Details

analyze1.8s (10.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6568	928
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Symmetry

(sort z t a)

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample138.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
23.0ms	281×	body	128	nan
3.0ms	33×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite211.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`log-prod_binary64_1528`
22×	`add-sqr-sqrt_binary64_1464`
20×	`add-log-exp_binary64_1481`
18×	`*-un-lft-identity_binary64_1442`
16×	`add-cube-cbrt_binary64_1477`
12×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
11×	`sum-log_binary64_1533`
10×	`pow1_binary64_1503`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `associate-r_binary64_1382`
7×	`associate-+l+_binary64_1375`
6×	`associate-*l/_binary64_1385` `associate-+r+_binary64_1374`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `*-commutative_binary64_1373` `+-commutative_binary64_1372`
1×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 96

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
12.0ms	(*.f64 x (log.f64 y))
8.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))

Compiler

Compiled 3055 to 1063 computations (65.2% saved)

series2.1s (13.2%)

Error

0.1b

Counts

4 → 66

Calls

4 calls:

1.5s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
253.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
169.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
135.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3680 to 2590 computations (29.6% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5339	2872

prune215.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	7	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	7	163

Error

0.0b

Counts

163 → 7

Compiler

Compiled 4284 to 1499 computations (65% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite220.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64_1528`
36×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
30×	`cbrt-prod_binary64_1473`
26×	`add-sqr-sqrt_binary64_1464`
24×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `associate-+l+_binary64_1375`
12×	`associate-+r+_binary64_1374`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`associate-r_binary64_1382`
3×	`pow1/3_binary64_1524` `associate-l_binary64_1383`
2×	`log-pow_binary64_1531`
1×	`sum-log_binary64_1533` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `*-commutative_binary64_1373`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
11.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

Compiler

Compiled 3866 to 1605 computations (58.5% saved)

series883.0ms (5.4%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

372.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
312.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
88.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)

Compiler

Compiled 1638 to 1318 computations (19.5% saved)

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4850	1320
1	4850	1320

prune206.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Error

0.0b

Counts

127 → 7

Compiler

Compiled 4166 to 1871 computations (55.1% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite234.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`log-prod_binary64_1528`
33×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
24×	`cbrt-prod_binary64_1473` `add-sqr-sqrt_binary64_1464` `associate-+l+_binary64_1375`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-+r+_binary64_1374`
8×	`associate-*l/_binary64_1385`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`frac-add_binary64_1450` `associate-r_binary64_1382`
3×	`associate-l_binary64_1383`
2×	`pow1/3_binary64_1524`
1×	`sum-log_binary64_1533` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `*-commutative_binary64_1373`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 4176 to 1764 computations (57.8% saved)

series1.1s (6.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

686.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (cbrt.f64 c))))
158.0ms	(*.f64 x (log.f64 y))
104.0ms	(cbrt.f64 c)
87.0ms	(cbrt.f64 c)

Compiler

Compiled 1943 to 1471 computations (24.3% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4963	1606
1	4963	1606

prune190.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	121	6	127

Error

0.0b

Counts

127 → 6

Compiler

Compiled 4345 to 1758 computations (59.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (pow.f64 c 1/3))))
0.6b	(cbrt.f64 c)
5.0b	(pow.f64 c 1/3)

rewrite284.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`log-prod_binary64_1528`
34×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
25×	`add-sqr-sqrt_binary64_1464`
24×	`associate-+l+_binary64_1375`
23×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
15×	`cbrt-prod_binary64_1473`
14×	`associate-+r+_binary64_1374`
9×	`unpow-prod-down_binary64_1521`
8×	`pow1_binary64_1503` `associate-*l/_binary64_1385`
7×	`add-exp-log_binary64_1480`
6×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`frac-add_binary64_1450` `associate-r_binary64_1382`
3×	`pow-unpow_binary64_1519` `sqr-pow_binary64_1414` `associate-l_binary64_1383`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow1/3_binary64_1509` `pow1/3_binary64_1524` `sum-log_binary64_1533` `distribute-lft-out_binary64_1393` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `*-commutative_binary64_1373`

Counts

4 → 108

Calls

4 calls:

31.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (pow.f64 c 1/3))))
13.0ms	(*.f64 x (log.f64 y))
4.0ms	(pow.f64 c 1/3)
2.0ms	(cbrt.f64 c)

Compiler

Compiled 4653 to 2329 computations (49.9% saved)

series1.2s (7.1%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

759.0ms	(+.f64 (.f64 (+.f64 -1/2 b) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (+.f64 -1/2 b) (log.f64 (pow.f64 c 1/3))))
170.0ms	(*.f64 x (log.f64 y))
103.0ms	(pow.f64 c 1/3)
88.0ms	(cbrt.f64 c)

Compiler

Compiled 2054 to 1615 computations (21.4% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5027	1601

prune211.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Error

0.0b

Counts

135 → 6

Compiler

Compiled 4535 to 1959 computations (56.8% saved)

regimes2.0s (12.3%)

Accuracy

Total 0.1b remaining (89.8%)

Threshold costs 0.1b (89.8%)

Compiler

Compiled 20132 to 17510 computations (13% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	49
1	46	49

Remove

(sort z t a)

Compiler

Compiled 62 to 50 computations (19.4% saved)

end0.0ms (0%)

sample4.7s (28.8%)

Algorithm

1×

intervals

Results

847.0ms	9662×	body	128	nan
811.0ms	7997×	body	128	valid
123.0ms	1177×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1724 to 1494 computations (13.3% saved)

Details

analyze1.8s (10.9%)

sample138.0ms (0.8%)

simplify78.0ms (0.5%)

prune4.0ms (0%)

localize25.0ms (0.2%)

rewrite211.0ms (1.3%)

series2.1s (13.2%)

simplify94.0ms (0.6%)

prune215.0ms (1.3%)

localize32.0ms (0.2%)

rewrite220.0ms (1.4%)

series883.0ms (5.4%)

simplify142.0ms (0.9%)

prune206.0ms (1.3%)

localize34.0ms (0.2%)

rewrite234.0ms (1.4%)

series1.1s (6.6%)

simplify91.0ms (0.6%)

prune190.0ms (1.2%)

localize31.0ms (0.2%)

rewrite284.0ms (1.8%)

series1.2s (7.1%)

simplify93.0ms (0.6%)

prune211.0ms (1.3%)

regimes2.0s (12.3%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample4.7s (28.8%)

Profiling