Details

Time bar (total: 14.3s)

sample38.0ms

Algorithm
intervals
Results
14.0ms277×body80valid

simplify720.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- z a))))
0.0b
(/ (- z t) (- z a))
3.4b
(* y (/ (- z t) (- z a)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
7.0ms
(+ x (* y (/ (- z t) (- z a))))
34.0ms
(/ (- z t) (- z a))
79.0ms
(* y (/ (- z t) (- z a)))

series229.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ x (* y (/ (- z t) (- z a))))
51.0ms
(/ (- z t) (- z a))
88.0ms
(* y (/ (- z t) (- z a)))

simplify603.0ms

Counts
122 → 122

prune416.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b
(/ (- z a) (- z t))
0.5b
(/ 1 (/ (- z a) (- z t)))
3.4b
(* y (/ 1 (/ (- z a) (- z t))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
11.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
38.0ms
(/ (- z a) (- z t))
36.0ms
(/ 1 (/ (- z a) (- z t)))
99.0ms
(* y (/ 1 (/ (- z a) (- z t))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(+ x (* y (/ 1 (/ (- z a) (- z t)))))
58.0ms
(/ (- z a) (- z t))
131.0ms
(/ 1 (/ (- z a) (- z t)))
203.0ms
(* y (/ 1 (/ (- z a) (- z t))))

simplify1.8s

Counts
350 → 350

prune958.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(* y (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))))
4.8b
(cbrt (/ 1 (/ (- z a) (- z t))))
4.8b
(cbrt (/ 1 (/ (- z a) (- z t))))
4.8b
(cbrt (/ 1 (/ (- z a) (- z t))))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
504×times-frac
381×add-sqr-sqrt
380×*-un-lft-identity
294×cbrt-prod
200×add-cube-cbrt
90×distribute-lft-out-- difference-of-squares
21×associate-/r/
12×div-inv
9×pow1 add-exp-log flip3-- flip--
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 343
Calls
4 calls:
199.0ms
(* y (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))))
23.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
23.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
30.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* y (* (cbrt (/ 1 (/ (- z a) (- z t)))) (cbrt (/ 1 (/ (- z a) (- z t))))))
145.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
193.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))
187.0ms
(cbrt (/ 1 (/ (- z a) (- z t))))

simplify1.1s

Counts
355 → 355

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(* (cbrt (- z t)) (cbrt (- z t)))
3.4b
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (- z a) (cbrt (- z t))))))

rewrite387.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
40×cbrt-div
38×cbrt-prod
37×prod-exp
35×add-sqr-sqrt
33×*-un-lft-identity
25×associate-*r/ add-cbrt-cube
20×pow1 frac-times flip3-- flip--
17×cbrt-unprod
15×add-cube-cbrt
14×div-exp associate-*l/
11×associate-*l*
10×swap-sqr
9×associate-*r*
8×pow1/3 pow-prod-down distribute-lft-out--
6×cbrt-undiv difference-of-squares
4×rec-exp 1-exp add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus un-div-inv
Counts
4 → 141
Calls
4 calls:
5.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
40.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
331.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (- z a) (cbrt (- z t))))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (- z t))
232.0ms
(cbrt (- z t))
198.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
78.0ms
(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ 1 (/ (- z a) (cbrt (- z t))))))

simplify1.2s

Counts
153 → 153

prune635.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes355.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch96.0ms

Steps
ItersRangePoint
6
1.4800420664589998e-20
1.7032597989513092e-19
1.0253879521988147e-19
8
-7.900526930121995e-72
-6.799482303974979e-75
-6.366002923159597e-72

simplify637.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
595.0ms8756×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid