Details

analyze20.1s (48.9%)

Algorithm

1×	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%	1
0%	0.2%	99.8%	2
0%	0.2%	99.8%	3
0%	0.2%	99.8%	4
0%	0.2%	99.8%	5
0%	0.2%	99.8%	6
0%	0.2%	99.8%	7
0%	0.2%	99.8%	8
0%	0.2%	99.8%	9
0%	0.2%	99.8%	10
0%	0.2%	99.8%	11
0%	0.2%	99.8%	12
0%	0.2%	99.8%	13
0%	0.2%	99.8%	14

Symmetry

(sort y z)

Compiler

Compiled 45 to 37 computations (17.8% saved)

sample100.0ms (0.2%)

Algorithm

1×

intervals

Results

39.0ms	150×	body	1024	valid
18.0ms	256×	pre	128	true
8.0ms	44×	body	512	valid
3.0ms	6×	body	2048	valid
2.0ms	45×	body	128	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 54 to 50 computations (7.4% saved)

simplify15.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	186	14
1	186	14

prune5.0ms (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

12.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize17.0ms (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))
2.0b	(tan.f64 (+.f64 y z))

rewrite87.0ms (0.2%)

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

Compiler

Compiled 790 to 187 computations (76.3% saved)

series1.3s (3.1%)

Error

11.3b

Counts

3 → 54

Calls

3 calls:

602.0ms	(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
408.0ms	(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
186.0ms	(tan.f64 (+.f64 y z))

Compiler

Compiled 3327 to 1905 computations (42.7% saved)

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4978	2929
1	4978	2929

prune127.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Error

0.1b

Counts

101 → 8

Compiler

Compiled 2371 to 745 computations (68.6% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))
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)))
0.2b	(*.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))

rewrite138.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
13×	`add-log-exp_binary64`
8×	`add-cube-cbrt_binary64`
7×	`cancel-sign-sub-inv_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`tan-quot_binary64`
4×	`associate-+r+_binary64`
3×	`diff-log_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`flip3--_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64` `distribute-lft-out_binary64`
1×	`frac-sub_binary64` `times-frac_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` `flip3-+_binary64` `flip-+_binary64` `associate-+r-_binary64` `+-commutative_binary64`

Counts

4 → 70

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)))
13.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
8.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
3.0ms	(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))

Compiler

Compiled 1989 to 665 computations (66.6% saved)

series4.2s (10.1%)

Error

0.1b

Counts

4 → 66

Calls

4 calls:

2.1s	(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.5s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
263.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
233.0ms	(-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))

Compiler

Compiled 6001 to 3089 computations (48.5% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	5324
1	4966	5324

prune184.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	133	11	144

Error

0.1b

Counts

144 → 11

Compiler

Compiled 4710 to 1628 computations (65.4% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (tan.f64 y) (tan.f64 z))
0.2b	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
0.2b	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.2b	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))

rewrite208.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`associate-*r/_binary64`
14×	`add-sqr-sqrt_binary64` `tan-quot_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`frac-sub_binary64` `*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `associate-/l/_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`frac-add_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate--r+_binary64`
3×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/l*_binary64`
2×	`associate--l+_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `frac-times_binary64` `associate-l/_binary64`

Counts

4 → 101

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
10.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
8.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 5145 to 1552 computations (69.8% saved)

series3.7s (8.9%)

Error

0.1b

Counts

4 → 66

Calls

4 calls:

1.8s	(/.f64 (-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (.f64 (tan.f64 y) (tan.f64 z))))) (.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
988.0ms	(-.f64 (.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z))) (.f64 (sin.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
490.0ms	(*.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)))
273.0ms	(*.f64 (tan.f64 y) (tan.f64 z))

Compiler

Compiled 8672 to 4144 computations (52.2% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5517	8048

prune284.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	167	11	178

Error

0.0b

Counts

178 → 11

Compiler

Compiled 8801 to 2757 computations (68.7% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite125.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
9×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
5×	`tan-quot_binary64` `cancel-sign-sub-inv_binary64` `log-prod_binary64`
4×	`exp-sum_binary64` `log-pow_binary64`
3×	`sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `exp-diff_binary64` `rem-exp-log_binary64`
1×	`frac-sub_binary64` `flip3--_binary64` `flip--_binary64` `times-frac_binary64` `distribute-lft-out--_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` `log-div_binary64` `rem-log-exp_binary64`

Counts

4 → 72

Calls

4 calls:

18.0ms	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))
5.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
5.0ms	(exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
4.0ms	(log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))

Compiler

Compiled 2089 to 839 computations (59.8% saved)

series3.2s (7.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

2.1s	(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))
513.0ms	(log.f64 (exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
265.0ms	(*.f64 (tan.f64 y) (tan.f64 z))
257.0ms	(exp.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))

Compiler

Compiled 4646 to 2665 computations (42.6% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5523	3702

prune145.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	126	11	137

Error

0.0b

Counts

137 → 11

Compiler

Compiled 3815 to 1354 computations (64.5% saved)

regimes2.0s (4.9%)

Accuracy

Total 0.1b remaining (72.3%)

Threshold costs 0.1b (72.3%)

Compiler

Compiled 29084 to 18528 computations (36.3% saved)

bsearch0.0ms (0%)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	29
1	52	29

Remove

(sort y z)

Compiler

Compiled 36 to 28 computations (22.2% saved)

end0.0ms (0%)

sample4.8s (11.7%)

Algorithm

1×

intervals

Results

1.1s	4556×	body	1024	valid
525.0ms	8000×	pre	128	true
224.0ms	1402×	body	512	valid
135.0ms	217×	body	2048	valid
72.0ms	1317×	body	128	valid
57.0ms	508×	body	256	valid

Compiler

Compiled 3166 to 2024 computations (36.1% saved)

Details

analyze20.1s (48.9%)

sample100.0ms (0.2%)

simplify15.0ms (0%)

prune5.0ms (0%)

localize17.0ms (0%)

rewrite87.0ms (0.2%)

series1.3s (3.1%)

simplify92.0ms (0.2%)

prune127.0ms (0.3%)

localize14.0ms (0%)

rewrite138.0ms (0.3%)

series4.2s (10.1%)

simplify94.0ms (0.2%)

prune184.0ms (0.4%)

localize19.0ms (0%)

rewrite208.0ms (0.5%)

series3.7s (8.9%)

simplify90.0ms (0.2%)

prune284.0ms (0.7%)

localize17.0ms (0%)

rewrite125.0ms (0.3%)

series3.2s (7.9%)

simplify65.0ms (0.2%)

prune145.0ms (0.4%)

regimes2.0s (4.9%)

bsearch0.0ms (0%)

simplify12.0ms (0%)

end0.0ms (0%)

sample4.8s (11.7%)

Profiling