Details

analyze1.3s (21.4%)

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)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	11×	body	80	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	49	25
1	49	25

prune7.0ms (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

Merged error: 15.8b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
5.0b	(/.f64 (*.f64 y z) t)
6.6b	(/.f64 (*.f64 y b) t)
10.6b	(/.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

61×	`*-un-lft-identity_binary64`
26×	`times-frac_binary64`
24×	`distribute-lft-out_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r*_binary64`
9×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`flip3-+_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip-+_binary64`
4×	`pow1_binary64` `frac-add_binary64` `associate-/r/_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

14.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
8.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
6.0ms	(/.f64 (*.f64 y b) t)
5.0ms	(/.f64 (*.f64 y z) t)

series67.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
9.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
9.0ms	(/.f64 (*.f64 y z) t)
6.0ms	(/.f64 (*.f64 y b) t)

simplify106.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4988	2528
1	4988	2528

prune142.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Merged error: 10.6b

Counts

119 → 11

Compiler

Compiled 3028 to 1056 computations (65.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) (/.f64 1 t)))
5.0b	(.f64 (.f64 y z) (/.f64 1 t))
6.6b	(/.f64 (*.f64 y b) t)
10.6b	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
33×	`add-exp-log_binary64`
27×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
13×	`associate-r_binary64` `prod-exp_binary64`
12×	`distribute-lft-out_binary64`
9×	`pow1_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-unprod_binary64` `div-exp_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `un-div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

13.0ms	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
8.0ms	(.f64 (.f64 y z) (/.f64 1 t))
5.0ms	(/.f64 (*.f64 y b) t)
4.0ms	(+.f64 x (.f64 (.f64 y z) (/.f64 1 t)))

series65.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
9.0ms	(+.f64 x (.f64 (.f64 y z) (/.f64 1 t)))
6.0ms	(/.f64 (*.f64 y b) t)
5.0ms	(.f64 (.f64 y z) (/.f64 1 t))

simplify107.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4975	2305
1	4975	2305

prune109.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	123	11	134

Merged error: 10.6b

Counts

134 → 11

Compiler

Compiled 3167 to 1217 computations (61.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 t (*.f64 y z)))
4.9b	(/.f64 t (*.f64 y z))
6.6b	(/.f64 (*.f64 y b) t)
10.6b	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64`
64×	`times-frac_binary64`
37×	`add-exp-log_binary64`
36×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
30×	`distribute-lft-out_binary64`
25×	`add-cbrt-cube_binary64`
17×	`div-exp_binary64`
16×	`associate-/r*_binary64`
14×	`div-inv_binary64`
12×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
5×	`pow1_binary64` `associate-/r/_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
3×	`flip3-+_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `frac-add_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

4 → 151

Calls

4 calls:

19.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
7.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))
5.0ms	(/.f64 (*.f64 y b) t)
5.0ms	(/.f64 t (*.f64 y z))

series69.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 t (.f64 y z)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
6.0ms	(/.f64 1 (/.f64 t (*.f64 y z)))
5.0ms	(/.f64 (*.f64 y b) t)
5.0ms	(/.f64 t (*.f64 y z))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4979	3081
1	4979	3081

prune130.0ms (2.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	163	11	174

Merged error: 10.6b

Counts

174 → 11

Compiler

Compiled 4107 to 1541 computations (62.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (/.f64 t y) z))
5.5b	(/.f64 (/.f64 t y) z)
6.6b	(/.f64 (*.f64 y b) t)
10.6b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (/.f64 t y) z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite95.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

496×	`times-frac_binary64`
292×	`*-un-lft-identity_binary64`
244×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
54×	`associate-/r*_binary64`
37×	`add-exp-log_binary64`
30×	`distribute-lft-out_binary64` `div-inv_binary64`
25×	`add-cbrt-cube_binary64`
22×	`associate-/l*_binary64`
21×	`div-exp_binary64`
12×	`cbrt-undiv_binary64`
5×	`pow1_binary64` `associate-/r/_binary64`
4×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
3×	`flip3-+_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
2×	`frac-add_binary64`
1×	`cbrt-unprod_binary64` `inv-pow_binary64` `prod-exp_binary64` `pow-flip_binary64`

Counts

4 → 344

Calls

4 calls:

44.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (/.f64 t y) z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
13.0ms	(/.f64 1 (/.f64 (/.f64 t y) z))
6.0ms	(/.f64 (/.f64 t y) z)
6.0ms	(/.f64 (*.f64 y b) t)

series68.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (/.f64 t y) z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
6.0ms	(/.f64 1 (/.f64 (/.f64 t y) z))
5.0ms	(/.f64 (/.f64 t y) z)
5.0ms	(/.f64 (*.f64 y b) t)

simplify165.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

356 → 356

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4995	7660
1	4995	7660

prune261.0ms (4.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	352	4	356
Fresh	2	6	8
Picked	0	1	1
Done	1	1	2
Total	355	12	367

Merged error: 9.8b

Counts

367 → 12

Compiler

Compiled 9733 to 3144 computations (67.7% saved)

regimes683.0ms (11.7%)

Compiler: Compiled 1998 to 1657 computations (17.1% saved)

bsearch41.0ms (0.7%)

Steps

Iters	Range		Point
10	8.473209506240271e-130	2.1171964973072748e-111	2.0277050089477033e-113
5	-4.355076995372648e-192	-1.2593331335702322e-192	-3.18900929198071e-192

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	112	69
1	112	69

end0.0ms (0%)

sample2.1s (36.8%)

Algorithm

1×

intervals

Results

440.0ms	8000×	body	80	valid
14.0ms	276×	body	80	invalid

Compiler

Compiled 377 to 291 computations (22.8% saved)

Details

analyze1.3s (21.4%)

sample26.0ms (0.5%)

simplify15.0ms (0.3%)

prune7.0ms (0.1%)

localize18.0ms (0.3%)

rewrite36.0ms (0.6%)

series67.0ms (1.1%)

simplify106.0ms (1.8%)

prune142.0ms (2.4%)

localize13.0ms (0.2%)

rewrite34.0ms (0.6%)

series65.0ms (1.1%)

simplify107.0ms (1.8%)

prune109.0ms (1.9%)

localize13.0ms (0.2%)

rewrite41.0ms (0.7%)

series69.0ms (1.2%)

simplify111.0ms (1.9%)

prune130.0ms (2.2%)

localize14.0ms (0.2%)

rewrite95.0ms (1.6%)

series68.0ms (1.2%)

simplify165.0ms (2.8%)

prune261.0ms (4.5%)

regimes683.0ms (11.7%)

bsearch41.0ms (0.7%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.1s (36.8%)

Profiling