Details

Time bar (total: 4.5s)

sample28.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1157
2157

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
26.6b
(sqrt (+ (* re re) (* im im)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×expm1-log1p-u log-div flip3-+ div-sub flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num hypot-def div-inv
Counts
2 → 68
Calls
2 calls:
15.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify131.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232683
1597648
21428645
34416645
45001645

prune351.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (* 1 (hypot re im))) (log 10.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
20×times-frac
16×log-pow
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow-prod-down associate-/l*
4×associate-/r*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
8.0ms
(/ (log (* 1 (hypot re im))) (log 10.0))

series144.0ms

Counts
1 → 3
Calls
1 calls:
144.0ms
(/ (log (* 1 (hypot re im))) (log 10.0))

simplify380.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0116382
1285360
2782353
33063353
45001353

prune130.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
0.4b
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
113×times-frac
100×add-sqr-sqrt
67×sqrt-prod
63×pow1
60×*-un-lft-identity
54×add-cube-cbrt
44×log-pow
39×associate-*r*
26×add-exp-log
25×associate-*l*
16×pow-prod-down add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv associate-/l*
4×cbrt-unprod
3×div-inv
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num *-commutative
Counts
2 → 166
Calls
2 calls:
44.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
9.0ms
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

series366.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
217.0ms
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04492081
120001809
250021716

prune341.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
46×times-frac
41×*-un-lft-identity
39×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
21×log-prod
15×add-exp-log
12×pow1 unpow-prod-down
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
5×unswap-sqr
4×associate-*r* prod-exp sqr-pow
3×expm1-log1p-u rem-log-exp log1p-expm1-u add-log-exp
2×pow-to-exp div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2
Counts
3 → 128
Calls
3 calls:
2.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
21.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
4.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
3 → 9
Calls
3 calls:
319.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
371.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
348.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04431483
119461217
250021069

prune342.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample731.0ms

Algorithm
intervals
Results
576.0ms8000×body80valid