Details

analyze916.0ms (10.6%)

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
2.0ms	33×	body	128	invalid
2.0ms	36×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify554.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (458.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_14098`
18×	`add-sqr-sqrt_binary64_14081`
14×	`*-un-lft-identity_binary64_14059`
12×	`add-cube-cbrt_binary64_14094` `log-prod_binary64_14145`
10×	`sum-log_binary64_14150`
9×	`pow1_binary64_14120`
8×	`add-cbrt-cube_binary64_14095` `associate-l_binary64_14000` `add-exp-log_binary64_14097`
7×	`associate-r_binary64_13999`
6×	`distribute-rgt-in_binary64_14009` `flip--_binary64_14034` `associate-*l/_binary64_14002` `distribute-lft-in_binary64_14008` `diff-log_binary64_14151` `flip3--_binary64_14063` `associate--r+_binary64_13995`
4×	`frac-add_binary64_14067`
3×	`associate-+l+_binary64_13992`
2×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `associate--l+_binary64_13996`
1×	`flip-+_binary64_14033` `log-pow_binary64_14148` `difference-of-squares_binary64_14028` `+-commutative_binary64_13989` `distribute-lft-out--_binary64_14011` `associate-+l-_binary64_13994` `flip3-+_binary64_14062`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

series1.2s (14%)

Counts

4 → 69

Calls

4 calls:

646.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
351.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
144.0ms	(*.f64 z (log.f64 t))
69.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 1774 to 1704 computations (3.9% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4976	2812
1	4976	2812

prune168.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	149	10	159
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	10	160

Merged error: 0.0b

Counts

160 → 10

Compiler

Compiled 3383 to 1265 computations (62.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.3b	(-.f64 z (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_14059`
18×	`add-log-exp_binary64_14098` `add-sqr-sqrt_binary64_14081`
12×	`add-cube-cbrt_binary64_14094` `log-prod_binary64_14145`
9×	`pow1_binary64_14120`
8×	`add-cbrt-cube_binary64_14095` `associate-l_binary64_14000` `add-exp-log_binary64_14097`
7×	`associate-r_binary64_13999`
6×	`sum-log_binary64_14150` `distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate--r+_binary64_13995`
4×	`flip--_binary64_14034` `frac-add_binary64_14067` `flip3--_binary64_14063`
3×	`flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `diff-log_binary64_14151` `flip3-+_binary64_14062`
2×	`associate-l/_binary64_14002` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `-commutative_binary64_13990` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `associate-+r+_binary64_13991`
1×	`associate-+r-_binary64_13993` `log-pow_binary64_14148` `associate-+l+_binary64_13992` `difference-of-squares_binary64_14028` `+-commutative_binary64_13989` `distribute-lft-out--_binary64_14011`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
7.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series668.0ms (7.7%)

Counts

4 → 42

Calls

4 calls:

329.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
138.0ms	(*.f64 z (log.f64 t))
138.0ms	(-.f64 z (*.f64 z (log.f64 t)))
63.0ms	(*.f64 (-.f64 a 1/2) b)

Compiler

Compiled 1177 to 1129 computations (4.1% saved)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4776	1790
1	4776	1790

prune124.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	131	10	141

Merged error: 0.0b

Counts

141 → 10

Compiler

Compiled 2904 to 1126 computations (61.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.3b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.3b	(*.f64 (log.f64 (sqrt.f64 t)) z)

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_14098`
24×	`log-prod_binary64_14145`
20×	`add-sqr-sqrt_binary64_14081`
16×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
12×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `sqrt-prod_binary64_14075` `pow1_binary64_14120` `associate--r+_binary64_13995`
10×	`diff-log_binary64_14151`
9×	`associate-r_binary64_13999` `associate-l_binary64_14000`
8×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
6×	`sum-log_binary64_14150` `log-pow_binary64_14148`
5×	`associate--l+_binary64_13996`
3×	`sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025`
2×	`flip--_binary64_14034` `prod-exp_binary64_14108` `pow1/2_binary64_14139` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `sqrt-pow1_binary64_14077` `flip3--_binary64_14063`
1×	`associate--l-_binary64_13997`

Counts

4 → 100

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
10.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

series906.0ms (10.5%)

Counts

4 → 54

Calls

4 calls:

376.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 (log.f64 (sqrt.f64 t)) z))
326.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
103.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)
100.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

Compiler

Compiled 1998 to 1752 computations (12.3% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5245	2378

prune153.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	155	9	164

Merged error: 0.0b

Counts

164 → 9

Compiler

Compiled 4077 to 1315 computations (67.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `log-prod_binary64_14145`
19×	`add-sqr-sqrt_binary64_14081`
18×	`cbrt-prod_binary64_14090`
17×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
12×	`pow1_binary64_14120`
11×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
8×	`associate-l_binary64_14000`
4×	`add-log-exp_binary64_14098` `associate-r_binary64_13999` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `pow-prod-down_binary64_14130`
3×	`pow1/3_binary64_14141`
2×	`log-pow_binary64_14148` `*-commutative_binary64_13990`
1×	`unswap-sqr_binary64_14027`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
4.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series811.0ms (9.4%)

Counts

4 → 18

Calls

4 calls:

326.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
298.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
94.0ms	(cbrt.f64 t)
93.0ms	(cbrt.f64 t)

Compiler

Compiled 988 to 880 computations (10.9% saved)

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5037	1242

prune120.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

Compiler

Compiled 2985 to 1253 computations (58% saved)

regimes779.0ms (9%)

Compiler: Compiled 8568 to 7195 computations (16% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	24
1	55	24

end0.0ms (0%)

sample1.7s (19.5%)

Algorithm

1×

intervals

Results

524.0ms	7998×	body	128	valid
80.0ms	1179×	body	128	invalid
59.0ms	1112×	body	128	nan
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 748 to 629 computations (15.9% saved)

Details

analyze916.0ms (10.6%)

sample34.0ms (0.4%)

simplify554.0ms (6.4%)

prune4.0ms (0%)

localize18.0ms (0.2%)

rewrite43.0ms (0.5%)

series1.2s (14%)

simplify77.0ms (0.9%)

prune168.0ms (1.9%)

localize16.0ms (0.2%)

rewrite33.0ms (0.4%)

series668.0ms (7.7%)

simplify79.0ms (0.9%)

prune124.0ms (1.4%)

localize16.0ms (0.2%)

rewrite44.0ms (0.5%)

series906.0ms (10.5%)

simplify66.0ms (0.8%)

prune153.0ms (1.8%)

localize18.0ms (0.2%)

rewrite23.0ms (0.3%)

series811.0ms (9.4%)

simplify77.0ms (0.9%)

prune120.0ms (1.4%)

regimes779.0ms (9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (19.5%)

Profiling