Details

analyze1.2s (19.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune3.0ms (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

Merged error: 12.4b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
3.5b	(/.f64 (*.f64 y z) t)
6.1b	(/.f64 (*.f64 y b) t)
8.1b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_21220`
26×	`times-frac_binary64_21226`
22×	`distribute-lft-out_binary64_21171`
19×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242`
16×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
11×	`associate-/r*_binary64_21164`
6×	`add-log-exp_binary64_21259` `associate-/l*_binary64_21165`
5×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
4×	`pow1_binary64_21281` `flip3-+_binary64_21223` `associate-/r/_binary64_21166` `flip-+_binary64_21194`
3×	`div-inv_binary64_21217` `clear-num_binary64_21219` `frac-2neg_binary64_21231`
2×	`associate-/l/_binary64_21167` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `frac-add_binary64_21228`
1×	`sum-log_binary64_21311` `+-commutative_binary64_21150`

Counts

4 → 101

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
4.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(/.f64 (*.f64 y z) t)

series218.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
29.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
20.0ms	(/.f64 (*.f64 y z) t)
19.0ms	(/.f64 (*.f64 y b) t)

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5279	2363

prune143.0ms (2.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	98	15	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	15	114

Merged error: 7.7b

Counts

114 → 15

Compiler

Compiled 3043 to 1079 computations (64.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
3.5b	(/.f64 (*.f64 y z) t)
5.4b	(*.f64 y (/.f64 b t))
8.1b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 y (/.f64 b t))))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_21220`
28×	`add-sqr-sqrt_binary64_21242`
25×	`times-frac_binary64_21226`
23×	`add-cube-cbrt_binary64_21255`
16×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
13×	`associate-r_binary64_21160`
6×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `associate-/r*_binary64_21164`
5×	`distribute-lft-out_binary64_21171` `associate-/l*_binary64_21165`
4×	`div-exp_binary64_21271` `flip3-+_binary64_21223` `cbrt-undiv_binary64_21254` `associate-/r/_binary64_21166` `flip-+_binary64_21194`
3×	`associate-r/_binary64_21162` `prod-exp_binary64_21269` `div-inv_binary64_21217` `cbrt-unprod_binary64_21253` `associate-l*_binary64_21161`
2×	`associate-/l/_binary64_21167` `clear-num_binary64_21219` `frac-add_binary64_21228` `frac-2neg_binary64_21231` `unswap-sqr_binary64_21188`
1×	`*-commutative_binary64_21151` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `+-commutative_binary64_21150`

Counts

4 → 102

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 y (/.f64 b t))))
7.0ms	(*.f64 y (/.f64 b t))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
5.0ms	(/.f64 (*.f64 y z) t)

series222.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

153.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 y (/.f64 b t))))
29.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
21.0ms	(/.f64 (*.f64 y z) t)
19.0ms	(*.f64 y (/.f64 b t))

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5007	2184

prune114.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	114	15	129

Merged error: 7.2b

Counts

129 → 15

Compiler

Compiled 3095 to 1110 computations (64.1% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
3.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
5.4b	(*.f64 y (/.f64 b t))
8.1b	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_21242`
47×	`times-frac_binary64_21226`
36×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
35×	`associate-r_binary64_21160`
32×	`add-exp-log_binary64_21258`
25×	`add-cbrt-cube_binary64_21256`
14×	`cbrt-prod_binary64_21251`
10×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `associate-l_binary64_21161`
9×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
8×	`pow1_binary64_21281` `unswap-sqr_binary64_21188`
4×	`add-log-exp_binary64_21259` `associate-*r/_binary64_21162` `div-inv_binary64_21217` `associate-/r/_binary64_21166`
3×	`flip3-+_binary64_21223` `associate-/r_binary64_21164` `associate-/l_binary64_21165` `flip-+_binary64_21194`
2×	`associate-/l/_binary64_21167` `*-commutative_binary64_21151` `pow-prod-down_binary64_21291` `frac-add_binary64_21228`
1×	`frac-times_binary64_21230` `associate-*l/_binary64_21163` `pow1/3_binary64_21302` `clear-num_binary64_21219` `frac-2neg_binary64_21231`

Counts

4 → 135

Calls

4 calls:

16.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
11.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
7.0ms	(*.f64 y (/.f64 b t))
1.0ms	(cbrt.f64 t)

series537.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

373.0ms	(/.f64 (+.f64 x (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))) (+.f64 (+.f64 a 1) (*.f64 y (/.f64 b t))))
80.0ms	(cbrt.f64 t)
66.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
18.0ms	(*.f64 y (/.f64 b t))

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4982	2619
1	4982	2619

prune164.0ms (2.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	146	16	162

Merged error: 7.2b

Counts

162 → 16

Compiler

Compiled 4454 to 1526 computations (65.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
3.5b	(/.f64 (*.f64 y z) t)
5.2b	(/.f64 y (/.f64 t b))
8.1b	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`times-frac_binary64_21226` `*-un-lft-identity_binary64_21220`
59×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242`
22×	`distribute-lft-out_binary64_21171`
21×	`associate-/r*_binary64_21164`
16×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
8×	`associate-/l*_binary64_21165`
7×	`div-inv_binary64_21217`
6×	`div-exp_binary64_21271` `add-log-exp_binary64_21259` `cbrt-undiv_binary64_21254`
5×	`associate-/r/_binary64_21166`
4×	`pow1_binary64_21281` `flip3-+_binary64_21223` `flip-+_binary64_21194`
3×	`clear-num_binary64_21219` `frac-2neg_binary64_21231`
2×	`associate-/l/_binary64_21167` `frac-add_binary64_21228`
1×	`prod-exp_binary64_21269` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `+-commutative_binary64_21150`

Counts

4 → 150

Calls

4 calls:

25.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))
9.0ms	(/.f64 y (/.f64 t b))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
4.0ms	(/.f64 (*.f64 y z) t)

series218.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))
30.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
22.0ms	(/.f64 y (/.f64 t b))
18.0ms	(/.f64 (*.f64 y z) t)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4982	3346
1	4982	3346

prune156.0ms (2.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	161	17	178

Merged error: 6.2b

Counts

178 → 17

Compiler

Compiled 3999 to 1152 computations (71.2% saved)

regimes883.0ms (14.3%)

Compiler: Compiled 9684 to 7135 computations (26.3% saved)

bsearch56.0ms (0.9%)

Steps

Iters	Range		Point
7	3.280209225370034e+41	3.925053175412244e+43	1.0329017281745015e+43
10	-1.792878699298607e+101	-3.277253900032897e+87	-2.3732692961566745e+89

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	76
1	46	76

end0.0ms (0%)

sample1.6s (26%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
15.0ms	297×	body	128	invalid

Compiler

Compiled 1302 to 949 computations (27.1% saved)

Details

analyze1.2s (19.8%)

sample24.0ms (0.4%)

simplify96.0ms (1.6%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite36.0ms (0.6%)

series218.0ms (3.5%)

simplify47.0ms (0.8%)

prune143.0ms (2.3%)

localize12.0ms (0.2%)

rewrite41.0ms (0.7%)

series222.0ms (3.6%)

simplify75.0ms (1.2%)

prune114.0ms (1.8%)

localize18.0ms (0.3%)

rewrite50.0ms (0.8%)

series537.0ms (8.7%)

simplify80.0ms (1.3%)

prune164.0ms (2.7%)

localize12.0ms (0.2%)

rewrite57.0ms (0.9%)

series218.0ms (3.5%)

simplify78.0ms (1.3%)

prune156.0ms (2.5%)

regimes883.0ms (14.3%)

bsearch56.0ms (0.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (26%)

Profiling