Details

Time bar (total: 6.5s)

sample31.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify4.0ms

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: 29.0b

localize10.0ms

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)))

rewrite17.0ms

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:
11.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify123.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (116.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune194.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
27.8b
(log (+ (* re re) (* im im)))

rewrite53.0ms

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

series363.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
177.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
47.0ms
(log (+ (* re re) (* im im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05282086
120651915
250011832

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
14.6b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
14.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite40.0ms

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:
24.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
5.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
6.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.1s

Counts
3 → 9
Calls
3 calls:
533.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
293.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
307.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04631699
119901501
250011310

prune323.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 4 expressions with local error:

14.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
14.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
14.8b
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
14.8b
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
38×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×sqrt-prod
14×cbrt-prod
12×pow1 unpow-prod-down
6×add-exp-log log-pow
4×add-cbrt-cube add-log-exp sqr-pow
2×pow-to-exp pow-pow pow1/3 pow-exp div-inv
Counts
4 → 108
Calls
4 calls:
6.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
4.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
4.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
308.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
305.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
465.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
461.0ms
(cbrt (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
02521246
18041166
226531068
350011068

prune486.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.9b

regimes397.0ms

Accuracy

53.5% (11.6b remaining)

Error of 18.8b against oracle of 7.2b and baseline of 32.2b

bsearch190.0ms

Steps
ItersRangePoint
6
8462627490419.662
45942997956519.67
45288348782303.586
9
-3.3653750376489624e-125
-4.187437093510799e-132
-3.312429260003495e-125
9
-2.660191539110354e-86
-6.01839662165218e-93
-6.1011105261268675e-93
7
-6.9458542767114855e+72
-3.389344739003144e+71
-6.884691467287527e+72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05956
15956

end0.0ms

sample771.0ms

Algorithm
intervals
Results
623.0ms8000×body80valid