Details

analyze365.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	142×	body	128	nan

Compiler

Compiled 33 to 36 computations (-9.1% saved)

simplify101.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	1362	25
1	1362	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: 0.3b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
0.2b	(*.f64 (-.f64 a 1/2) (log.f64 t))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`log-prod_binary64`
15×	`pow1_binary64`
14×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
6×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`
5×	`associate-l_binary64` `associate-+l-_binary64`
4×	`flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `frac-add_binary64` `log-div_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
8.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

series781.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

358.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 1/2) (log.f64 t)))
243.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
101.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
79.0ms	(*.f64 (-.f64 a 1/2) (log.f64 t))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4991	2455
1	4991	2455

prune500.0ms (7.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	108	11	119

Merged error: 0.0b

Counts

119 → 11

Compiler

Compiled 9102 to 6046 computations (33.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
28×	`associate-+l+_binary64`
26×	`*-un-lft-identity_binary64`
24×	`cbrt-prod_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`associate-+r+_binary64`
8×	`pow1_binary64` `associate-*l/_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`pow1/3_binary64` `associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 98

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
10.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series638.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
150.0ms	(cbrt.f64 t)
145.0ms	(cbrt.f64 t)
99.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5862	1664

prune258.0ms (3.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	111	10	121

Merged error: 0b

Counts

121 → 10

Compiler

Compiled 5394 to 3012 computations (44.2% saved)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (pow.f64 t 1/3)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
5.1b	(pow.f64 t 1/3)

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`log-prod_binary64`
34×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
32×	`associate-+l+_binary64`
27×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64` `associate-+r+_binary64`
9×	`pow1_binary64` `cbrt-prod_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `distribute-lft-out_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `pow-exp_binary64` `unpow1/3_binary64`

Counts

4 → 109

Calls

4 calls:

18.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (pow.f64 t 1/3)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
3.0ms	(pow.f64 t 1/3)
1.0ms	(cbrt.f64 t)

series729.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

308.0ms	(+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (pow.f64 t 1/3)))) (*.f64 (-.f64 a 1/2) (log.f64 (cbrt.f64 t))))
161.0ms	(cbrt.f64 t)
161.0ms	(pow.f64 t 1/3)
98.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5148	1705

prune198.0ms (2.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Merged error: 0b

Counts

131 → 10

Compiler

Compiled 4299 to 2247 computations (47.7% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`frac-add_binary64`
16×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`associate-*r/_binary64`
11×	`associate-+r+_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`sum-log_binary64`
8×	`pow1_binary64` `associate-*l/_binary64`
7×	`log-prod_binary64`
6×	`cancel-sign-sub-inv_binary64` `cbrt-prod_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `flip-+_binary64`
4×	`log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`associate-+l-_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `pow1/3_binary64` `log-div_binary64` `+-commutative_binary64`
1×	`associate-+r-_binary64`

Counts

4 → 82

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series726.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(+.f64 (+.f64 (.f64 (-.f64 a 1/2) (.f64 2 (log.f64 (cbrt.f64 t)))) (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)) (*.f64 (log.f64 (cbrt.f64 t)) (-.f64 a 1/2)))
166.0ms	(cbrt.f64 t)
149.0ms	(cbrt.f64 t)
106.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4939	3615
1	4939	3615

prune192.0ms (2.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	94	10	104

Merged error: 0b

Counts

104 → 10

Compiler

Compiled 4716 to 2279 computations (51.7% saved)

regimes290.0ms (4.1%)

Compiler: Compiled 2841 to 2317 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	25
1	38	25

end0.0ms (0%)

sample1.6s (23.3%)

Algorithm

1×

intervals

Results

645.0ms	8000×	body	128	valid
299.0ms	4335×	body	128	nan
3.0ms	40×	body	128	invalid

Compiler

Compiled 300 to 248 computations (17.3% saved)

Details

analyze365.0ms (5.2%)

sample44.0ms (0.6%)

simplify101.0ms (1.4%)

prune3.0ms (0%)

localize20.0ms (0.3%)

rewrite52.0ms (0.7%)

series781.0ms (11.1%)

simplify70.0ms (1%)

prune500.0ms (7.1%)

localize21.0ms (0.3%)

rewrite44.0ms (0.6%)

series638.0ms (9.1%)

simplify52.0ms (0.7%)

prune258.0ms (3.7%)

localize32.0ms (0.5%)

rewrite45.0ms (0.6%)

series729.0ms (10.4%)

simplify55.0ms (0.8%)

prune198.0ms (2.8%)

localize21.0ms (0.3%)

rewrite49.0ms (0.7%)

series726.0ms (10.4%)

simplify90.0ms (1.3%)

prune192.0ms (2.7%)

regimes290.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (23.3%)

Profiling