Details

analyze836.0ms (22.3%)

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

Symmetry

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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

3.1b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
4.6b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.8b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite103.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

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

Counts

3 → 76

Calls

3 calls:

7.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
6.0ms	(/.f64 (.f64 y t) (.f64 2 z))
5.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

Compiler

Compiled 1760 to 895 computations (49.1% saved)

series463.0ms (12.3%)

Error

Counts

3 → 45

Calls

3 calls:

171.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
145.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
120.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 1592 to 1172 computations (26.4% saved)

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5167	2067

prune98.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	121	2	123

Error

Counts

123 → 2

Compiler

Compiled 2094 to 920 computations (56.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
4.6b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
4.8b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite116.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_11353`
31×	`times-frac_binary64_11337`
25×	`add-cube-cbrt_binary64_11366` `*-un-lft-identity_binary64_11331`
17×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
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`
3×	`div-inv_binary64_11328` `associate-/l_binary64_11276` `associate-/r_binary64_11275`
2×	`flip3--_binary64_11335` `associate-/r/_binary64_11277` `flip--_binary64_11306`
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` `cancel-sign-sub-inv_binary64_11297`

Counts

3 → 91

Calls

3 calls:

14.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
5.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
3.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))

Compiler

Compiled 2062 to 1043 computations (49.4% saved)

series470.0ms (12.5%)

Error

Counts

3 → 45

Calls

3 calls:

169.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
150.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
125.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

Compiler

Compiled 1592 to 1172 computations (26.4% saved)

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4951	2200
1	4951	2200

prune107.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	136	2	138

Error

Counts

138 → 2

Compiler

Compiled 2415 to 1088 computations (54.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_11353`
13×	`associate-r_binary64_11271`
10×	`times-frac_binary64_11337`
9×	`add-cube-cbrt_binary64_11366` `*-un-lft-identity_binary64_11331`
6×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
3×	`pow1_binary64_11392` `associate-l_binary64_11272`
2×	`prod-exp_binary64_11380` `cbrt-unprod_binary64_11364` `unswap-sqr_binary64_11299`
1×	`pow-prod-down_binary64_11402` `div-exp_binary64_11382` `add-log-exp_binary64_11370` `cbrt-undiv_binary64_11365` `associate-r/_binary64_11273` `div-inv_binary64_11328` `-commutative_binary64_11262`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 437 to 228 computations (47.8% saved)

series55.0ms (1.5%)

Error

Counts

1 → 6

Calls

1 calls:

52.0ms

(*.f64 -2 (/.f64 z t))

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5300	369

prune25.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	38	2	40

Error

Counts

40 → 2

Compiler

Compiled 432 to 214 computations (50.5% saved)

regimes165.0ms (4.4%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 1470 to 1244 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

Removed

()

end0.0ms (0%)

sample957.0ms (25.5%)

Algorithm

1×

intervals

Results

373.0ms

8000×

body

128

valid

Compiler

Compiled 277 to 235 computations (15.2% saved)

Details

analyze836.0ms (22.3%)

sample23.0ms (0.6%)

simplify59.0ms (1.6%)

prune5.0ms (0.1%)

localize13.0ms (0.4%)

rewrite103.0ms (2.7%)

series463.0ms (12.3%)

simplify48.0ms (1.3%)

prune98.0ms (2.6%)

localize9.0ms (0.2%)

rewrite116.0ms (3.1%)

series470.0ms (12.5%)

simplify79.0ms (2.1%)

prune107.0ms (2.8%)

localize5.0ms (0.1%)

rewrite33.0ms (0.9%)

series55.0ms (1.5%)

simplify85.0ms (2.3%)

prune25.0ms (0.7%)

regimes165.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample957.0ms (25.5%)

Profiling