Details

analyze1.5s (12.9%)

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 (0.2%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify103.0ms (0.9%)

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: 17.0b

Counts

2 → 1

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.6b	(/.f64 (*.f64 y z) t)
6.3b	(/.f64 (*.f64 y b) t)
12.6b	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64_20879`
26×	`times-frac_binary64_20885`
24×	`distribute-lft-out_binary64_20830`
19×	`add-sqr-sqrt_binary64_20901` `add-cube-cbrt_binary64_20914`
16×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
11×	`associate-/r*_binary64_20823`
9×	`add-log-exp_binary64_20918`
6×	`associate-/l*_binary64_20824`
5×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `flip3-+_binary64_20882` `flip-+_binary64_20853`
4×	`associate-/r/_binary64_20825` `frac-add_binary64_20887` `pow1_binary64_20940`
3×	`frac-2neg_binary64_20890` `sum-log_binary64_20970` `div-inv_binary64_20876` `clear-num_binary64_20878`
2×	`associate-/l/_binary64_20826` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
1×	`+-commutative_binary64_20809` `associate-+l+_binary64_20812`

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

series1.1s (9.1%)

Counts

4 → 79

Calls

4 calls:

694.0ms	(/.f64 (+.f64 x (/.f64 (.f64 y z) t)) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
176.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
104.0ms	(/.f64 (*.f64 y b) t)
100.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 3731 to 2948 computations (21% saved)

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5152	4253

prune225.0ms (1.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	168	17	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	17	186

Merged error: 2.6b

Counts

186 → 17

Compiler

Compiled 4724 to 1646 computations (65.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.6b	(.f64 (.f64 y z) (/.f64 1 t))
6.3b	(/.f64 (*.f64 y b) t)
12.6b	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_20879`
33×	`add-exp-log_binary64_20917`
27×	`times-frac_binary64_20885`
23×	`add-sqr-sqrt_binary64_20901` `add-cbrt-cube_binary64_20915` `add-cube-cbrt_binary64_20914`
15×	`distribute-lft-out_binary64_20830`
13×	`associate-r_binary64_20819` `prod-exp_binary64_20928`
9×	`pow1_binary64_20940` `add-log-exp_binary64_20918`
8×	`associate-/r*_binary64_20823`
7×	`div-exp_binary64_20930` `cbrt-unprod_binary64_20912`
5×	`cbrt-undiv_binary64_20913` `flip3-+_binary64_20882` `flip-+_binary64_20853`
4×	`associate-/l*_binary64_20824` `associate-/r/_binary64_20825` `frac-add_binary64_20887`
3×	`pow-prod-down_binary64_20950` `sum-log_binary64_20970` `div-inv_binary64_20876`
2×	`associate-/l/_binary64_20826` `rec-exp_binary64_20929` `frac-2neg_binary64_20890` `1-exp_binary64_20923` `clear-num_binary64_20878`
1×	`associate-l_binary64_20820` `un-div-inv_binary64_20877` `+-commutative_binary64_20809` `associate-+l+_binary64_20812` `-commutative_binary64_20810` `associate-r/_binary64_20821`

Counts

4 → 117

Calls

4 calls:

12.0ms	(/.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))
8.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
4.0ms	(/.f64 (*.f64 y b) t)

series1.1s (9.7%)

Counts

4 → 79

Calls

4 calls:

747.0ms	(/.f64 (+.f64 x (.f64 (.f64 y z) (/.f64 1 t))) (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
180.0ms	(+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))
110.0ms	(/.f64 (*.f64 y b) t)
106.0ms	(.f64 (.f64 y z) (/.f64 1 t))

Compiler

Compiled 3839 to 3056 computations (20.4% saved)

simplify130.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5004	4205

prune200.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	196	17	213

Merged error: 2.6b

Counts

213 → 17

Compiler

Compiled 5105 to 2058 computations (59.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
4.6b	(/.f64 (*.f64 y z) t)
6.3b	(/.f64 (*.f64 y b) t)
12.3b	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_20879`
38×	`times-frac_binary64_20885`
35×	`add-sqr-sqrt_binary64_20901`
28×	`add-cube-cbrt_binary64_20914`
27×	`add-exp-log_binary64_20917`
23×	`associate-r_binary64_20819`
22×	`distribute-lft-out_binary64_20830`
21×	`add-cbrt-cube_binary64_20915`
11×	`associate-/r*_binary64_20823`
8×	`div-exp_binary64_20930` `associate-/r/_binary64_20825`
7×	`pow1_binary64_20940`
6×	`cbrt-undiv_binary64_20913` `flip3-+_binary64_20882` `flip-+_binary64_20853` `prod-exp_binary64_20928`
5×	`associate-/l*_binary64_20824`
4×	`associate-l_binary64_20820` `div-inv_binary64_20876` `frac-add_binary64_20887` `add-log-exp_binary64_20918` `cbrt-unprod_binary64_20912`
3×	`frac-2neg_binary64_20890` `unswap-sqr_binary64_20847` `clear-num_binary64_20878`
2×	`rec-exp_binary64_20929` `1-exp_binary64_20923` `associate-*l/_binary64_20822` `frac-times_binary64_20889`
1×	`inv-pow_binary64_20964` `pow-prod-down_binary64_20950` `un-div-inv_binary64_20877` `-commutative_binary64_20810` `pow-flip_binary64_20953` `associate-r/_binary64_20821`

Counts

4 → 136

Calls

4 calls:

21.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))
9.0ms	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
5.0ms	(/.f64 (*.f64 y z) t)
4.0ms	(/.f64 (*.f64 y b) t)

series1.1s (9.1%)

Counts

4 → 73

Calls

4 calls:

716.0ms	(.f64 (+.f64 x (/.f64 (.f64 y z) t)) (/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t))))
152.0ms	(/.f64 1 (+.f64 (+.f64 a 1) (/.f64 (*.f64 y b) t)))
101.0ms	(/.f64 (*.f64 y b) t)
100.0ms	(/.f64 (*.f64 y z) t)

Compiler

Compiled 4094 to 3213 computations (21.5% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4995	4667
1	4995	4667

prune220.0ms (1.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	208	1	209
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	208	18	226

Merged error: 2.6b

Counts

226 → 18

Compiler

Compiled 5636 to 2201 computations (60.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

12.6b	(/.f64 (+.f64 x (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) (cbrt.f64 (/.f64 (.f64 y z) t))) (cbrt.f64 (/.f64 (.f64 y z) t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
20.4b	(cbrt.f64 (/.f64 (*.f64 y z) t))
20.4b	(cbrt.f64 (/.f64 (*.f64 y z) t))
20.4b	(cbrt.f64 (/.f64 (*.f64 y z) t))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_20879`
24×	`times-frac_binary64_20885`
21×	`cbrt-prod_binary64_20910`
20×	`add-sqr-sqrt_binary64_20901` `add-cube-cbrt_binary64_20914`
12×	`distribute-lft-out_binary64_20830`
6×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
5×	`associate-/r*_binary64_20823`
4×	`associate-/r/_binary64_20825` `div-inv_binary64_20876` `pow1_binary64_20940` `add-log-exp_binary64_20918`
3×	`associate-/l*_binary64_20824` `flip3-+_binary64_20882` `pow1/3_binary64_20961` `flip-+_binary64_20853` `cbrt-div_binary64_20911`
2×	`associate-/l/_binary64_20826` `frac-add_binary64_20887`
1×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `frac-2neg_binary64_20890` `clear-num_binary64_20878`

Counts

4 → 89

Calls

4 calls:

12.0ms	(/.f64 (+.f64 x (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) (cbrt.f64 (/.f64 (.f64 y z) t))) (cbrt.f64 (/.f64 (.f64 y z) t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))
3.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))

series2.0s (17%)

Counts

4 → 64

Calls

4 calls:

808.0ms	(/.f64 (+.f64 x (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y z) t)) (cbrt.f64 (/.f64 (.f64 y z) t))) (cbrt.f64 (/.f64 (.f64 y z) t)))) (+.f64 (+.f64 a 1) (/.f64 (.f64 y b) t)))
406.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))
398.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))
389.0ms	(cbrt.f64 (/.f64 (*.f64 y z) t))

Compiler

Compiled 4595 to 3343 computations (27.2% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4970	3983
1	4970	3983

prune157.0ms (1.3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	14	15
Picked	0	1	1
Done	0	2	2
Total	153	18	171

Merged error: 2.6b

Counts

171 → 18

Compiler

Compiled 5062 to 1308 computations (74.2% saved)

regimes1.5s (12.9%)

Compiler: Compiled 13094 to 9481 computations (27.6% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 15 computations (11.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	114
1	35	114

end0.0ms (0%)

sample1.9s (16.1%)

Algorithm

1×

intervals

Results

450.0ms	8000×	body	128	valid
15.0ms	282×	body	128	invalid

Compiler

Compiled 1753 to 1243 computations (29.1% saved)

Details

analyze1.5s (12.9%)

sample26.0ms (0.2%)

simplify103.0ms (0.9%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite41.0ms (0.3%)

series1.1s (9.1%)

simplify72.0ms (0.6%)

prune225.0ms (1.9%)

localize13.0ms (0.1%)

rewrite49.0ms (0.4%)

series1.1s (9.7%)

simplify130.0ms (1.1%)

prune200.0ms (1.7%)

localize13.0ms (0.1%)

rewrite54.0ms (0.5%)

series1.1s (9.1%)

simplify88.0ms (0.7%)

prune220.0ms (1.9%)

localize17.0ms (0.1%)

rewrite34.0ms (0.3%)

series2.0s (17%)

simplify84.0ms (0.7%)

prune157.0ms (1.3%)

regimes1.5s (12.9%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (16.1%)

Profiling