Details

analyze345.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12
99.6%	0.3%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 30 to 27 computations (10% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify253.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4793	25
1	4793	25

prune6.0ms (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: 0.0b

Counts

2 → 2

Compiler

Compiled 109 to 100 computations (8.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite247.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64_1117`
393×	`*-un-lft-identity_binary64_1111`
299×	`cancel-sign-sub-inv_binary64_1077`
278×	`add-sqr-sqrt_binary64_1133`
211×	`add-cube-cbrt_binary64_1146`
104×	`distribute-lft-out_binary64_1062`
78×	`div-inv_binary64_1108`
72×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
24×	`difference-of-squares_binary64_1080`
11×	`pow1_binary64_1172`
10×	`add-log-exp_binary64_1150` `distribute-lft-out--_binary64_1063` `associate-/r/_binary64_1057`
9×	`flip3--_binary64_1115` `swap-sqr_binary64_1078` `flip--_binary64_1086`
7×	`associate-r_binary64_1051` `associate-l_binary64_1052`
6×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
5×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `sub-neg_binary64_1104`
4×	`frac-times_binary64_1121`
3×	`diff-log_binary64_1203`
2×	`associate-l/_binary64_1054` `associate-r/_binary64_1053`
1×	`*-commutative_binary64_1042` `pow-prod-up_binary64_1181` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-plus_binary64_1174` `pow-sqr_binary64_1084` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079` `pow2_binary64_1192`

Counts

4 → 397

Calls

4 calls:

80.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
39.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
36.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
11.0ms	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

series147.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
35.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
26.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
25.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify181.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

409 → 409

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4984	19691
1	4984	19691

prune2.0s (31.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	407	2	409
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	408	3	411

Merged error: 0b

Counts

411 → 3

Compiler

Compiled 18996 to 15994 computations (15.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 2 t))
0.5b	(cbrt.f64 (/.f64 2 t))
3.2b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
21.1b	(+.f64 2 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (/.f64 2 t)))) (/.f64 (cbrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t)))))

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`times-frac_binary64_1117`
108×	`*-un-lft-identity_binary64_1111`
76×	`add-sqr-sqrt_binary64_1133`
71×	`cancel-sign-sub-inv_binary64_1077`
67×	`add-cube-cbrt_binary64_1146`
26×	`cbrt-prod_binary64_1142` `distribute-lft-out_binary64_1062`
21×	`div-inv_binary64_1108`
8×	`add-log-exp_binary64_1150`
4×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
3×	`difference-of-squares_binary64_1080`
2×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `flip3-+_binary64_1114` `cbrt-div_binary64_1143` `associate-/r/_binary64_1057`
1×	`flip3--_binary64_1115` `diff-log_binary64_1203` `+-commutative_binary64_1041` `unsub-neg_binary64_1105` `sum-log_binary64_1202` `distribute-lft-neg-out_binary64_1070` `sub-neg_binary64_1104` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086`

Counts

4 → 142

Calls

4 calls:

39.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
4.0ms	(+.f64 2 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (/.f64 2 t)))) (/.f64 (cbrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t)))))
3.0ms	(cbrt.f64 (/.f64 2 t))
3.0ms	(cbrt.f64 (/.f64 2 t))

series433.0ms (7%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt.f64 (/.f64 2 t))
168.0ms	(cbrt.f64 (/.f64 2 t))
64.0ms	(+.f64 2 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 2 t)) (cbrt.f64 (/.f64 2 t)))) (/.f64 (cbrt.f64 (/.f64 2 t)) (+.f64 1 (/.f64 1 t)))))
29.0ms	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	3331
1	4980	3331

prune501.0ms (8.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	154	3	157

Merged error: 0b

Counts

157 → 3

Compiler

Compiled 7340 to 6161 computations (16.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0b	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(/.f64 4 (+.f64 1 t))
0.0b	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

rewrite91.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_1111`
41×	`add-sqr-sqrt_binary64_1133`
40×	`times-frac_binary64_1117`
30×	`add-cube-cbrt_binary64_1146`
18×	`cancel-sign-sub-inv_binary64_1077`
12×	`distribute-lft-out_binary64_1062`
10×	`add-exp-log_binary64_1149`
8×	`add-cbrt-cube_binary64_1147` `associate-/r*_binary64_1055` `add-log-exp_binary64_1150`
6×	`associate-/l*_binary64_1056` `difference-of-squares_binary64_1080` `associate-/r/_binary64_1057`
5×	`pow1_binary64_1172`
4×	`div-inv_binary64_1108` `flip-+_binary64_1085` `flip3-+_binary64_1114`
3×	`div-exp_binary64_1162`
2×	`frac-2neg_binary64_1122` `cbrt-undiv_binary64_1145` `clear-num_binary64_1110` `distribute-lft-out--_binary64_1063`
1×	`pow-flip_binary64_1185` `flip3--_binary64_1115` `diff-log_binary64_1203` `+-commutative_binary64_1041` `1-exp_binary64_1155` `rec-exp_binary64_1161` `sum-log_binary64_1202` `sub-neg_binary64_1104` `inv-pow_binary64_1196` `flip--_binary64_1086`

Counts

4 → 119

Calls

4 calls:

36.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
26.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
12.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
6.0ms	(/.f64 4 (+.f64 1 t))

series114.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
36.0ms	(/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
16.0ms	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
16.0ms	(/.f64 4 (+.f64 1 t))

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4764	3109
1	4764	3109

prune202.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	132	2	134

Merged error: 0b

Counts

134 → 2

Compiler

Compiled 3552 to 3127 computations (12% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0b	(-.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
0.0b	(/.f64 4 (+.f64 1 t))
0.5b	(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))

rewrite100.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_1111`
26×	`add-sqr-sqrt_binary64_1133`
20×	`add-cube-cbrt_binary64_1146`
14×	`log-prod_binary64_1197`
12×	`times-frac_binary64_1117` `exp-prod_binary64_1163`
10×	`exp-sum_binary64_1157` `distribute-neg-in_binary64_1072`
7×	`cancel-sign-sub-inv_binary64_1077` `add-log-exp_binary64_1150` `distribute-lft-out_binary64_1062` `pow1_binary64_1172` `add-exp-log_binary64_1149`
6×	`add-cbrt-cube_binary64_1147`
4×	`associate-/r*_binary64_1055` `difference-of-squares_binary64_1080` `distribute-lft-neg-in_binary64_1068` `distribute-rgt-neg-in_binary64_1069`
3×	`associate-/l*_binary64_1056` `log-pow_binary64_1200`
2×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `rem-exp-log_binary64_1151` `log-div_binary64_1198` `associate-/r/_binary64_1057`
1×	`div-inv_binary64_1108` `frac-2neg_binary64_1122` `exp-diff_binary64_1159` `flip3--_binary64_1115` `diff-log_binary64_1203` `neg-log_binary64_1204` `div-exp_binary64_1162` `neg-sub0_binary64_1106` `neg-mul-1_binary64_1107` `cbrt-undiv_binary64_1145` `exp-neg_binary64_1158` `rem-log-exp_binary64_1152` `sub-neg_binary64_1104` `clear-num_binary64_1110` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086`

Counts

4 → 98

Calls

4 calls:

29.0ms	(log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
29.0ms	(-.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
26.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
6.0ms	(/.f64 4 (+.f64 1 t))

series198.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

78.0ms	(-.f64 1 (exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))
65.0ms	(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))
39.0ms	(log.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
16.0ms	(/.f64 4 (+.f64 1 t))

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4799	2497
1	4799	2497

prune167.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

Compiler

Compiled 2894 to 2550 computations (11.9% saved)

regimes12.0ms (0.2%)

Compiler: Compiled 61 to 55 computations (9.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	61
1	124	61

end0.0ms (0%)

sample807.0ms (13%)

Algorithm

1×

intervals

Results

562.0ms

8000×

body

128

valid

Compiler

Compiled 129 to 116 computations (10.1% saved)

Details

analyze345.0ms (5.6%)

sample24.0ms (0.4%)

simplify253.0ms (4.1%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite247.0ms (4%)

series147.0ms (2.4%)

simplify181.0ms (2.9%)

prune2.0s (31.7%)

localize18.0ms (0.3%)

rewrite73.0ms (1.2%)

series433.0ms (7%)

simplify81.0ms (1.3%)

prune501.0ms (8.1%)

localize9.0ms (0.1%)

rewrite91.0ms (1.5%)

series114.0ms (1.8%)

simplify99.0ms (1.6%)

prune202.0ms (3.3%)

localize14.0ms (0.2%)

rewrite100.0ms (1.6%)

series198.0ms (3.2%)

simplify96.0ms (1.6%)

prune167.0ms (2.7%)

regimes12.0ms (0.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample807.0ms (13%)

Profiling