Details

Time bar (total: 10.7s)

analyze2.8s (25.7%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
12.5%87.4%0.1%8
31.2%68.6%0.1%9
31.2%68.6%0.1%10
31.2%68.6%0.1%11
40.6%59.3%0.1%12
40.6%59.3%0.1%13
40.6%59.3%0.1%14
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample188.0ms (1.8%)

Algorithm
intervals
Results
95.0ms65×body1024valid
37.0ms148×body128valid
32.0ms34×body512valid
5.0msbody256valid
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify468.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (295.0ms)

IterNodesCost
0160450
1160450

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 60 to 36 computations (40% saved)

localize40.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (neg.f64 eh) (tan.f64 t))
4.4b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.4b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.5b
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite28.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
14×add-sqr-sqrt_binary64_2146
12×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
10×associate-*l*_binary64_2065
pow1_binary64_2185 associate-/r*_binary64_2068 times-frac_binary64_2130
cbrt-undiv_binary64_2158 distribute-lft-neg-out_binary64_2083 add-log-exp_binary64_2163 div-exp_binary64_2175
distribute-lft-neg-in_binary64_2081 distribute-rgt-neg-in_binary64_2082 prod-exp_binary64_2173 tan-quot_binary64_2283 associate-*r/_binary64_2066 associate-*r*_binary64_2064 distribute-frac-neg_binary64_2087 cbrt-unprod_binary64_2157
clear-num_binary64_2123 associate-/l*_binary64_2069 div-inv_binary64_2121 associate-/l/_binary64_2071 frac-2neg_binary64_2135
pow-prod-down_binary64_2195 unswap-sqr_binary64_2092 *-commutative_binary64_2055 cos-atan_binary64_2303 atan-neg_binary64_2308 cos-neg_binary64_2255 neg-mul-1_binary64_2120
Counts
4 → 82
Calls

4 calls:

6.0ms
(*.f64 (neg.f64 eh) (tan.f64 t))
6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series513.0ms (4.8%)

Counts
4 → 12
Calls

4 calls:

157.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
146.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
108.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
101.0ms
(*.f64 (neg.f64 eh) (tan.f64 t))

simplify88.0ms (0.8%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050041195

prune152.0ms (1.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New93194
Fresh000
Picked101
Done000
Total94195
Error
0.1b
Counts
95 → 1
Compiler

Compiled 3209 to 595 computations (81.5% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
4.4b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.4b
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.5b
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite49.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
14×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
12×cbrt-prod_binary64_2155
11×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
associate-/r*_binary64_2068 times-frac_binary64_2130
cbrt-undiv_binary64_2158 pow1_binary64_2185 add-log-exp_binary64_2163 div-exp_binary64_2175
distribute-lft-neg-out_binary64_2083 unpow-prod-down_binary64_2203 cube-prod_binary64_2152 distribute-frac-neg_binary64_2087
clear-num_binary64_2123 associate-/l*_binary64_2069 cos-atan_binary64_2303 prod-exp_binary64_2173 tan-quot_binary64_2283 associate-*r/_binary64_2066 div-inv_binary64_2121 associate-/l/_binary64_2071 cbrt-unprod_binary64_2157 frac-2neg_binary64_2135
unpow3_binary64_2190 cbrt-div_binary64_2156 cube-mult_binary64_2154 rem-cbrt-cube_binary64_2148 atan-neg_binary64_2308 cos-neg_binary64_2255 pow1/3_binary64_2206 sqr-pow_binary64_2096 cube-div_binary64_2153
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
11.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
3.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series461.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

177.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
122.0ms
(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
85.0ms
(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))) 3))
76.0ms
(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify77.0ms (0.7%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
053991484

prune172.0ms (1.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done000
Total89190
Error
0.1b
Counts
90 → 1
Compiler

Compiled 3294 to 743 computations (77.4% saved)

regimes133.0ms (1.2%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

Compiler

Compiled 904 to 608 computations (32.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09155
19155

end0.0ms (0%)

sample5.6s (51.9%)

Algorithm
intervals
Results
2.7s2030×body1024valid
1.0s4441×body128valid
873.0ms1009×body512valid
277.0ms514×body256valid
10.0msbody2048valid
Compiler

Compiled 220 to 147 computations (33.2% saved)

Profiling

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