Details

analyze37.0s (59.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1110	98
1	1110	98
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0.2%	99.8%	0
0%	0.2%	99.8%	0
0%	0.2%	99.8%	1
0%	0.2%	99.8%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14
0%	0.2%	99.8%	14

Symmetry

(sort y z)

Compiler

Compiled 90 to 74 computations (17.8% saved)

sample407.0ms (0.7%)

Algorithm

2×

intervals

Results

80.0ms	299×	body	1024	valid
35.0ms	512×	pre	128	true
13.0ms	77×	body	512	valid
8.0ms	90×	body	128	valid
5.0ms	11×	body	2048	valid
4.0ms	35×	body	256	valid

Compiler

Compiled 11619 to 10587 computations (8.9% saved)

simplify14.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	186	14
1	186	14

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

13.5b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

0.1b	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.5b	(tan.f64 (+.f64 y z))

rewrite83.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

12×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`add-cube-cbrt_binary64`
4×	`tan-quot_binary64` `associate-+r+_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`tan-sum_binary64` `diff-log_binary64` `frac-sub_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

7.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
5.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 790 to 187 computations (76.3% saved)

series1.9s (3%)

Error

12.6b

Counts

3 → 54

Calls

3 calls:

914.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
639.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
246.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 3327 to 1905 computations (42.7% saved)

simplify85.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4978	2929
1	4978	2929

prune152.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	11	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Error

0.1b

Counts

101 → 11

Compiler

Compiled 2422 to 780 computations (67.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.1b	(+.f64 (tan.f64 y) (tan.f64 z))
0.2b	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))

rewrite178.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`tan-quot_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`
4×	`associate-+r+_binary64`
3×	`associate-l_binary64` `associate-r_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `times-frac_binary64` `frac-add_binary64` `associate-+r-_binary64`

Counts

4 → 71

Calls

4 calls:

14.0ms	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
14.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
4.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 1999 to 656 computations (67.2% saved)

series6.2s (10%)

Error

0.1b

Counts

4 → 66

Calls

4 calls:

3.1s	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
2.2s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
403.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
314.0ms	(+.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 5953 to 3081 computations (48.2% saved)

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	5198
1	4999	5198

prune222.0ms (0.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	138	10	148

Error

0.0b

Counts

148 → 10

Compiler

Compiled 4639 to 1602 computations (65.5% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.6b	(pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)
8.6b	(cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3))

rewrite198.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`cbrt-prod_binary64`
13×	`add-cube-cbrt_binary64`
9×	`tan-quot_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64` `difference-of-squares_binary64`
5×	`times-frac_binary64`
4×	`distribute-lft-out_binary64`
3×	`cbrt-div_binary64` `sqr-pow_binary64` `pow-unpow_binary64` `associate-l_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`frac-add_binary64` `flip3-+_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-pow_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `distribute-lft-out--_binary64`

Counts

4 → 97

Calls

4 calls:

26.0ms	(-.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
6.0ms	(pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 3062 to 1245 computations (59.3% saved)

series3.3s (5.4%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

2.1s	(-.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
477.0ms	(pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3)
374.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
295.0ms	(cbrt.f64 (pow.f64 (+.f64 (tan.f64 y) (tan.f64 z)) 3))

Compiler

Compiled 4614 to 2682 computations (41.9% saved)

simplify65.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5398	4308

prune234.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	151	10	161

Error

0.0b

Counts

161 → 10

Compiler

Compiled 4932 to 1911 computations (61.3% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a))
0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.4b	(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)
25.0b	(cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))

rewrite172.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
13×	`tan-quot_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64`
8×	`cbrt-prod_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64`
3×	`frac-times_binary64` `cbrt-div_binary64` `associate-l/_binary64` `associate-r/_binary64` `pow-unpow_binary64` `associate-l_binary64` `associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`unpow-prod-down_binary64` `unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `sqr-pow_binary64` `pow-prod-down_binary64` `pow-pow_binary64` `prod-exp_binary64` `pow-exp_binary64` `rem-cube-cbrt_binary64` `cbrt-unprod_binary64` `difference-of-squares_binary64`
1×	`pow1/3_binary64` `rem-cbrt-cube_binary64` `pow-to-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64` `diff-log_binary64` `frac-sub_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `times-frac_binary64` `distribute-lft-out--_binary64`

Counts

4 → 84

Calls

4 calls:

24.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a))
6.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))

Compiler

Compiled 2495 to 1023 computations (59% saved)

series3.7s (5.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

2.1s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a))
700.0ms	(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)
373.0ms	(cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))
368.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 4998 to 2946 computations (41.1% saved)

simplify60.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5074	3924

prune180.0ms (0.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	138	10	148

Error

0.0b

Counts

148 → 10

Compiler

Compiled 4304 to 1658 computations (61.5% saved)

regimes2.5s (4%)

Accuracy

Total 0.2b remaining (76.4%)

Threshold costs 0.2b (76.4%)

Compiler

Compiled 32230 to 20619 computations (36% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	49
1	67	49

Remove

(sort y z)

Compiler

Compiled 60 to 36 computations (40% saved)

end0.0ms (0%)

sample5.3s (8.6%)

Algorithm

1×

intervals

Results

1.4s	4535×	body	1024	valid
520.0ms	8000×	pre	128	true
228.0ms	1437×	body	512	valid
148.0ms	218×	body	2048	valid
69.0ms	1320×	body	128	valid
56.0ms	490×	body	256	valid

Compiler

Compiled 3528 to 2263 computations (35.9% saved)

Details

analyze37.0s (59.6%)

sample407.0ms (0.7%)

simplify14.0ms (0%)

prune4.0ms (0%)

localize11.0ms (0%)

rewrite83.0ms (0.1%)

series1.9s (3%)

simplify85.0ms (0.1%)

prune152.0ms (0.2%)

localize14.0ms (0%)

rewrite178.0ms (0.3%)

series6.2s (10%)

simplify81.0ms (0.1%)

prune222.0ms (0.4%)

localize17.0ms (0%)

rewrite198.0ms (0.3%)

series3.3s (5.4%)

simplify65.0ms (0.1%)

prune234.0ms (0.4%)

localize16.0ms (0%)

rewrite172.0ms (0.3%)

series3.7s (5.9%)

simplify60.0ms (0.1%)

prune180.0ms (0.3%)

regimes2.5s (4%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample5.3s (8.6%)

Profiling