Details

analyze1.3s (18%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample158.0ms (2.1%)

Algorithm

1×

intervals

Results

98.0ms	106×	body	1280	valid
37.0ms	85×	body	640	valid
9.0ms	38×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	160	valid
0.0ms	3×	body	80	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	46	14
1	46	14

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: 62.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b	(log.f64 (-.f64 1 x))
6.7b	(log.f64 (+.f64 1 x))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
15×	`pow1_binary64` `add-cube-cbrt_binary64`
12×	`log-pow_binary64`
10×	`log-prod_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
5×	`add-cbrt-cube_binary64`
4×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-log-exp_binary64`
2×	`flip3--_binary64` `rem-log-exp_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

series17.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5027	1554

prune75.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Merged error: 0.1b

Counts

80 → 2

Compiler

Compiled 1362 to 1048 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x x) 1/2)

series3.0ms (0%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x x) 1/2)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4978	181
1	4978	181

prune23.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Merged error: 0.1b

Counts

24 → 2

Compiler

Compiled 270 to 182 computations (32.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.7b	(log.f64 (-.f64 1 (*.f64 x x)))
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (-.f64 1 x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `difference-of-squares_binary64`
10×	`log-div_binary64`
9×	`add-cube-cbrt_binary64`
7×	`log-pow_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
6×	`associate--r+_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate--l+_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`rem-log-exp_binary64`
2×	`associate--l-_binary64` `associate--r-_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 81

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

series17.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
5.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5331	1481

prune73.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

Compiler

Compiled 2086 to 1476 computations (29.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/3)
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (-.f64 1 x))
28.9b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
14×	`log-pow_binary64`
13×	`add-exp-log_binary64`
12×	`log-prod_binary64` `distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
8×	`add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64` `log-div_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `unpow-prod-down_binary64` `associate-/l*_binary64` `flip--_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`rem-log-exp_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 109

Calls

4 calls:

16.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))
7.0ms	(*.f64 (pow.f64 x 6) -1/3)
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series21.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (+.f64 (.f64 (pow.f64 x 6) -1/3) (-.f64 (.f64 (pow.f64 x 4) -1/2) (*.f64 x x))) (log.f64 (-.f64 1 x))))
5.0ms	(*.f64 (pow.f64 x 6) -1/3)
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5100	3704

prune199.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

Compiler

Compiled 4286 to 3154 computations (26.4% saved)

regimes15.0ms (0.2%)

Compiler: Compiled 36 to 29 computations (19.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample5.0s (67.5%)

Algorithm

1×

intervals

Results

3.1s	3464×	body	1280	valid
1.1s	2517×	body	640	valid
270.0ms	1214×	body	320	valid
130.0ms	8000×	pre	80	true
79.0ms	605×	body	160	valid
11.0ms	200×	body	80	valid

Compiler

Compiled 75 to 61 computations (18.7% saved)

Details

analyze1.3s (18%)

sample158.0ms (2.1%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite16.0ms (0.2%)

series17.0ms (0.2%)

simplify68.0ms (0.9%)

prune75.0ms (1%)

localize5.0ms (0.1%)

rewrite6.0ms (0.1%)

series3.0ms (0%)

simplify81.0ms (1.1%)

prune23.0ms (0.3%)

localize8.0ms (0.1%)

rewrite22.0ms (0.3%)

series17.0ms (0.2%)

simplify84.0ms (1.1%)

prune73.0ms (1%)

localize13.0ms (0.2%)

rewrite34.0ms (0.5%)

series21.0ms (0.3%)

simplify103.0ms (1.4%)

prune199.0ms (2.7%)

regimes15.0ms (0.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample5.0s (67.5%)

Profiling