Details

Time bar (total: 31.3s)

sample41.0ms

Algorithm
intervals
Results
14.0ms248×body80valid
3.0ms15×body640valid
3.0ms9×body1280valid
2.0ms14×body320valid
1.0ms9×body160valid
1.0ms2×body2560valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
01113
12013
24513
311612
432212
576612
6155512
7287312
8476112
done500012

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.8b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
65.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series295.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(/ (- y z) (- a z))
198.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0116918
1266890
2653838
31707834
done5001830

prune354.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.4b
(* (/ (- y z) (- a z)) (- t x))
2.5b
(+ (* (/ (- y z) (- a z)) (- t x)) x)

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
44.0ms
(/ (- y z) (- a z))
88.0ms
(* (/ (- y z) (- a z)) (- t x))
51.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

series1.0s

Counts
3 → 9
Calls
3 calls:
111.0ms
(/ (- y z) (- a z))
579.0ms
(* (/ (- y z) (- a z)) (- t x))
329.0ms
(+ (* (/ (- y z) (- a z)) (- t x)) x)

simplify1.6s

Counts
179 → 179
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02553085
16652718
219552494
done50012468

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a z))
0.0b
(/ z (- a z))
2.4b
(* (- (/ y (- a z)) (/ z (- a z))) (- t x))
2.5b
(+ (* (- (/ y (- a z)) (/ z (- a z))) (- t x)) x)

rewrite823.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
88×add-sqr-sqrt
52×add-cube-cbrt
48×times-frac
36×prod-diff
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×distribute-lft-out--
18×associate-*l*
15×difference-of-squares
12×flip3-- flip--
10×add-exp-log associate-/r* add-cbrt-cube
8×frac-times associate-/r/
6×pow1 associate-/l* add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg associate-*l/ log1p-expm1-u div-inv
3×distribute-rgt-out-- frac-sub sub-div
2×cbrt-undiv frac-2neg associate-*r/ div-exp clear-num
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 187
Calls
4 calls:
13.0ms
(/ y (- a z))
19.0ms
(/ z (- a z))
501.0ms
(* (- (/ y (- a z)) (/ z (- a z))) (- t x))
281.0ms
(+ (* (- (/ y (- a z)) (/ z (- a z))) (- t x)) x)

series795.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ y (- a z))
63.0ms
(/ z (- a z))
427.0ms
(* (- (/ y (- a z)) (/ z (- a z))) (- t x))
251.0ms
(+ (* (- (/ y (- a z)) (/ z (- a z))) (- t x)) x)

simplify1.6s

Counts
199 → 199
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03033818
16863397
221273179
done50003153

prune957.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a z))
0.0b
(/ z (- a z))
1.8b
(* t (- (/ y (- a z)) (/ z (- a z))))
4.2b
(fma (- x) (- (/ y (- a z)) (/ z (- a z))) x)

rewrite804.0ms

Algorithm
rewrite-expression-head
Rules
1330×*-un-lft-identity
1322×add-sqr-sqrt
1308×times-frac
882×prod-diff
784×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
272×distribute-lft-out--
266×difference-of-squares
176×associate-/r/
89×flip3-- flip--
88×div-inv
18×associate-*r*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 associate-/l*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×distribute-rgt-out-- associate-*l*
2×cbrt-undiv sub-neg frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod fma-udef sub-div unswap-sqr
Counts
4 → 1013
Calls
4 calls:
23.0ms
(/ z (- a z))
23.0ms
(/ z (- a z))
513.0ms
(* t (- (/ y (- a z)) (/ z (- a z))))
0.0ms
(fma (- x) (- (/ y (- a z)) (/ z (- a z))) x)

series438.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ z (- a z))
89.0ms
(/ z (- a z))
123.0ms
(* t (- (/ y (- a z)) (/ z (- a z))))
134.0ms
(fma (- x) (- (/ y (- a z)) (/ z (- a z))) x)

simplify4.3s

Counts
1025 → 1025
Iterations

Useful iterations: 2 (3.2s)

IterNodesCost
0126358666
1196452906
2397241044
done500041044

prune2.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

regimes396.0ms

Accuracy

20.4% (6.1b remaining)

Error of 9.5b against oracle of 3.4b and baseline of 11.0b

bsearch203.0ms

Steps
ItersRangePoint
10
2.886776670059465e-194
1.3374241406868578e-181
5.347427363587528e-182
8
-3.8032487866059233e-25
-6.0695810582136045e-28
-6.14323213192593e-28

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
030101
13960
done3960

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s7718×body80valid
147.0ms494×body640valid
75.0ms287×body1280valid
60.0ms399×body320valid
49.0ms23×body2560valid
28.0ms270×body160valid