Details

Time bar (total: 4.9s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.1b
(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

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×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify137.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (129.0ms)

IterNodesCost
0221664
1556631
21309628
34251628
45001627

prune181.0ms

Filtered
69 candidates to 45 candidates (65.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New561369
Fresh000
Picked101
Done000
Total571370

Merged error: 6.8b

Counts
70 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 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)))
29.2b
(log (+ (* re re) (* im im)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
23.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
9.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series369.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
184.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
50.0ms
(log (+ (* re re) (* im im)))

simplify66.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05282080
120811913
250011831

prune332.0ms

Filtered
162 candidates to 93 candidates (57.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1548162
Fresh8412
Picked101
Done000
Total16312175

Merged error: 6.7b

Counts
175 → 12

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
11.7b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
18.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
13.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series968.0ms

Counts
3 → 9
Calls
3 calls:
384.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
282.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
301.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify57.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04631699
119901501
250011310

prune299.0ms

Filtered
126 candidates to 79 candidates (62.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh01111
Picked011
Done000
Total12315138

Merged error: 6.7b

Counts
138 → 15

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 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)))
29.2b
(log (+ (* re re) (* im im)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
131×add-sqr-sqrt
107×sqrt-prod
79×add-cube-cbrt *-un-lft-identity
78×add-exp-log
68×associate-*l*
59×add-cbrt-cube
42×pow1
33×associate-*r*
31×prod-exp log-pow
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
15×unswap-sqr
7×associate-/r*
6×frac-times associate-*r/
5×1-exp
4×log-div pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp
3×log-prod
2×flip3-+ div-sub *-commutative flip-+
1×frac-2neg rem-log-exp clear-num
Counts
4 → 245
Calls
4 calls:
37.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
18.0ms
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
224.0ms
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
185.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
51.0ms
(log (+ (* re re) (* im im)))

simplify111.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08883875
145943353
250013219

prune517.0ms

Filtered
257 candidates to 142 candidates (55.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2507257
Fresh31013
Picked101
Done011
Total25418272

Merged error: 6.6b

Counts
272 → 18

regimes780.0ms

bsearch4.0ms

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