Details

analyze183.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid
0.0ms	2×	body	128	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify438.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (344.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite99.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`*-un-lft-identity_binary64_9285`
9×	`pow1_binary64_9346` `add-sqr-sqrt_binary64_9307`
8×	`add-log-exp_binary64_9324` `distribute-lft-out_binary64_9236`
7×	`add-cube-cbrt_binary64_9320` `associate-r_binary64_9225`
5×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `associate-+r+_binary64_9217`
4×	`log-pow_binary64_9374` `distribute-lft-out--_binary64_9237` `associate-+l+_binary64_9218`
3×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `associate-l_binary64_9226` `sum-log_binary64_9376` `cancel-sign-sub-inv_binary64_9251` `log-prod_binary64_9371`
2×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-*r/_binary64_9227` `+-commutative_binary64_9215`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216` `diff-log_binary64_9377` `associate-+l-_binary64_9220` `sub-neg_binary64_9278`

Counts

3 → 63

Calls

3 calls:

12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 1231 to 755 computations (38.7% saved)

series495.0ms (6.6%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

282.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
140.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
50.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Compiler

Compiled 903 to 665 computations (26.4% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5370	1270

prune92.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 1509 to 913 computations (39.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-log-exp_binary64_9324`
7×	`add-sqr-sqrt_binary64_9307`
6×	`pow1_binary64_9346` `*-un-lft-identity_binary64_9285`
5×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `add-cube-cbrt_binary64_9320` `sum-log_binary64_9376`
4×	`associate-l_binary64_9226`
3×	`associate-r_binary64_9225`
2×	`diff-log_binary64_9377`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `log-pow_binary64_9374` `*-commutative_binary64_9216` `flip3-+_binary64_9288` `flip-+_binary64_9259` `associate-+r-_binary64_9219` `associate-+l-_binary64_9220` `associate-+l+_binary64_9218` `+-commutative_binary64_9215` `flip3--_binary64_9289` `sub-neg_binary64_9278` `flip--_binary64_9260` `cancel-sign-sub-inv_binary64_9251` `distribute-rgt-out--_binary64_9239`

Counts

3 → 47

Calls

3 calls:

9.0ms	(+.f64 (+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y))) (*.f64 (log.f64 z) y))
5.0ms	(*.f64 (log.f64 z) y)
3.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1016 to 361 computations (64.5% saved)

series518.0ms (6.9%)

Error

0.0b

Counts

3 → 32

Calls

3 calls:

297.0ms	(+.f64 (+.f64 (.f64 1/2 x) (-.f64 y (.f64 z y))) (*.f64 (log.f64 z) y))
138.0ms	(*.f64 (log.f64 z) y)
59.0ms	(-.f64 y (*.f64 z y))

Compiler

Compiled 1090 to 744 computations (31.7% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4990	992
1	4990	992

prune66.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Error

0.0b

Counts

84 → 5

Compiler

Compiled 1352 to 523 computations (61.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (log.f64 z) y)) (cbrt.f64 (*.f64 (log.f64 z) y)))
0.6b	(cbrt.f64 (*.f64 (log.f64 z) y))
0.6b	(cbrt.f64 (*.f64 (log.f64 z) y))
0.6b	(cbrt.f64 (*.f64 (log.f64 z) y))

rewrite81.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_9346`
10×	`add-sqr-sqrt_binary64_9307`
9×	`pow1/3_binary64_9367`
8×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
7×	`cbrt-prod_binary64_9316`
6×	`add-exp-log_binary64_9323`
4×	`add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321` `swap-sqr_binary64_9252` `associate-l_binary64_9226` `associate-r_binary64_9225`
2×	`pow-prod-down_binary64_9356` `pow-prod-up_binary64_9355` `pow-sqr_binary64_9258`
1×	`pow2_binary64_9366` `pow-plus_binary64_9348` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (log.f64 z) y)) (cbrt.f64 (*.f64 (log.f64 z) y)))
3.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))
2.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))
2.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))

Compiler

Compiled 1886 to 420 computations (77.7% saved)

series1.3s (16.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

384.0ms	(.f64 (cbrt.f64 (.f64 (log.f64 z) y)) (cbrt.f64 (*.f64 (log.f64 z) y)))
296.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))
284.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))
282.0ms	(cbrt.f64 (*.f64 (log.f64 z) y))

Compiler

Compiled 2280 to 1391 computations (39% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5376	806

prune83.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Error

0.0b

Counts

87 → 5

Compiler

Compiled 2380 to 634 computations (73.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
0.5b	(*.f64 (log.f64 z) (log.f64 z))
5.4b	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
11.3b	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))

rewrite294.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

40×	`*-un-lft-identity_binary64_9285`
30×	`add-sqr-sqrt_binary64_9307`
28×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
24×	`associate--l+_binary64_9222`
23×	`pow1_binary64_9346`
22×	`add-cube-cbrt_binary64_9320`
21×	`cancel-sign-sub-inv_binary64_9251`
13×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
12×	`distribute-lft-out--_binary64_9237` `log-prod_binary64_9371`
10×	`log-pow_binary64_9374`
9×	`sub-neg_binary64_9278`
8×	`times-frac_binary64_9291` `associate-/r_binary64_9229` `associate-r*_binary64_9225`
7×	`associate-l_binary64_9226`
6×	`add-log-exp_binary64_9324` `swap-sqr_binary64_9252` `associate--r+_binary64_9221`
4×	`difference-of-squares_binary64_9254` `flip3--_binary64_9289` `associate-*r/_binary64_9227` `flip--_binary64_9260`
3×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318`
2×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216`
1×	`frac-2neg_binary64_9296` `clear-num_binary64_9284` `div-inv_binary64_9282` `associate-/l*_binary64_9230` `pow2_binary64_9366` `pow-prod-up_binary64_9355` `pow-plus_binary64_9348` `pow-sqr_binary64_9258` `diff-log_binary64_9377`

Counts

4 → 139

Calls

4 calls:

24.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
20.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
14.0ms	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
5.0ms	(*.f64 (log.f64 z) (log.f64 z))

Compiler

Compiled 5004 to 2691 computations (46.2% saved)

series857.0ms (11.4%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

360.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
266.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
122.0ms	(-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (.f64 (log.f64 z) (log.f64 z)))
77.0ms	(*.f64 (log.f64 z) (log.f64 z))

Compiler

Compiled 2032 to 1522 computations (25.1% saved)

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5020	3042

prune226.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	168	6	174

Error

0.0b

Counts

174 → 6

Compiler

Compiled 4659 to 2720 computations (41.6% saved)

regimes727.0ms (9.6%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 7914 to 6184 computations (21.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	18
1	101	18

end0.0ms (0%)

sample1.7s (22.1%)

Algorithm

1×

intervals

Results

401.0ms	8000×	body	128	valid
16.0ms	349×	body	128	invalid
2.0ms	61×	body	128	nan

Compiler

Compiled 1112 to 871 computations (21.7% saved)

Details

analyze183.0ms (2.4%)

sample24.0ms (0.3%)

simplify438.0ms (5.8%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite99.0ms (1.3%)

series495.0ms (6.6%)

simplify71.0ms (0.9%)

prune92.0ms (1.2%)

localize10.0ms (0.1%)

rewrite64.0ms (0.8%)

series518.0ms (6.9%)

simplify77.0ms (1%)

prune66.0ms (0.9%)

localize16.0ms (0.2%)

rewrite81.0ms (1.1%)

series1.3s (16.9%)

simplify66.0ms (0.9%)

prune83.0ms (1.1%)

localize14.0ms (0.2%)

rewrite294.0ms (3.9%)

series857.0ms (11.4%)

simplify87.0ms (1.2%)

prune226.0ms (3%)

regimes727.0ms (9.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (22.1%)

Profiling