Details

analyze834.0ms (14.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5065	133
0	4	4
1	4	4

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%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample23.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5059	19

prune5.0ms (0.1%)

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

2.4b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
4.8b	(/.f64 (.f64 y t) (.f64 2 z))
5.6b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

rewrite146.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

41×	`add-sqr-sqrt_binary64_11353`
38×	`*-un-lft-identity_binary64_11331`
32×	`times-frac_binary64_11337`
22×	`add-cube-cbrt_binary64_11366`
21×	`cancel-sign-sub-inv_binary64_11297`
17×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
9×	`difference-of-squares_binary64_11300`
8×	`distribute-lft-out--_binary64_11283`
6×	`associate-/r*_binary64_11275`
5×	`div-exp_binary64_11382` `add-log-exp_binary64_11370` `cbrt-undiv_binary64_11365`
4×	`associate-/r/_binary64_11277` `associate-/l*_binary64_11276` `prod-exp_binary64_11380` `cbrt-unprod_binary64_11364`
3×	`pow1_binary64_11392` `div-inv_binary64_11328` `flip3--_binary64_11335` `flip--_binary64_11306`
2×	`frac-2neg_binary64_11342` `clear-num_binary64_11330`
1×	`diff-log_binary64_11423` `sub-neg_binary64_11324`

Counts

3 → 93

Calls

3 calls:

15.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 2351 to 1192 computations (49.3% saved)

series635.0ms (10.8%)

Error

0.0b

Counts

3 → 67

Calls

3 calls:

256.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
194.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
128.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 2517 to 1927 computations (23.4% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5105	3602

prune141.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	159	3	162

Error

0.0b

Counts

162 → 3

Compiler

Compiled 3043 to 1503 computations (50.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
5.6b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
6.0b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite146.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64_11353`
41×	`times-frac_binary64_11337`
34×	`*-un-lft-identity_binary64_11331`
32×	`add-cube-cbrt_binary64_11366`
17×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
15×	`cancel-sign-sub-inv_binary64_11297`
13×	`associate-l_binary64_11272` `associate-r_binary64_11271`
5×	`pow1_binary64_11392` `div-exp_binary64_11382` `add-log-exp_binary64_11370` `cbrt-undiv_binary64_11365`
4×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299` `div-inv_binary64_11328` `associate-/r/_binary64_11277`
3×	`flip3--_binary64_11335` `flip--_binary64_11306` `associate-/l_binary64_11276` `associate-/r_binary64_11275`
2×	`difference-of-squares_binary64_11300`
1×	`pow-prod-down_binary64_11402` `frac-times_binary64_11341` `associate-l/_binary64_11274` `associate-r/_binary64_11273` `*-commutative_binary64_11262` `frac-2neg_binary64_11342` `clear-num_binary64_11330` `diff-log_binary64_11423` `sub-neg_binary64_11324` `distribute-lft-out--_binary64_11283`

Counts

3 → 108

Calls

3 calls:

11.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
10.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))

Compiler

Compiled 2626 to 1332 computations (49.3% saved)

series626.0ms (10.7%)

Error

0.0b

Counts

3 → 67

Calls

3 calls:

268.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
179.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
126.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

Compiler

Compiled 2517 to 1927 computations (23.4% saved)

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4973	3651
1	4973	3651

prune149.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	175	3	178

Error

0.0b

Counts

178 → 3

Compiler

Compiled 3336 to 1560 computations (53.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
0.7b	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))
21.0b	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))

rewrite99.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
10×	`cancel-sign-sub-inv_binary64_11297`
9×	`add-sqr-sqrt_binary64_11353` `*-un-lft-identity_binary64_11331`
7×	`add-log-exp_binary64_11370` `add-cube-cbrt_binary64_11366`
6×	`times-frac_binary64_11337`
4×	`flip3--_binary64_11335` `associate-/r/_binary64_11277` `flip--_binary64_11306`
3×	`pow1_binary64_11392` `prod-exp_binary64_11380` `div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `cbrt-unprod_binary64_11364` `associate-/r*_binary64_11275`
2×	`div-inv_binary64_11328` `diff-log_binary64_11423` `sub-neg_binary64_11324`
1×	`frac-2neg_binary64_11342` `clear-num_binary64_11330` `associate-/l*_binary64_11276` `difference-of-squares_binary64_11300` `distribute-lft-out--_binary64_11283`

Counts

3 → 59

Calls

3 calls:

11.0ms	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
10.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))
5.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))

Compiler

Compiled 1848 to 1041 computations (43.7% saved)

series755.0ms (12.9%)

Error

0.0b

Counts

3 → 76

Calls

3 calls:

302.0ms	(-.f64 x (/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))))
233.0ms	(/.f64 (.f64 (.f64 y 2) z) (-.f64 (.f64 (.f64 z 2) z) (*.f64 y t)))
158.0ms	(-.f64 (.f64 (.f64 z 2) z) (*.f64 y t))

Compiler

Compiled 2899 to 2267 computations (21.8% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4948	3178
1	4948	3178

prune118.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Error

0.0b

Counts

138 → 3

Compiler

Compiled 2743 to 1343 computations (51% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 -2 (/.f64 z t))
0.0b	(-.f64 x (*.f64 -2 (/.f64 z t)))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_11353`
13×	`associate-r_binary64_11271`
10×	`add-cube-cbrt_binary64_11366` `*-un-lft-identity_binary64_11331` `times-frac_binary64_11337`
7×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
4×	`add-log-exp_binary64_11370` `pow1_binary64_11392`
3×	`associate-l_binary64_11272`
2×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299`
1×	`diff-log_binary64_11423` `flip3--_binary64_11335` `sub-neg_binary64_11324` `flip--_binary64_11306` `cancel-sign-sub-inv_binary64_11297` `pow-prod-down_binary64_11402` `div-exp_binary64_11382` `cbrt-undiv_binary64_11365` `associate-r/_binary64_11273` `div-inv_binary64_11328` `-commutative_binary64_11262`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 -2 (/.f64 z t))
3.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))

Compiler

Compiled 624 to 326 computations (47.8% saved)

series194.0ms (3.3%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

131.0ms	(-.f64 x (*.f64 -2 (/.f64 z t)))
51.0ms	(*.f64 -2 (/.f64 z t))

Compiler

Compiled 365 to 346 computations (5.2% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5062	687

prune41.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Error

0.0b

Counts

71 → 3

Compiler

Compiled 682 to 332 computations (51.3% saved)

regimes336.0ms (5.7%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3876 to 2986 computations (23% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	19
1	55	19

end0.0ms (0%)

sample1.2s (20.7%)

Algorithm

1×

intervals

Results

378.0ms

8000×

body

128

valid

Compiler

Compiled 670 to 518 computations (22.7% saved)

Details

analyze834.0ms (14.2%)

sample23.0ms (0.4%)

simplify63.0ms (1.1%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite146.0ms (2.5%)

series635.0ms (10.8%)

simplify60.0ms (1%)

prune141.0ms (2.4%)

localize10.0ms (0.2%)

rewrite146.0ms (2.5%)

series626.0ms (10.7%)

simplify93.0ms (1.6%)

prune149.0ms (2.5%)

localize11.0ms (0.2%)

rewrite99.0ms (1.7%)

series755.0ms (12.9%)

simplify55.0ms (0.9%)

prune118.0ms (2%)

localize7.0ms (0.1%)

rewrite42.0ms (0.7%)

series194.0ms (3.3%)

simplify61.0ms (1%)

prune41.0ms (0.7%)

regimes336.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (20.7%)

Profiling