Details

analyze1.6s (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5331	140
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
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

Symmetry

(sort y z)

Compiler

Compiled 20 to 20 computations (0% saved)

sample117.0ms (1.1%)

Algorithm

1×

intervals

Results

30.0ms	333×	body	128	nan
25.0ms	256×	body	128	valid

Compiler

Compiled 39 to 43 computations (-10.3% saved)

simplify118.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5398	20

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

1.0b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (sqrt.f64 t) z)
1.0b	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))
2.1b	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
4.3b	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))

rewrite260.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

116×	`times-frac_binary64_21567`
66×	`add-sqr-sqrt_binary64_21583`
62×	`add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
39×	`sqrt-prod_binary64_21577`
38×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
29×	`associate-r_binary64_21501`
28×	`associate-/l*_binary64_21506`
13×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595`
10×	`prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
8×	`pow1_binary64_21622`
6×	`associate-l_binary64_21502` `div-inv_binary64_21558`
4×	`add-log-exp_binary64_21600` `associate-/r*_binary64_21505`
2×	`pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `*-commutative_binary64_21492` `frac-2neg_binary64_21572` `clear-num_binary64_21560`
1×	`associate-*r/_binary64_21503` `associate-/l/_binary64_21508`

Counts

4 → 171

Calls

4 calls:

20.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))
9.0ms	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
6.0ms	(/.f64 (sqrt.f64 t) z)
4.0ms	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))

Compiler

Compiled 3717 to 1780 computations (52.1% saved)

series737.0ms (6.6%)

Error

1.0b

Counts

4 → 39

Calls

4 calls:

280.0ms	(.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (.f64 y 18)))
178.0ms	(/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18))
169.0ms	(.f64 1/3 (acos.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))
66.0ms	(/.f64 (sqrt.f64 t) z)

Compiler

Compiled 1674 to 1383 computations (17.4% saved)

simplify142.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5004	3395

prune201.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	207	4	211

Error

0.9b

Counts

211 → 4

Compiler

Compiled 3872 to 1780 computations (54% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
1.0b	(cbrt.f64 (exp.f64 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
2.9b	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
4.0b	(/.f64 x (*.f64 z y))

rewrite137.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

32×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
16×	`add-sqr-sqrt_binary64_21583`
13×	`prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
12×	`add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
11×	`pow1_binary64_21622`
9×	`associate-l_binary64_21502`
8×	`associate-r_binary64_21501`
6×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `times-frac_binary64_21567`
4×	`add-log-exp_binary64_21600` `pow-prod-down_binary64_21632` `sqrt-prod_binary64_21577`
3×	`associate-/l_binary64_21506` `associate-r/_binary64_21503` `cbrt-prod_binary64_21592`
2×	`div-inv_binary64_21558` `unswap-sqr_binary64_21529` `*-commutative_binary64_21492`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-/r*_binary64_21505` `pow1/3_binary64_21643` `acos-asin_binary64_21742` `exp-diff_binary64_21609` `cbrt-div_binary64_21593`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
9.0ms	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
5.0ms	(/.f64 x (*.f64 z y))
2.0ms	(cbrt.f64 (exp.f64 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))

Compiler

Compiled 1891 to 845 computations (55.3% saved)

series1.5s (13.1%)

Error

0.9b

Counts

4 → 45

Calls

4 calls:

759.0ms	(cbrt.f64 (exp.f64 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
298.0ms	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
229.0ms	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
129.0ms	(/.f64 x (*.f64 z y))

Compiler

Compiled 2002 to 1629 computations (18.6% saved)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5440	1984

prune130.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Error

0.9b

Counts

136 → 4

Compiler

Compiled 2290 to 1090 computations (52.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
1.0b	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (.f64 z y))))))
2.9b	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
4.0b	(/.f64 x (*.f64 z y))

rewrite128.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

34×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
19×	`add-sqr-sqrt_binary64_21583`
14×	`prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
13×	`pow1_binary64_21622` `add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
12×	`associate-l_binary64_21502`
11×	`associate-r_binary64_21501`
6×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `times-frac_binary64_21567`
5×	`pow-prod-down_binary64_21632`
4×	`add-log-exp_binary64_21600` `sqrt-prod_binary64_21577`
3×	`associate-/l_binary64_21506` `unswap-sqr_binary64_21529` `associate-r/_binary64_21503` `*-commutative_binary64_21492`
2×	`div-inv_binary64_21558`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-/r*_binary64_21505`

Counts

4 → 93

Calls

4 calls:

10.0ms	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
9.0ms	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
5.0ms	(/.f64 x (*.f64 z y))
4.0ms	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (.f64 z y))))))

Compiler

Compiled 1934 to 816 computations (57.8% saved)

series845.0ms (7.6%)

Error

0.9b

Counts

4 → 45

Calls

4 calls:

282.0ms	(.f64 (sqrt.f64 t) (/.f64 x (.f64 z y)))
253.0ms	(.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
140.0ms	(/.f64 x (*.f64 z y))
134.0ms	(.f64 1/3 (acos.f64 (.f64 1/18 (.f64 (sqrt.f64 t) (/.f64 x (.f64 z y))))))

Compiler

Compiled 1831 to 1458 computations (20.4% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5456	2068

prune124.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	138	4	142

Error

0.9b

Counts

142 → 4

Compiler

Compiled 2263 to 999 computations (55.9% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(exp.f64 PI.f64)
1.0b	(cbrt.f64 (sqrt.f64 (exp.f64 PI.f64)))
2.9b	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
4.0b	(/.f64 x (*.f64 z y))

rewrite122.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

18×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
17×	`add-sqr-sqrt_binary64_21583`
13×	`add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
7×	`sqrt-prod_binary64_21577` `associate-l_binary64_21502`
6×	`pow1_binary64_21622` `times-frac_binary64_21567` `associate-r_binary64_21501` `cbrt-prod_binary64_21592`
5×	`prod-exp_binary64_21610` `add-log-exp_binary64_21600` `cbrt-unprod_binary64_21594`
4×	`div-exp_binary64_21612` `cbrt-undiv_binary64_21595`
3×	`associate-/l*_binary64_21506` `exp-prod_binary64_21613`
2×	`div-inv_binary64_21558` `unswap-sqr_binary64_21529`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `associate-/r_binary64_21505` `pow-prod-down_binary64_21632` `associate-l/_binary64_21504` `*-commutative_binary64_21492` `pow1/3_binary64_21643` `rem-exp-log_binary64_21601`

Counts

4 → 77

Calls

4 calls:

13.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
5.0ms	(/.f64 x (*.f64 z y))
3.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 PI.f64)))
2.0ms	(exp.f64 PI.f64)

Compiler

Compiled 1926 to 796 computations (58.7% saved)

series462.0ms (4.2%)

Error

0.9b

Counts

4 → 21

Calls

4 calls:

306.0ms	(.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t))
135.0ms	(/.f64 x (*.f64 z y))
0.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 PI.f64)))
0.0ms	(exp.f64 PI.f64)

Compiler

Compiled 1232 to 985 computations (20% saved)

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4963	1107
1	4963	1107

prune121.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	98	4	102

Error

0.9b

Counts

102 → 4

Compiler

Compiled 2188 to 906 computations (58.6% saved)

regimes665.0ms (6%)

Accuracy

Total 0.7b remaining (40.7%)

Threshold costs 0.7b (40.7%)

Compiler

Compiled 4742 to 4222 computations (11% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	24
1	19	24

Compiler

Compiled 30 to 30 computations (0% saved)

end0.0ms (0%)

sample3.4s (30.7%)

Algorithm

1×

intervals

Results

856.0ms	10346×	body	128	nan
711.0ms	8000×	body	128	valid

Compiler

Compiled 404 to 364 computations (9.9% saved)

Details

analyze1.6s (14.7%)

sample117.0ms (1.1%)

simplify118.0ms (1.1%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite260.0ms (2.3%)

series737.0ms (6.6%)

simplify142.0ms (1.3%)

prune201.0ms (1.8%)

localize13.0ms (0.1%)

rewrite137.0ms (1.2%)

series1.5s (13.1%)

simplify46.0ms (0.4%)

prune130.0ms (1.2%)

localize11.0ms (0.1%)

rewrite128.0ms (1.2%)

series845.0ms (7.6%)

simplify59.0ms (0.5%)

prune124.0ms (1.1%)

localize18.0ms (0.2%)

rewrite122.0ms (1.1%)

series462.0ms (4.2%)

simplify123.0ms (1.1%)

prune121.0ms (1.1%)

regimes665.0ms (6%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample3.4s (30.7%)

Profiling