Details

Time bar (total: 21.6s)

sample47.0ms

Algorithm
intervals
Results
27.0ms272×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
12517
23917
36417
411417
520117
640317
794617
8251517
done500117

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.2b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.6b
(/ (- (* y z) x) (- (* t z) x))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
25×times-frac
24×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
3×flip3-- fma-def flip3-+ prod-diff flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg fma-neg diff-log sum-log
Counts
4 → 113
Calls
4 calls:
18.0ms
(- (* t z) x)
76.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
166.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
44.0ms
(/ (- (* y z) x) (- (* t z) x))

series476.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* t z) x)
143.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
201.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
93.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify3.7s

Counts
125 → 125
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01822295
14542174
213082039
344982030
done50002030

prune519.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
3.4b
(fma (/ y (- (* t z) x)) z x)
3.4b
(/ x (- (* t z) x))
3.6b
(/ y (- (* t z) x))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×*-un-lft-identity
47×times-frac
32×add-cube-cbrt
12×associate-/l*
10×add-exp-log associate-/r* add-cbrt-cube difference-of-squares
7×distribute-lft-out
6×associate-/r/
5×distribute-lft-out--
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
2×associate-/l/
1×flip3-+ div-sub flip-+ fma-udef
Counts
4 → 125
Calls
4 calls:
153.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
0.0ms
(fma (/ y (- (* t z) x)) z x)
15.0ms
(/ x (- (* t z) x))
21.0ms
(/ y (- (* t z) x))

series378.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
87.0ms
(fma (/ y (- (* t z) x)) z x)
78.0ms
(/ x (- (* t z) x))
40.0ms
(/ y (- (* t z) x))

simplify3.0s

Counts
137 → 137
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02152892
14892833
212762663
334492657
done50002651

prune606.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- (* t z) x))
3.3b
(* x (/ 1 (- (* t z) x)))
3.4b
(fma (/ y (- (* t z) x)) z x)
3.6b
(/ y (- (* t z) x))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
29×*-un-lft-identity times-frac
28×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1
6×associate-/r* associate-/r/ associate-/l*
5×div-exp
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- associate-*l* flip-- div-inv unswap-sqr
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef inv-pow
Counts
4 → 116
Calls
4 calls:
18.0ms
(/ 1 (- (* t z) x))
54.0ms
(* x (/ 1 (- (* t z) x)))
0.0ms
(fma (/ y (- (* t z) x)) z x)
20.0ms
(/ y (- (* t z) x))

series243.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (- (* t z) x))
79.0ms
(* x (/ 1 (- (* t z) x)))
76.0ms
(fma (/ y (- (* t z) x)) z x)
44.0ms
(/ y (- (* t z) x))

simplify2.6s

Counts
128 → 128
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01601485
13481328
27791193
317881193
done50001189

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
9.6b
(/ (- (* y z) x) (- (* t z) x))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
38×add-sqr-sqrt
35×times-frac
31×add-cube-cbrt
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×distribute-lft-out
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-+ div-exp flip-+
4×expm1-log1p-u associate-*l* prod-exp log1p-expm1-u
3×cbrt-undiv fma-def div-inv unswap-sqr
2×frac-times rec-exp flip3-- frac-2neg 1-exp div-sub associate-*l/ clear-num flip-- cbrt-unprod associate-/l/
1×+-commutative associate-+r- pow-flip associate-*r/ pow-prod-down sum-log un-div-inv *-commutative inv-pow
Counts
4 → 139
Calls
4 calls:
12.0ms
(/ 1 (+ x 1.0))
66.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
326.0ms
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
40.0ms
(/ (- (* y z) x) (- (* t z) x))

series473.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1 (+ x 1.0))
114.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
209.0ms
(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
110.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.8s

Counts
151 → 151
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02062570
15372318
216712123
done50012118

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes280.0ms

bsearch2.0ms