Details

Time bar (total: 28.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms336×body80valid

simplify20.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
089
1149
2289
3518
4888
51468
62108
72698
83308
94878
107548
1110988
1217308
1324808
1432158
1547798
done50008

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
6.1b
(/ (* (- y x) z) t)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 42
Calls
2 calls:
5.0ms
(+ x (/ (* (- y x) z) t))
7.0ms
(/ (* (- y x) z) t)

series79.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (/ (* (- y x) z) t))
42.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
48 → 48
Iterations

Useful iterations: done (1.4s)

IterNodesCost
088539
1245505
2822435
34164419
done5000418

prune123.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 121
Calls
2 calls:
28.0ms
(+ x (/ (- y x) (/ t z)))
14.0ms
(/ (- y x) (/ t z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
56.0ms
(/ (- y x) (/ t z))

simplify602.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
02211932
16161804
221461697
done50001697

prune277.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(/ (- y x) (/ (cbrt t) z))
3.5b
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
322×add-sqr-sqrt
291×*-un-lft-identity
197×add-cube-cbrt
115×associate-*r*
108×cbrt-prod
87×add-exp-log
45×distribute-lft-out-- difference-of-squares
36×div-exp
35×add-cbrt-cube
30×prod-exp
22×associate-/r*
18×cbrt-undiv
14×div-inv
12×cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1 rec-exp 1-exp
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 361
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
14.0ms
(/ (- y x) (/ (cbrt t) z))
81.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt t)
168.0ms
(cbrt t)
170.0ms
(/ (- y x) (/ (cbrt t) z))
83.0ms
(* (/ 1 (* (cbrt t) (cbrt t))) (/ (- y x) (/ (cbrt t) z)))

simplify481.0ms

Counts
373 → 373
Iterations

Useful iterations: done (470.0ms)

IterNodesCost
04716967
115856399
done50006111

prune882.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ y t) z x) (/ x (/ t z)))
3.4b
(/ x (/ t z))
4.4b
(fma (/ y t) z x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-exp-log add-cbrt-cube
5×add-log-exp
4×associate-/r/
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
2×fma-udef
1×sub-neg flip3-- frac-2neg diff-log associate--l+ clear-num flip-- distribute-lft-out--
Counts
3 → 236
Calls
3 calls:
23.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
5.0ms
(/ x (/ t z))
0.0ms
(fma (/ y t) z x)

series93.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (fma (/ y t) z x) (/ x (/ t z)))
21.0ms
(/ x (/ t z))
42.0ms
(fma (/ y t) z x)

simplify2.0s

Counts
245 → 245
Iterations

Useful iterations: 2 (422.0ms)

IterNodesCost
050110134
112849345
249546967
done50006967

prune491.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

44.7% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01751
12343
done2343

end0.0ms

sample549.0ms

Algorithm
intervals
Results
282.0ms10586×body80valid