Details

analyze831.0ms (7.3%)

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
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample111.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	453×	body	128	nan
26.0ms	256×	body	128	valid
16.0ms	196×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5097	24

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: 0.2b

Counts

2 → 2

Compiler

Compiled 84 to 79 computations (6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
1.0b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.1b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64`
10×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`exp-sum_binary64` `exp-prod_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 99

Calls

4 calls:

14.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
9.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
6.0ms	(*.f64 y (log.f64 z))

series782.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

422.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
240.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
70.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
50.0ms	(*.f64 y (log.f64 z))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4997	1833
1	4997	1833

prune249.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	5	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

Compiler

Compiled 4825 to 2991 computations (38% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.7b	(*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b)))
2.7b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b))))

rewrite127.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

253×	`add-exp-log_binary64`
149×	`add-sqr-sqrt_binary64`
135×	`times-frac_binary64`
132×	`prod-exp_binary64`
130×	`div-exp_binary64`
77×	`associate-l_binary64`
67×	`add-cbrt-cube_binary64`
63×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
51×	`cbrt-prod_binary64`
42×	`unpow-prod-down_binary64`
36×	`cbrt-unprod_binary64`
32×	`pow-to-exp_binary64` `pow-exp_binary64`
28×	`unswap-sqr_binary64`
26×	`associate-r_binary64` `cbrt-undiv_binary64`
24×	`sqr-pow_binary64` `unpow-prod-up_binary64`
18×	`cancel-sign-sub-inv_binary64`
11×	`pow1_binary64`
6×	`sub-neg_binary64` `associate-*r/_binary64` `frac-times_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*l/_binary64`
3×	`div-inv_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`

Counts

4 → 268

Calls

4 calls:

52.0ms	(*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b)))
26.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series1.5s (13%)

Counts

4 → 12

Calls

4 calls:

635.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b))))
552.0ms	(*.f64 (/.f64 (pow.f64 a (-.f64 t 1)) (cbrt.f64 y)) (/.f64 (pow.f64 z y) (exp.f64 b)))
148.0ms	(cbrt.f64 y)
137.0ms	(cbrt.f64 y)

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4924	8064
1	4924	8064

prune348.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	280	7	287

Merged error: 0.0b

Counts

287 → 7

Compiler

Compiled 8513 to 3143 computations (63.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
0.2b	(pow.f64 a (-.f64 t 1))
0.2b	(/.f64 (pow.f64 z y) (exp.f64 b))
4.5b	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))

rewrite79.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64`
77×	`add-sqr-sqrt_binary64`
62×	`prod-exp_binary64`
60×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
43×	`div-exp_binary64`
38×	`associate-r_binary64`
34×	`unpow-prod-down_binary64`
32×	`add-cbrt-cube_binary64`
23×	`pow-to-exp_binary64` `pow-exp_binary64`
16×	`sqr-pow_binary64`
12×	`cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64`
8×	`unpow-prod-up_binary64`
7×	`pow-unpow_binary64` `pow1_binary64` `cbrt-undiv_binary64` `pow-sub_binary64` `associate-/l*_binary64`
6×	`cancel-sign-sub-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`associate-/r*_binary64` `div-inv_binary64`
2×	`sub-neg_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 206

Calls

4 calls:

25.0ms	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
18.0ms	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
7.0ms	(/.f64 (pow.f64 z y) (exp.f64 b))
5.0ms	(pow.f64 a (-.f64 t 1))

series1.4s (12.4%)

Counts

4 → 12

Calls

4 calls:

785.0ms	(.f64 (.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b))) (/.f64 x y))
401.0ms	(*.f64 (pow.f64 a (-.f64 t 1)) (/.f64 (pow.f64 z y) (exp.f64 b)))
126.0ms	(/.f64 (pow.f64 z y) (exp.f64 b))
91.0ms	(pow.f64 a (-.f64 t 1))

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4927	4575
1	4927	4575

prune469.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	219	6	225

Merged error: 0.0b

Counts

225 → 6

Compiler

Compiled 5972 to 2664 computations (55.4% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 y (.f64 a (exp.f64 b)))
0.0b	(.f64 x (.f64 (pow.f64 z y) (pow.f64 a t)))
3.3b	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 a t))) (.f64 y (.f64 a (exp.f64 b))))

rewrite43.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

157×	`add-exp-log_binary64`
112×	`prod-exp_binary64`
49×	`add-cbrt-cube_binary64`
33×	`div-exp_binary64`
24×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
6×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

3 → 98

Calls

3 calls:

15.0ms	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 a t))) (.f64 y (.f64 a (exp.f64 b))))
8.0ms	(.f64 x (.f64 (pow.f64 z y) (pow.f64 a t)))
7.0ms	(.f64 y (.f64 a (exp.f64 b)))

series891.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

574.0ms	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 a t))) (.f64 y (.f64 a (exp.f64 b))))
268.0ms	(.f64 x (.f64 (pow.f64 z y) (pow.f64 a t)))
50.0ms	(.f64 y (.f64 a (exp.f64 b)))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6303	2079

prune116.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

Compiler

Compiled 2745 to 820 computations (70.1% saved)

regimes184.0ms (1.6%)

Compiler: Compiled 1306 to 1237 computations (5.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	28
1	42	28

end0.0ms (0%)

sample3.6s (31.9%)

Algorithm

1×

intervals

Results

1.0s	14468×	body	128	nan
698.0ms	8000×	body	128	valid
615.0ms	7281×	body	128	invalid

Compiler

Compiled 210 to 179 computations (14.8% saved)

Details

analyze831.0ms (7.3%)

sample111.0ms (1%)

simplify93.0ms (0.8%)

prune7.0ms (0.1%)

localize18.0ms (0.2%)

rewrite47.0ms (0.4%)

series782.0ms (6.9%)

simplify69.0ms (0.6%)

prune249.0ms (2.2%)

localize21.0ms (0.2%)

rewrite127.0ms (1.1%)

series1.5s (13%)

simplify152.0ms (1.3%)

prune348.0ms (3.1%)

localize15.0ms (0.1%)

rewrite79.0ms (0.7%)

series1.4s (12.4%)

simplify112.0ms (1%)

prune469.0ms (4.1%)

localize15.0ms (0.1%)

rewrite43.0ms (0.4%)

series891.0ms (7.9%)

simplify57.0ms (0.5%)

prune116.0ms (1%)

regimes184.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (31.9%)

Profiling