Details

Time bar (total: 27.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify21.2s

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
3.0b
(fma (/ (- y x) t) z x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- y x) t)
0.0ms
(fma (/ (- y x) t) z x)

series62.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- y x) t)
36.0ms
(fma (/ (- y x) t) z x)

simplify817.0ms

Counts
56 → 56
Iterations

Useful iterations: done (816.0ms)

IterNodesCost
093570
1195548
2513512
31610497
done5000496

prune126.0ms

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
(+ (/ (- y x) (/ t z)) x)
5.6b
(/ (- y x) (/ t z))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
62.0ms
(+ (/ (- y x) (/ t z)) x)
15.0ms
(/ (- y x) (/ t z))

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (/ (- y x) (/ t z)) x)
41.0ms
(/ (- y x) (/ t z))

simplify640.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
02211932
16151810
221371704
done50011704

prune468.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- y x) (/ t z)) x)
5.6b
(/ (- y x) (/ t z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
64.0ms
(+ (/ (- y x) (/ t z)) x)
12.0ms
(/ (- y x) (/ t z))

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (/ (- y x) (/ t z)) x)
43.0ms
(/ (- y x) (/ t z))

simplify649.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
02211932
16151810
221371704
done50011704

prune528.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (- y x) (/ 1 (/ t z))) x)
0.5b
(/ 1 (/ t z))
5.2b
(* (- y x) (/ 1 (/ t z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
97×add-sqr-sqrt
85×*-un-lft-identity
81×add-cube-cbrt
44×associate-*r*
33×add-exp-log
17×add-cbrt-cube
14×div-exp
13×associate-/r*
9×div-inv
7×prod-exp
6×pow1 cbrt-undiv
5×associate-*l* add-log-exp unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u cbrt-unprod log1p-expm1-u associate-/l*
2×frac-times flip3-- associate-*l/ associate-/r/ flip--
1×+-commutative pow-flip fma-def frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares
Counts
3 → 173
Calls
3 calls:
11.0ms
(+ (* (- y x) (/ 1 (/ t z))) x)
5.0ms
(/ 1 (/ t z))
30.0ms
(* (- y x) (/ 1 (/ t z)))

series84.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* (- y x) (/ 1 (/ t z))) x)
8.0ms
(/ 1 (/ t z))
42.0ms
(* (- y x) (/ 1 (/ t z)))

simplify1.5s

Counts
182 → 182
Iterations

Useful iterations: 2 (260.0ms)

IterNodesCost
02652318
16741907
224771517
done50001517

prune338.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

-36% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 2.1b

bsearch38.0ms

Steps
ItersRangePoint
10
-7.45367067637971e-181
-3.7310302835557706e-191
-7.373144133272254e-181

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01523
11821
done1821

end0.0ms

sample567.0ms

Algorithm
intervals
Results
285.0ms10619×body80valid