Details

Time bar (total: 4.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.2b
(sqrt (+ (* re re) (* im im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
7.0ms
(+ (* re re) (* im im))
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

series196.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* re re) (* im im))
133.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify101.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune219.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
29.1b
(log (+ (* re re) (* im im)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×add-cube-cbrt *-un-lft-identity
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×+-commutative frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 164
Calls
4 calls:
9.0ms
(+ (* re re) (* im im))
44.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
26.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* re re) (* im im))
142.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
190.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
48.0ms
(log (+ (* re re) (* im im)))

simplify71.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05632159
123951981
250021899

prune398.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
14.2b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
16.2b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
44×times-frac
40×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
13×pow1
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r* sqr-pow
3×rem-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv +-commutative pow-pow flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 128
Calls
4 calls:
8.0ms
(+ (* re re) (* im im))
39.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
11.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
13.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (* re re) (* im im))
384.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
285.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
312.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05541778
125191567
250021445

prune367.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
29.1b
(log (+ (* re re) (* im im)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
33×cbrt-prod
18×pow1
10×associate-/r* log-pow
8×sqrt-pow1
7×add-exp-log
6×associate-/l*
5×add-cbrt-cube
4×rem-sqrt-square pow1/2 add-log-exp
3×log-prod
2×log-div
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
10.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
2.0ms
(sqrt (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
6.0ms
(log (+ (* re re) (* im im)))

series53.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
53.0ms
(log (+ (* re re) (* im im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
02801323
16411272
216781195
350011183

prune381.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 6.4b

regimes530.0ms

Accuracy

57.8% (10.2b remaining)

Error of 17.4b against oracle of 7.2b and baseline of 31.3b

bsearch194.0ms

Steps
ItersRangePoint
9
1.0503009045500217e+63
8.52518331542308e+67
8.439330033545885e+67
9
3.200987433540928e-227
2.8505148529471227e-220
7.2262322389444365e-227
9
-4.394634857083432e-256
-8.20373527102732e-264
-4.4427102430001434e-260
10
-1.6617757044371328e+100
-1.4857531486065215e+87
-2.5924544535613553e+93

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06573
16573

end0.0ms

sample519.0ms

Algorithm
intervals
Results
336.0ms8000×body80valid