Details

Time bar (total: 4.8s)

analyze338.0ms (7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample56.0ms (1.2%)

Algorithm
intervals
Results
15.0ms63×body1024invalid
9.0ms189×body128valid
6.0ms21×body1024valid
5.0ms35×body512invalid
5.0ms31×body512valid
2.0ms28×body128invalid
2.0ms15×body256invalid
2.0ms15×body256valid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify220.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
0493611
1493611

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
12.1b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_15251 add-exp-log_binary64_15253
add-sqr-sqrt_binary64_15237
*-un-lft-identity_binary64_15215 add-cube-cbrt_binary64_15250
pow1_binary64_15276
associate-*l*_binary64_15156 associate-*r*_binary64_15155 sinh-def_binary64_15400 times-frac_binary64_15221 add-log-exp_binary64_15254 associate-/r*_binary64_15159
cbrt-unprod_binary64_15248 associate-*r/_binary64_15157 prod-exp_binary64_15264 cbrt-undiv_binary64_15249 div-exp_binary64_15266
associate-/l*_binary64_15160 unswap-sqr_binary64_15183 frac-2neg_binary64_15226 div-inv_binary64_15212 associate-/l/_binary64_15162 clear-num_binary64_15214 pow-prod-down_binary64_15286 *-commutative_binary64_15146
Counts
3 → 49
Calls

3 calls:

6.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
6.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms
(sinh.f64 y)

series420.0ms (8.7%)

Counts
3 → 9
Calls

3 calls:

195.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
152.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
72.0ms
(sinh.f64 y)

simplify54.0ms (1.1%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05565673

prune134.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New51758
Fresh000
Picked101
Done000
Total52759

Merged error: 0b

Counts
59 → 7
Compiler

Compiled 1811 to 1009 computations (44.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(/.f64 (sinh.f64 y) x)
0.2b
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite18.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_15237
19×*-un-lft-identity_binary64_15215 times-frac_binary64_15221 add-cube-cbrt_binary64_15250
13×associate-*r*_binary64_15155
10×add-cbrt-cube_binary64_15251 add-exp-log_binary64_15253
pow1_binary64_15276
associate-/l*_binary64_15160 associate-*l*_binary64_15156 add-log-exp_binary64_15254 associate-/r*_binary64_15159
unswap-sqr_binary64_15183 cbrt-unprod_binary64_15248 div-inv_binary64_15212 sinh-def_binary64_15400 prod-exp_binary64_15264 cbrt-undiv_binary64_15249 div-exp_binary64_15266
frac-2neg_binary64_15226 associate-*r/_binary64_15157 associate-/l/_binary64_15162 clear-num_binary64_15214 pow-prod-down_binary64_15286 *-commutative_binary64_15146
Counts
3 → 68
Calls

3 calls:

8.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
4.0ms
(/.f64 (sinh.f64 y) x)
1.0ms
(sinh.f64 y)

series393.0ms (8.1%)

Counts
3 → 9
Calls

3 calls:

187.0ms
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
131.0ms
(/.f64 (sinh.f64 y) x)
75.0ms
(sinh.f64 y)

simplify66.0ms (1.4%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
059121011

prune67.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done000
Total77784

Merged error: 0b

Counts
84 → 7
Compiler

Compiled 1221 to 432 computations (64.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.0b
(/.f64 x (sinh.f64 y))
1.0b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite22.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
87×times-frac_binary64_15221
54×add-sqr-sqrt_binary64_15237 *-un-lft-identity_binary64_15215 add-cube-cbrt_binary64_15250
17×associate-/r*_binary64_15159
10×add-cbrt-cube_binary64_15251 add-exp-log_binary64_15253
associate-/l*_binary64_15160 associate-/r/_binary64_15161 div-inv_binary64_15212 sinh-def_binary64_15400
cbrt-undiv_binary64_15249 div-exp_binary64_15266
pow1_binary64_15276 add-log-exp_binary64_15254
frac-2neg_binary64_15226 clear-num_binary64_15214
Counts
3 → 110
Calls

3 calls:

8.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
4.0ms
(/.f64 x (sinh.f64 y))
1.0ms
(sinh.f64 y)

series531.0ms (11%)

Counts
3 → 9
Calls

3 calls:

252.0ms
(/.f64 x (sinh.f64 y))
197.0ms
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
82.0ms
(sinh.f64 y)

simplify77.0ms (1.6%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049202253
149202253

prune97.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh145
Picked101
Done101
Total1215126

Merged error: 0b

Counts
126 → 5
Compiler

Compiled 1988 to 530 computations (73.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 y)
0.1b
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b
(/.f64 (sin.f64 x) x)

rewrite17.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_15237
19×*-un-lft-identity_binary64_15215 times-frac_binary64_15221 add-cube-cbrt_binary64_15250
13×associate-*l*_binary64_15156
10×add-cbrt-cube_binary64_15251 add-exp-log_binary64_15253
pow1_binary64_15276
associate-/l*_binary64_15160 associate-*r*_binary64_15155 sinh-def_binary64_15400 add-log-exp_binary64_15254 associate-/r*_binary64_15159
unswap-sqr_binary64_15183 cbrt-unprod_binary64_15248 div-inv_binary64_15212 prod-exp_binary64_15264 cbrt-undiv_binary64_15249 div-exp_binary64_15266
associate-*l/_binary64_15158 frac-2neg_binary64_15226 associate-*r/_binary64_15157 clear-num_binary64_15214 pow-prod-down_binary64_15286 *-commutative_binary64_15146 frac-times_binary64_15225
Counts
3 → 69
Calls

3 calls:

8.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms
(/.f64 (sin.f64 x) x)
1.0ms
(sinh.f64 y)

series312.0ms (6.5%)

Counts
3 → 9
Calls

3 calls:

202.0ms
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
68.0ms
(sinh.f64 y)
41.0ms
(/.f64 (sin.f64 x) x)

simplify65.0ms (1.3%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
056081001

prune44.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done000
Total78583

Merged error: 0b

Counts
83 → 5
Compiler

Compiled 990 to 245 computations (75.3% saved)

regimes51.0ms (1.1%)

Compiler

Compiled 242 to 182 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
1811

end0.0ms (0%)

sample1.8s (37.2%)

Algorithm
intervals
Results
492.0ms1996×body1024invalid
310.0ms6248×body128valid
183.0ms633×body1024valid
151.0ms919×body512invalid
111.0ms685×body512valid
52.0ms481×body256invalid
52.0ms756×body128invalid
46.0ms434×body256valid
Compiler

Compiled 77 to 60 computations (22.1% saved)

Profiling

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