Details

Time bar (total: 7.6s)

sample55.0ms

Algorithm
intervals
Results
19.0ms373×body80valid
15.0ms344×body80nan

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03712
18412
224512
358112
4128012
5246212
6500112

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b
(* (- x 0.5) (log x))
0.2b
(- (* (- x 0.5) (log x)) x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
12×log-prod
10×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×associate-*l*
7×associate-*r*
6×distribute-rgt-in distribute-lft-in associate--l+ add-log-exp
4×associate-*l/
3×flip3-- associate-/r* flip-- associate-/l*
2×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num log-pow flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
8.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
7.0ms
(* (- x 0.5) (log x))
7.0ms
(- (* (- x 0.5) (log x)) x)
11.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series792.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
250.0ms
(* (- x 0.5) (log x))
412.0ms
(- (* (- x 0.5) (log x)) x)
85.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0483811
11710730
25001724

prune376.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 62
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series636.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
182.0ms
(cbrt x)
181.0ms
(cbrt x)
87.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify99.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0212462
1697420
23321413
35001410

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.0b
(pow (/ 1 x) -1/3)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
13×unpow-prod-down
11×add-exp-log
6×pow1 cbrt-prod add-cbrt-cube
4×pow-exp add-log-exp
3×pow-unpow pow-pow div-exp associate-/r* associate-/l*
2×pow1/3 div-inv associate-/l/
1×cbrt-undiv pow-to-exp rec-exp pow-flip frac-2neg flip3-+ 1-exp clear-num flip-+ inv-pow sqr-pow
Counts
4 → 83
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
11.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
9.0ms
(pow (/ 1 x) -1/3)

series645.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
186.0ms
(cbrt x)
88.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
184.0ms
(pow (/ 1 x) -1/3)

simplify40.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0365578
11288520
25001507

prune487.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)
4.3b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×cbrt-prod associate-+l+
12×associate-+r+
9×times-frac
8×associate-*l/
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-- frac-add flip--
3×associate-/r* associate-/l*
2×flip3-+ pow1/3 flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 103
Calls
4 calls:
14.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
802.0ms
(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
178.0ms
(cbrt x)
187.0ms
(cbrt x)
86.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06241080
12446943
25001919

prune577.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

regimes331.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03924
13924

end0.0ms

sample1.6s

Algorithm
intervals
Results
584.0ms11655×body80valid
507.0ms11739×body80nan