Details

Time bar (total: 3.6s)

analyze5.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.0b
(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

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:
10.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify114.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (106.0ms)

IterNodesCost
0224668
1555635
21317630
33981628
45001627

prune146.0ms

Filtered
45 candidates to 69 candidates (-53.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New551469
Fresh000
Picked101
Done000
Total561470

Merged error: 7.2b

Counts
70 → 14

localize14.0ms

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)))
30.1b
(log (+ (* re re) (* im im)))

rewrite38.0ms

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:
21.0ms
(* (/ 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)))
3.0ms
(log (+ (* re re) (* im im)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (/ 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)))
9.0ms
(log (+ (* re re) (* im im)))

simplify62.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05282102
121321937
250011838

prune303.0ms

Filtered
96 candidates to 162 candidates (-68.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1539162
Fresh8513
Picked101
Done000
Total16214176

Merged error: 7.0b

Counts
176 → 14

localize18.0ms

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))))))
14.2b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
17.2b
(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:
11.0ms
(* (/ 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)))))
9.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series112.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
35.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
34.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04781721
121131522
250011321

prune296.0ms

Filtered
82 candidates to 126 candidates (-53.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh01313
Picked011
Done000
Total12416140

Merged error: 7.0b

Counts
140 → 16

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)))
30.1b
(log (+ (* re re) (* im im)))

rewrite71.0ms

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:
31.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
19.0ms
(* (/ (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)))
3.0ms
(log (+ (* re re) (* im im)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
27.0ms
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
21.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
13.0ms
(log (+ (* re re) (* im im)))

simplify110.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08703899
144763381
250023247

prune458.0ms

Filtered
142 candidates to 257 candidates (-81.0%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2516257
Fresh31114
Picked101
Done011
Total25518273

Merged error: 7.0b

Counts
273 → 18

regimes874.0ms

Accuracy

58.2% (10.2b remaining)

Error of 17.4b against oracle of 7.2b and baseline of 31.7b

bsearch76.0ms

Steps
ItersRangePoint
9
4.902218473268675e+76
3.7483219826746768e+81
3.71815615696661e+81
10
-7.229721629181878e+23
-25934313.027761143
-7.068422556416171e+23

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04934
15134
25134

end0.0ms

analyze5.0ms

Algorithm
search

sample604.0ms

Algorithm
intervals
Results
470.0ms8000×body80valid

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