` `*-un-lft-identity_binary64_22925`
6×	`times-frac_binary64_22931`
4×	`cbrt-undiv_binary64_22959` `pow-prod-up_binary64_22995` `associate-r_binary64_22865` `associate-/r/_binary64_22871` `div-exp_binary64_22976` `pow-sqr_binary64_22898`
3×	`associate-/r*_binary64_22869`
2×	`pow-plus_binary64_22988` `*-commutative_binary64_22856` `associate-+l+_binary64_22858` `div-inv_binary64_22922` `associate-+r+_binary64_22857` `associate-/l/_binary64_22872` `distribute-lft-in_binary64_22874` `distribute-rgt-in_binary64_22875` `sum-log_binary64_23016`
1×	`diff-log_binary64_23017` `frac-2neg_binary64_22936` `sub-neg_binary64_22918` `pow2_binary64_23006` `clear-num_binary64_22924` `associate-+r-_binary64_22859` `swap-sqr_binary64_22892` `cancel-sign-sub-inv_binary64_22891` `+-commutative_binary64_22855` `unswap-sqr_binary64_22893` `associate-/l*_binary64_22870`

Counts

4 → 159

Calls

4 calls:

41.0ms	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2)))) (+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
22.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2))))
21.0ms	(+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
9.0ms	(.f64 (.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)))

series153.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 (/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2)))) (+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))))
40.0ms	(+.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (-.f64 (.f64 (.f64 4 (sqrt.f64 x)) (.f64 4 (sqrt.f64 x))) (.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
30.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (pow.f64 (+.f64 x 1) 3) (.f64 64 (pow.f64 x 3/2))))
15.0ms	(.f64 (.f64 4 (sqrt.f64 x)) (*.f64 4 (sqrt.f64 x)))

simplify135.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	10375
1	4968	10375

prune689.0ms (17.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	3	174

Error

Counts

174 → 3

Compiler

Compiled 11361 to 8254 computations (27.3% saved)

regimes82.0ms (2.1%)

Accuracy

Total 0.0b remaining (97.8%)

Threshold costs 0.0b (97.8%)

Compiler

Compiled 938 to 774 computations (17.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample850.0ms (21.2%)

Algorithm

1×

intervals

Results

324.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 429 to 356 computations (17% saved)

Details

analyze386.0ms (9.6%)

sample15.0ms (0.4%)

simplify289.0ms (7.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite35.0ms (0.9%)

series70.0ms (1.7%)

simplify63.0ms (1.6%)

prune95.0ms (2.4%)

localize9.0ms (0.2%)

rewrite47.0ms (1.2%)

series83.0ms (2.1%)

simplify80.0ms (2%)

prune159.0ms (4%)

localize9.0ms (0.2%)

rewrite56.0ms (1.4%)

series77.0ms (1.9%)

simplify118.0ms (3%)

prune334.0ms (8.3%)

localize21.0ms (0.5%)

rewrite130.0ms (3.3%)

series153.0ms (3.8%)

simplify135.0ms (3.4%)

prune689.0ms (17.2%)

regimes82.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample850.0ms (21.2%)

Profiling