Details

analyze1.3s (18.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	400
1	382	400
0	6	6
1	6	6

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	13×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

prune5.0ms (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

21.6b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y z) t))
5.2b	(/.f64 (*.f64 y z) t)
6.1b	(/.f64 (*.f64 y b) t)
16.3b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_18833`
26×	`times-frac_binary64_18839`
22×	`distribute-lft-out_binary64_18784`
19×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
16×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
11×	`associate-/r*_binary64_18777`
6×	`associate-/l*_binary64_18778` `add-log-exp_binary64_18872`
5×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
4×	`pow1_binary64_18894` `flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-/r/_binary64_18779`
3×	`div-inv_binary64_18830` `clear-num_binary64_18832` `frac-2neg_binary64_18844`
2×	`cbrt-unprod_binary64_18866` `frac-add_binary64_18841` `prod-exp_binary64_18882` `associate-/l/_binary64_18780`
1×	`+-commutative_binary64_18763` `sum-log_binary64_18924`

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

series203.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
31.0ms	(+.f64 x (/.f64 (*.f64 y z) t))
22.0ms	(/.f64 (*.f64 y b) t)
18.0ms	(/.f64 (*.f64 y z) t)

simplify47.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5279	2363

prune146.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	11	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	11	114

Error

15.0b

Counts

114 → 11

Compiler

Compiled 2954 to 1012 computations (65.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t z)))
5.7b	(/.f64 y (/.f64 t z))
6.1b	(/.f64 (*.f64 y b) t)
16.3b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite62.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_18833` `times-frac_binary64_18839`
59×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
22×	`distribute-lft-out_binary64_18784`
21×	`associate-/r*_binary64_18777`
16×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
8×	`associate-/l*_binary64_18778`
7×	`div-inv_binary64_18830`
6×	`add-log-exp_binary64_18872` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
5×	`associate-/r/_binary64_18779`
4×	`pow1_binary64_18894` `flip3-+_binary64_18836` `flip-+_binary64_18807`
3×	`clear-num_binary64_18832` `frac-2neg_binary64_18844`
2×	`frac-add_binary64_18841` `associate-/l/_binary64_18780`
1×	`+-commutative_binary64_18763` `sum-log_binary64_18924` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882`

Counts

4 → 150

Calls

4 calls:

22.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
16.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
6.0ms	(/.f64 y (/.f64 t z))
4.0ms	(/.f64 (*.f64 y b) t)

series546.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

257.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
248.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
21.0ms	(/.f64 y (/.f64 t z))
20.0ms	(/.f64 (*.f64 y b) t)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5202	3340

prune159.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	160	13	173

Error

13.4b

Counts

173 → 13

Compiler

Compiled 4263 to 1406 computations (67% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
3.5b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
5.7b	(/.f64 y (/.f64 t z))
16.3b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

105×	`times-frac_binary64_18839`
101×	`*-un-lft-identity_binary64_18833`
68×	`add-sqr-sqrt_binary64_18855`
64×	`add-cube-cbrt_binary64_18868`
34×	`add-exp-log_binary64_18871`
26×	`add-cbrt-cube_binary64_18869`
24×	`associate-/r*_binary64_18777`
21×	`distribute-lft-out_binary64_18784`
12×	`cbrt-undiv_binary64_18867` `div-exp_binary64_18884`
8×	`associate-/l*_binary64_18778` `div-inv_binary64_18830` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882`
7×	`associate-l_binary64_18774`
6×	`cbrt-prod_binary64_18864` `pow1_binary64_18894`
5×	`associate-/r/_binary64_18779`
4×	`add-log-exp_binary64_18872`
3×	`clear-num_binary64_18832` `associate-r_binary64_18773` `flip3-+_binary64_18836` `frac-2neg_binary64_18844` `flip-+_binary64_18807` `associate-/l/_binary64_18780`
2×	`frac-add_binary64_18841` `associate-*l/_binary64_18776` `unswap-sqr_binary64_18801`
1×	`pow-prod-down_binary64_18904` `*-commutative_binary64_18764`

Counts

4 → 177

Calls

4 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))
10.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
9.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
6.0ms	(/.f64 y (/.f64 t z))

series698.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

493.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))))
112.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b)
70.0ms	(/.f64 (.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) b) (cbrt.f64 t))
24.0ms	(/.f64 y (/.f64 t z))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4971	3789
1	4971	3789

prune210.0ms (3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	188	14	202

Error

13.4b

Counts

202 → 14

Compiler

Compiled 5729 to 1830 computations (68.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t z)))
4.5b	(*.f64 (/.f64 y t) b)
5.7b	(/.f64 y (/.f64 t z))
16.3b	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 (/.f64 y t) b)))

rewrite61.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_18839`
73×	`*-un-lft-identity_binary64_18833`
68×	`add-sqr-sqrt_binary64_18855`
63×	`add-cube-cbrt_binary64_18868`
16×	`add-cbrt-cube_binary64_18869` `associate-/r*_binary64_18777` `add-exp-log_binary64_18871`
13×	`associate-l_binary64_18774`
7×	`associate-/l*_binary64_18778` `div-inv_binary64_18830`
6×	`pow1_binary64_18894` `add-log-exp_binary64_18872`
5×	`distribute-lft-out_binary64_18784` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884` `associate-/r/_binary64_18779`
4×	`flip3-+_binary64_18836` `flip-+_binary64_18807`
3×	`associate-r_binary64_18773` `associate-*l/_binary64_18776`
2×	`cbrt-unprod_binary64_18866` `clear-num_binary64_18832` `frac-add_binary64_18841` `frac-2neg_binary64_18844` `prod-exp_binary64_18882` `associate-/l/_binary64_18780` `unswap-sqr_binary64_18801`
1×	`+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `*-commutative_binary64_18764` `sum-log_binary64_18924`

Counts

4 → 151

Calls

4 calls:

21.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 (/.f64 y t) b)))
13.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
7.0ms	(*.f64 (/.f64 y t) b)
6.0ms	(/.f64 y (/.f64 t z))

series328.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(/.f64 (+.f64 x (/.f64 y (/.f64 t z))) (+.f64 (+.f64 a 1) (*.f64 (/.f64 y t) b)))
37.0ms	(+.f64 x (/.f64 y (/.f64 t z)))
20.0ms	(*.f64 (/.f64 y t) b)
20.0ms	(/.f64 y (/.f64 t z))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5100	3149

prune148.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	166	11	177

Error

13.4b

Counts

177 → 11

Compiler

Compiled 4046 to 1226 computations (69.7% saved)

regimes933.0ms (13.1%)

Accuracy

Total 3.8b remaining (26.7%)

Threshold costs 0b (0%)

Compiler

Compiled 11449 to 8558 computations (25.3% saved)

bsearch52.0ms (0.7%)

Steps

Iters	Range		Point
8	1.0142484551519177e+55	1.510234337178024e+59	6.268929585310267e+55
9	-1.7356439960359634e-239	-4.4728090671495093e-246	-1.7151602625989242e-239

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	45	87
1	45	87

end0.0ms (0%)

sample1.8s (25.2%)

Algorithm

1×

intervals

Results

424.0ms	8000×	body	128	valid
12.0ms	245×	body	128	invalid

Compiler

Compiled 1534 to 1131 computations (26.3% saved)

Details

analyze1.3s (18.5%)

sample25.0ms (0.4%)

simplify8.0ms (0.1%)

prune5.0ms (0.1%)

localize15.0ms (0.2%)

rewrite40.0ms (0.6%)

series203.0ms (2.9%)

simplify47.0ms (0.7%)

prune146.0ms (2.1%)

localize12.0ms (0.2%)

rewrite62.0ms (0.9%)

series546.0ms (7.7%)

simplify56.0ms (0.8%)

prune159.0ms (2.2%)

localize16.0ms (0.2%)

rewrite72.0ms (1%)

series698.0ms (9.8%)

simplify88.0ms (1.2%)

prune210.0ms (3%)

localize15.0ms (0.2%)

rewrite61.0ms (0.9%)

series328.0ms (4.6%)

simplify59.0ms (0.8%)

prune148.0ms (2.1%)

regimes933.0ms (13.1%)

bsearch52.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (25.2%)

Profiling