Details

Time bar (total: 20.2s)

sample108.0ms

Algorithm
intervals
Results
38.0ms383×body80valid
35.0ms388×body80nan

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02024
13724
28424
323724
451024
593724
6185824
7375924
done500024

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 0.5) (log x))
0.1b
(- (* (- x 0.5) (log x)) x)
0.1b
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×log-prod
12×associate--l+
11×add-log-exp
9×distribute-rgt-in distribute-lft-in times-frac
8×add-exp-log associate-+l+ add-cbrt-cube
7×pow1
5×associate-*l*
4×associate-*r*
3×associate-/r* associate-/l*
2×sub-neg flip3-- flip3-+ diff-log associate-*l/ sum-log flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg div-exp pow-prod-down prod-exp clear-num log-pow *-commutative cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
41.0ms
(* (- x 0.5) (log x))
18.0ms
(- (* (- x 0.5) (log x)) x)
121.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
61.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts
4 → 12
Calls
4 calls:
420.0ms
(* (- x 0.5) (log x))
746.0ms
(- (* (- x 0.5) (log x)) x)
740.0ms
(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
105.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify3.0s

Counts
110 → 110
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02131655
15011589
214061469
348801419
done50001419

prune601.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite84.0ms

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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
77.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt x)
310.0ms
(cbrt x)
303.0ms
(cbrt x)
138.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify978.0ms

Counts
74 → 74
Iterations

Useful iterations: 3 (437.0ms)

IterNodesCost
097893
1214870
2590790
31830761
done5001761

prune478.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
4.9b
(pow x 1/3)
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-exp-log
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp
3×unpow-prod-down pow-unpow associate-/r* associate-/l*
2×pow1/3 associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ unpow1/3 div-exp pow-exp clear-num flip-+ div-inv sqr-pow
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow x 1/3)
57.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series991.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt x)
282.0ms
(cbrt x)
276.0ms
(pow x 1/3)
124.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124946
1272879
2690810
32147777
done5001773

prune447.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
0.2b
(- (* (log (sqrt x)) (- x 0.5)) x)
0.3b
(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
5.2b
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
18×associate-+l+ *-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
12×log-prod
10×distribute-rgt-in distribute-lft-in
9×times-frac
8×associate--l+
7×sum-log
6×add-exp-log sub-neg sqrt-prod add-cbrt-cube
5×flip3-+ flip-+
4×pow1 associate-*l/ frac-add
3×flip3-- diff-log associate-/r* flip-- associate-/l*
2×+-commutative associate-+l- associate-/l/
1×cbrt-undiv associate-+r- associate-+r+ frac-2neg div-exp clear-num div-inv distribute-lft-out
Counts
4 → 96
Calls
4 calls:
59.0ms
(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
14.0ms
(- (* (log (sqrt x)) (- x 0.5)) x)
143.0ms
(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
75.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series734.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467)
235.0ms
(- (* (log (sqrt x)) (- x 0.5)) x)
197.0ms
(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
94.0ms
(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02432471
16842364
222792181
done50022135

prune604.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

regimes9.0ms