Details

analyze867.0ms (11.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample108.0ms (1.4%)

Algorithm

1×

intervals

Results

33.0ms	478×	body	80	nan
20.0ms	266×	body	80	invalid
19.0ms	256×	body	80	valid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5223	24

prune11.0ms (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

Merged error: 0.2b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
1.0b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.1b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64`
10×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`exp-prod_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 96

Calls

4 calls:

12.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series149.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
65.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(*.f64 y (log.f64 z))

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5354	1766

prune110.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

Compiler

Compiled 2618 to 1319 computations (49.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
1.0b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.1b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
5×	`pow-unpow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow-exp_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `unpow-prod-up_binary64` `unswap-sqr_binary64` `pow-sub_binary64` `e-exp-1_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series123.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
42.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(*.f64 y (log.f64 z))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5177	2339

prune103.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

Compiler

Compiled 3005 to 1447 computations (51.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))))
0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
1.1b	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b)))) y)
1.7b	(pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-exp-log_binary64`
51×	`prod-exp_binary64`
22×	`pow-exp_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`add-cbrt-cube_binary64`
18×	`*-un-lft-identity_binary64`
15×	`pow-to-exp_binary64` `add-cube-cbrt_binary64`
14×	`div-exp_binary64`
12×	`log-prod_binary64`
10×	`pow1_binary64` `associate-l_binary64`
7×	`cbrt-unprod_binary64` `unpow-prod-up_binary64` `e-exp-1_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `cbrt-undiv_binary64` `pow-sub_binary64` `unpow-prod-down_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `difference-of-squares_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `pow-pow_binary64` `log-pow_binary64` `difference-of-sqr-1_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 121

Calls

4 calls:

11.0ms	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b)))) y)
10.0ms	(.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))))
8.0ms	(pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))

series171.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(/.f64 (.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b)))) y)
65.0ms	(.f64 x (.f64 (pow.f64 z y) (pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))))
18.0ms	(pow.f64 E.f64 (-.f64 (*.f64 (-.f64 t 1) (log.f64 a)) b))
9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5228	2776

prune111.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	133	8	141

Merged error: 0.0b

Counts

141 → 8

Compiler

Compiled 3027 to 1451 computations (52.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
0.2b	(pow.f64 a (-.f64 t 1))
0.2b	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
1.0b	(.f64 x (.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))))

rewrite63.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

105×	`add-sqr-sqrt_binary64`
97×	`add-exp-log_binary64`
93×	`times-frac_binary64`
56×	`*-un-lft-identity_binary64`
53×	`add-cube-cbrt_binary64`
51×	`div-exp_binary64`
49×	`prod-exp_binary64`
41×	`unpow-prod-down_binary64`
36×	`add-cbrt-cube_binary64`
29×	`associate-r_binary64`
28×	`associate-l_binary64`
19×	`sqr-pow_binary64`
18×	`pow-to-exp_binary64` `pow-exp_binary64`
16×	`unswap-sqr_binary64`
13×	`cbrt-unprod_binary64`
12×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
8×	`sub-neg_binary64` `unpow-prod-up_binary64` `associate-/l*_binary64`
7×	`pow-unpow_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`associate-/r*_binary64` `div-inv_binary64`
2×	`pow-sub_binary64` `difference-of-squares_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 213

Calls

4 calls:

23.0ms	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
15.0ms	(.f64 x (.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))))
7.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
6.0ms	(pow.f64 a (-.f64 t 1))

series186.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(*.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
72.0ms	(.f64 x (.f64 (/.f64 (pow.f64 z y) y) (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))))
20.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
11.0ms	(pow.f64 a (-.f64 t 1))

simplify140.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5013	5362

prune223.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	1	4	5
Picked	1	0	1
Done	1	1	2
Total	226	7	233

Merged error: 0.0b

Counts

233 → 7

Compiler

Compiled 5315 to 2265 computations (57.4% saved)

regimes722.0ms (9.3%)

Compiler: Compiled 1713 to 1512 computations (11.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	28
1	45	28

end0.0ms (0%)

sample4.2s (53.9%)

Algorithm

1×

intervals

Results

967.0ms	14555×	body	80	nan
638.0ms	8000×	body	80	valid
572.0ms	7359×	body	80	invalid

Compiler

Compiled 247 to 204 computations (17.4% saved)

Details

analyze867.0ms (11.2%)

sample108.0ms (1.4%)

simplify75.0ms (1%)

prune11.0ms (0.1%)

localize18.0ms (0.2%)

rewrite36.0ms (0.5%)

series149.0ms (1.9%)

simplify78.0ms (1%)

prune110.0ms (1.4%)

localize16.0ms (0.2%)

rewrite31.0ms (0.4%)

series123.0ms (1.6%)

simplify59.0ms (0.8%)

prune103.0ms (1.3%)

localize18.0ms (0.2%)

rewrite41.0ms (0.5%)

series171.0ms (2.2%)

simplify89.0ms (1.2%)

prune111.0ms (1.4%)

localize13.0ms (0.2%)

rewrite63.0ms (0.8%)

series186.0ms (2.4%)

simplify140.0ms (1.8%)

prune223.0ms (2.9%)

regimes722.0ms (9.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample4.2s (53.9%)

Profiling