Details

analyze1.3s (13.4%)

Algorithm

1×

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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify255.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4869	19
1	4869	19

prune2.0ms (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

Merged error: 2.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
0.0b	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
7.5b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite130.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

417×	`*-un-lft-identity_binary64_18151`
373×	`times-frac_binary64_18157`
239×	`add-sqr-sqrt_binary64_18173`
152×	`add-cube-cbrt_binary64_18186`
100×	`cancel-sign-sub-inv_binary64_18117`
77×	`distribute-lft-out--_binary64_18103`
74×	`distribute-lft-out_binary64_18102`
42×	`difference-of-squares_binary64_18120`
22×	`associate-/r*_binary64_18095`
14×	`div-inv_binary64_18148`
10×	`associate-/l*_binary64_18096` `add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
5×	`add-log-exp_binary64_18190`
4×	`div-exp_binary64_18202` `associate-/l/_binary64_18098` `cbrt-undiv_binary64_18185`
3×	`pow1_binary64_18212` `div-sub_binary64_18156`
2×	`flip3--_binary64_18155` `flip--_binary64_18126` `clear-num_binary64_18150` `associate-/r/_binary64_18097` `frac-2neg_binary64_18162`
1×	`diff-log_binary64_18243` `associate--r-_binary64_18090` `flip-+_binary64_18125` `associate-+l-_binary64_18086` `sub-neg_binary64_18144` `flip3-+_binary64_18154`

Counts

3 → 291

Calls

3 calls:

53.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
28.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series381.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

178.0ms	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a)))
175.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
28.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5471	8521

prune376.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	295	5	300
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	295	6	301

Merged error: 0b

Counts

301 → 6

Compiler

Compiled 6868 to 2730 computations (60.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.8b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite49.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64_18151`
54×	`add-sqr-sqrt_binary64_18173`
51×	`times-frac_binary64_18157`
31×	`associate-l_binary64_18092`
27×	`add-cube-cbrt_binary64_18186`
22×	`distribute-lft-out_binary64_18102` `distribute-lft-out--_binary64_18103`
11×	`difference-of-squares_binary64_18120`
10×	`add-cbrt-cube_binary64_18187` `add-exp-log_binary64_18189`
5×	`pow1_binary64_18212` `associate-/l_binary64_18096` `add-log-exp_binary64_18190` `associate-/r_binary64_18095`
4×	`associate-/r/_binary64_18097`
3×	`associate-r_binary64_18091`
2×	`div-exp_binary64_18202` `div-inv_binary64_18148` `flip3--_binary64_18155` `associate-/l/_binary64_18098` `unswap-sqr_binary64_18119` `flip-+_binary64_18125` `flip--_binary64_18126` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185` `flip3-+_binary64_18154`
1×	`diff-log_binary64_18243` `associate-l/_binary64_18094` `pow-prod-down_binary64_18222` `-commutative_binary64_18082` `cancel-sign-sub-inv_binary64_18117` `sub-neg_binary64_18144` `clear-num_binary64_18150` `frac-2neg_binary64_18162` `div-sub_binary64_18156`

Counts

3 → 114

Calls

3 calls:

22.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
4.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))

series379.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

164.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)
141.0ms	(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a))
74.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5839	2442

prune115.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0b

Counts

129 → 6

Compiler

Compiled 2646 to 1165 computations (56% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (-.f64 t z) 1))
0.5b	(cbrt.f64 (+.f64 (-.f64 t z) 1))
0.5b	(cbrt.f64 (+.f64 (-.f64 t z) 1))
2.5b	(/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) (cbrt.f64 (+.f64 (-.f64 t z) 1)))) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))

rewrite222.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

1053×	`times-frac_binary64_18157`
678×	`*-un-lft-identity_binary64_18151`
393×	`add-sqr-sqrt_binary64_18173`
354×	`cbrt-div_binary64_18183`
335×	`add-cube-cbrt_binary64_18186`
285×	`cbrt-prod_binary64_18182`
233×	`associate-/r/_binary64_18097`
177×	`flip-+_binary64_18125` `flip3-+_binary64_18154`
116×	`frac-times_binary64_18161`
114×	`distribute-lft-out_binary64_18102`
86×	`distribute-lft-out--_binary64_18103`
58×	`associate-r/_binary64_18093` `associate-l/_binary64_18094`
48×	`div-inv_binary64_18148`
29×	`difference-of-squares_binary64_18120`
28×	`associate-/r*_binary64_18095`
25×	`add-exp-log_binary64_18189`
18×	`add-cbrt-cube_binary64_18187`
17×	`associate-/l*_binary64_18096`
13×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185`
4×	`pow1_binary64_18212` `add-log-exp_binary64_18190`
3×	`pow1/3_binary64_18233`
2×	`div-sub_binary64_18156` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
1×	`associate-/l/_binary64_18098` `clear-num_binary64_18150` `frac-2neg_binary64_18162`

Counts

4 → 591

Calls

4 calls:

54.0ms	(/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) (cbrt.f64 (+.f64 (-.f64 t z) 1)))) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))
7.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))
6.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))
6.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))

series391.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(/.f64 (/.f64 (-.f64 y z) (*.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) (cbrt.f64 (+.f64 (-.f64 t z) 1)))) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))
80.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))
74.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))
65.0ms	(cbrt.f64 (+.f64 (-.f64 t z) 1))

simplify410.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

603 → 603

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	6222	40828

prune2.1s (21.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	603	0	603
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	603	6	609

Merged error: 0b

Counts

609 → 6

Compiler

Compiled 29779 to 14606 computations (51% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
4.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (+.f64 (-.f64 t z) 1)) (*.f64 a (cbrt.f64 (-.f64 y z))))

rewrite52.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_18189`
20×	`*-un-lft-identity_binary64_18151`
18×	`add-cbrt-cube_binary64_18187`
15×	`cbrt-prod_binary64_18182` `add-sqr-sqrt_binary64_18173`
11×	`associate-l_binary64_18092` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
10×	`cbrt-div_binary64_18183`
9×	`pow1_binary64_18212` `add-cube-cbrt_binary64_18186`
6×	`associate-*r/_binary64_18093`
5×	`flip3--_binary64_18155` `times-frac_binary64_18157` `flip--_binary64_18126`
4×	`div-exp_binary64_18202` `distribute-lft-out--_binary64_18103` `add-log-exp_binary64_18190` `cbrt-undiv_binary64_18185`
3×	`pow-prod-down_binary64_18222` `pow1/3_binary64_18233` `difference-of-squares_binary64_18120`
2×	`distribute-lft-out_binary64_18102` `associate-/r/_binary64_18097` `frac-times_binary64_18161`
1×	`div-inv_binary64_18148` `associate-l/_binary64_18094` `-commutative_binary64_18082` `flip-+_binary64_18125` `associate-r_binary64_18091` `flip3-+_binary64_18154`

Counts

4 → 84

Calls

4 calls:

22.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (+.f64 (-.f64 t z) 1)) (*.f64 a (cbrt.f64 (-.f64 y z))))
6.0ms	(cbrt.f64 (-.f64 y z))
6.0ms	(cbrt.f64 (-.f64 y z))
5.0ms	(cbrt.f64 (-.f64 y z))

series535.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 y z)) (cbrt.f64 (-.f64 y z))) (+.f64 (-.f64 t z) 1)) (*.f64 a (cbrt.f64 (-.f64 y z))))
131.0ms	(cbrt.f64 (-.f64 y z))
128.0ms	(cbrt.f64 (-.f64 y z))
121.0ms	(cbrt.f64 (-.f64 y z))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4992	1698
1	4992	1698

prune94.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	96	6	102

Merged error: 0b

Counts

102 → 6

Compiler

Compiled 2635 to 881 computations (66.6% saved)

regimes823.0ms (8.3%)

Compiler: Compiled 8164 to 6028 computations (26.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	164	19
1	164	19

end0.0ms (0%)

sample1.9s (18.8%)

Algorithm

1×

intervals

Results

433.0ms	7998×	body	128	valid
26.0ms	518×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1166 to 862 computations (26.1% saved)

Details

analyze1.3s (13.4%)

sample22.0ms (0.2%)

simplify255.0ms (2.6%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite130.0ms (1.3%)

series381.0ms (3.9%)

simplify143.0ms (1.4%)

prune376.0ms (3.8%)

localize12.0ms (0.1%)

rewrite49.0ms (0.5%)

series379.0ms (3.8%)

simplify73.0ms (0.7%)

prune115.0ms (1.2%)

localize13.0ms (0.1%)

rewrite222.0ms (2.2%)

series391.0ms (3.9%)

simplify410.0ms (4.1%)

prune2.1s (21.6%)

localize13.0ms (0.1%)

rewrite52.0ms (0.5%)

series535.0ms (5.4%)

simplify71.0ms (0.7%)

prune94.0ms (1%)

regimes823.0ms (8.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (18.8%)

Profiling