Details

analyze261.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample36.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	285×	pre	128	true
8.0ms	172×	body	128	valid
8.0ms	84×	body	256	valid
1.0ms	29×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	927	24
1	927	24

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 41.6b

Counts

2 → 1

Compiler

Compiled 65 to 53 computations (18.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
37.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `associate-/l*_binary64` `times-frac_binary64` `sqrt-prod_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`
3×	`distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `sqrt-div_binary64`
1×	`associate-/r*_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 74

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series555.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
145.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
65.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4883	1979
1	4883	1979

prune171.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	6	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Merged error: 0.2b

Counts

87 → 6

Compiler

Compiled 3346 to 2172 computations (35.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
0.3b	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`associate-/l*_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `distribute-lft-out_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cancel-sign-sub-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 99

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
13.0ms	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series923.0ms (14.1%)

Counts

4 → 12

Calls

4 calls:

396.0ms	(/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))))
328.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (.f64 a 2))
132.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
67.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4963	3037
1	4963	3037

prune609.0ms (9.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Merged error: 0b

Counts

117 → 9

Compiler

Compiled 13102 to 8950 computations (31.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
0.2b	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64`
4×	`associate-/r*_binary64`
3×	`associate-/l*_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))

series682.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

345.0ms	(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))))
135.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
132.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))))
69.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 4)))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5109	1969

prune288.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0b

Counts

93 → 8

Compiler

Compiled 6121 to 4185 computations (31.6% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
0.3b	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
0.4b	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
0.7b	(pow.f64 (.f64 c (.f64 a 4)) 3)

rewrite75.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64` `times-frac_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`pow1_binary64` `difference-of-squares_binary64`
22×	`add-cube-cbrt_binary64`
21×	`sqr-pow_binary64`
12×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
10×	`associate-/l*_binary64`
9×	`unpow-prod-down_binary64`
6×	`associate-*r/_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-/r*_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `flip-+_binary64` `pow-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `cube-prod_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 134

Calls

4 calls:

19.0ms	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
13.0ms	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
10.0ms	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
7.0ms	(pow.f64 (.f64 c (.f64 a 4)) 3)

series543.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

214.0ms	(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))))
125.0ms	(.f64 c (.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (.f64 a 4)))))
112.0ms	(.f64 (.f64 a 4) (+.f64 (.f64 b b) (.f64 c (*.f64 a 4))))
91.0ms	(pow.f64 (.f64 c (.f64 a 4)) 3)

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5009	5901

prune400.0ms (6.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	146	8	154

Merged error: 0b

Counts

154 → 8

Compiler

Compiled 7676 to 5231 computations (31.9% saved)

regimes75.0ms (1.1%)

Compiler: Compiled 828 to 612 computations (26.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	24
1	63	24

end0.0ms (0%)

sample1.3s (20.3%)

Algorithm

1×

intervals

Results

284.0ms	2971×	body	256	valid
280.0ms	8871×	pre	128	true
250.0ms	5028×	body	128	valid
40.0ms	871×	body	128	nan
0.0ms	1×	body	512	valid

Compiler

Compiled 320 to 238 computations (25.6% saved)

Details

analyze261.0ms (4%)

sample36.0ms (0.6%)

simplify76.0ms (1.2%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite41.0ms (0.6%)

series555.0ms (8.5%)

simplify86.0ms (1.3%)

prune171.0ms (2.6%)

localize14.0ms (0.2%)

rewrite59.0ms (0.9%)

series923.0ms (14.1%)

simplify78.0ms (1.2%)

prune609.0ms (9.3%)

localize12.0ms (0.2%)

rewrite36.0ms (0.5%)

series682.0ms (10.4%)

simplify73.0ms (1.1%)

prune288.0ms (4.4%)

localize24.0ms (0.4%)

rewrite75.0ms (1.1%)

series543.0ms (8.3%)

simplify99.0ms (1.5%)

prune400.0ms (6.1%)

regimes75.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (20.3%)

Profiling