Details

Time bar (total: 8.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.0b
(/ x (* (- y z) (- t z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
24.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y z) (- t z))
137.0ms
(/ x (* (- y z) (- t z)))

simplify71.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0384705
11834535
25002528

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y z))
1.7b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
28×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
8×prod-exp
6×associate-/r/ unswap-sqr
5×pow1 cbrt-undiv associate-/r*
4×cbrt-unprod
3×rec-exp flip3-- 1-exp flip-- div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 117
Calls
2 calls:
6.0ms
(/ 1 (- y z))
39.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series300.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1 (- y z))
254.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0496738
12153637
25001597

prune284.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (/ 1 (- y z)) (/ x (- t z)))
24.0b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
37×times-frac
36×*-un-lft-identity
26×add-exp-log
22×add-cube-cbrt
21×associate-*r* associate-*l*
16×add-cbrt-cube
9×cbrt-div
8×div-exp prod-exp
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×cbrt-undiv expm1-log1p-u frac-times associate-*r/ associate-*l/ associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×rec-exp flip3-- 1-exp flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 116
Calls
4 calls:
35.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
12.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
10.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
10.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.5s

Counts
4 → 12
Calls
4 calls:
260.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
750.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
731.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
747.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify86.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05841040
12421921
25001902

prune507.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

13.5b
(cbrt (/ x (- t z)))
24.0b
(cbrt (* (* (/ 1 (- y z)) (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))) (cbrt (/ x (- t z)))))
24.0b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
24.0b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
24×cbrt-prod
19×add-sqr-sqrt frac-times *-un-lft-identity
15×times-frac associate-*l/
13×add-cube-cbrt associate-*r/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-/r/
1×flip3-- flip-- div-inv
Counts
4 → 86
Calls
4 calls:
6.0ms
(cbrt (/ x (- t z)))
158.0ms
(cbrt (* (* (/ 1 (- y z)) (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))) (cbrt (/ x (- t z)))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
10.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.5s

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt (/ x (- t z)))
752.0ms
(cbrt (* (* (/ 1 (- y z)) (* (cbrt (/ x (- t z))) (cbrt (/ x (- t z))))) (cbrt (/ x (- t z)))))
761.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
746.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04761115
114191051
25001915

prune506.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes261.0ms

Accuracy

10.6% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch92.0ms

Steps
ItersRangePoint
8
1.1153785941723318e-233
2.248873935831e-229
5.028956619750263e-230
9
-4.9356193294537816e-111
-1.4236932931255447e-118
-6.22342701453448e-113

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02413
12413

end0.0ms

sample453.0ms

Algorithm
intervals
Results
235.0ms8461×body80valid