Details

analyze1.2s (19.5%)

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)

sample25.0ms (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)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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_18492`
26×	`times-frac_binary64_18498`
22×	`distribute-lft-out_binary64_18443`
19×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527`
16×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
11×	`associate-/r*_binary64_18436`
6×	`associate-/l*_binary64_18437` `add-log-exp_binary64_18531`
5×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
4×	`pow1_binary64_18553` `flip-+_binary64_18466` `associate-/r/_binary64_18438` `flip3-+_binary64_18495`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489`
2×	`associate-/l/_binary64_18439` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `frac-add_binary64_18500`
1×	`+-commutative_binary64_18422` `sum-log_binary64_18583`

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))
5.0ms	(/.f64 (*.f64 y z) t)
5.0ms	(/.f64 (*.f64 y b) t)

series218.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
33.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
19.0ms	(/.f64 (*.f64 y b) t)
19.0ms	(/.f64 (*.f64 y z) t)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5279	2363

prune145.0ms (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))))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64_18492`
28×	`add-sqr-sqrt_binary64_18514`
25×	`times-frac_binary64_18498`
23×	`add-cube-cbrt_binary64_18527`
16×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
13×	`associate-r_binary64_18432`
6×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `associate-/r*_binary64_18436`
5×	`distribute-lft-out_binary64_18443` `associate-/l*_binary64_18437`
4×	`div-exp_binary64_18543` `flip-+_binary64_18466` `associate-/r/_binary64_18438` `cbrt-undiv_binary64_18526` `flip3-+_binary64_18495`
3×	`associate-r/_binary64_18434` `associate-l*_binary64_18433` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `div-inv_binary64_18489`
2×	`associate-/l/_binary64_18439` `unswap-sqr_binary64_18460` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `frac-add_binary64_18500`
1×	`+-commutative_binary64_18422` `*-commutative_binary64_18423` `sum-log_binary64_18583` `pow-prod-down_binary64_18563`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/.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))
4.0ms	(/.f64 (*.f64 y z) t)

series217.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (.f64 y (/.f64 b t))))
30.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
21.0ms	(/.f64 (*.f64 y z) t)
19.0ms	(*.f64 y (/.f64 b t))

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5007	2184

prune117.0ms (1.9%)

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)

localize227.0ms (3.6%)

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_18514`
47×	`times-frac_binary64_18498`
36×	`add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
35×	`associate-r_binary64_18432`
32×	`add-exp-log_binary64_18530`
25×	`add-cbrt-cube_binary64_18528`
14×	`cbrt-prod_binary64_18523`
10×	`associate-l_binary64_18433` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
9×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
8×	`pow1_binary64_18553` `unswap-sqr_binary64_18460`
4×	`associate-*r/_binary64_18434` `associate-/r/_binary64_18438` `add-log-exp_binary64_18531` `div-inv_binary64_18489`
3×	`flip-+_binary64_18466` `associate-/l_binary64_18437` `flip3-+_binary64_18495` `associate-/r_binary64_18436`
2×	`associate-/l/_binary64_18439` `*-commutative_binary64_18423` `pow-prod-down_binary64_18563` `frac-add_binary64_18500`
1×	`pow1/3_binary64_18574` `frac-2neg_binary64_18503` `frac-times_binary64_18502` `clear-num_binary64_18491` `associate-*l/_binary64_18435`

Counts

4 → 135

Calls

4 calls:

16.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
10.0ms	(/.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)

series531.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

372.0ms	(/.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))))
78.0ms	(cbrt.f64 t)
62.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
19.0ms	(*.f64 y (/.f64 b t))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4982	2619
1	4982	2619

prune160.0ms (2.5%)

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))))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`times-frac_binary64_18498` `*-un-lft-identity_binary64_18492`
59×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527`
22×	`distribute-lft-out_binary64_18443`
21×	`associate-/r*_binary64_18436`
16×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`associate-/l*_binary64_18437`
7×	`div-inv_binary64_18489`
6×	`div-exp_binary64_18543` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526`
5×	`associate-/r/_binary64_18438`
4×	`pow1_binary64_18553` `flip-+_binary64_18466` `flip3-+_binary64_18495`
3×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
2×	`associate-/l/_binary64_18439` `frac-add_binary64_18500`
1×	`+-commutative_binary64_18422` `sum-log_binary64_18583` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`

Counts

4 → 150

Calls

4 calls:

26.0ms	(/.f64 (+.f64 x (/.f64 (*.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 y (/.f64 t b))))
6.0ms	(/.f64 y (/.f64 t b))
5.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
4.0ms	(/.f64 (*.f64 y z) t)

series215.0ms (3.4%)

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

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4982	3346
1	4982	3346

prune147.0ms (2.3%)

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)

regimes834.0ms (13.2%)

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

bsearch52.0ms (0.8%)

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 (25.5%)

Algorithm

1×

intervals

Results

425.0ms	8000×	body	128	valid
15.0ms	297×	body	128	invalid

Compiler

Compiled 1302 to 949 computations (27.1% saved)

Details

analyze1.2s (19.5%)

sample25.0ms (0.4%)

simplify94.0ms (1.5%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite36.0ms (0.6%)

series218.0ms (3.4%)

simplify45.0ms (0.7%)

prune145.0ms (2.3%)

localize12.0ms (0.2%)

rewrite36.0ms (0.6%)

series217.0ms (3.4%)

simplify79.0ms (1.2%)

prune117.0ms (1.9%)

localize227.0ms (3.6%)

rewrite50.0ms (0.8%)

series531.0ms (8.4%)

simplify83.0ms (1.3%)

prune160.0ms (2.5%)

localize12.0ms (0.2%)

rewrite55.0ms (0.9%)

series215.0ms (3.4%)

simplify84.0ms (1.3%)

prune147.0ms (2.3%)

regimes834.0ms (13.2%)

bsearch52.0ms (0.8%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (25.5%)

Profiling