Details

Time bar (total: 2.4s)

sample23.0ms

Algorithm
intervals
Results
8.0ms280×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.9b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod 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 → 63
Calls
2 calls:
8.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0300403
11371359
25001355

prune82.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh000
Picked011
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.5b
(/ (/ x (- y z)) (- t z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- y z))
11.0ms
(/ (/ x (- y z)) (- t z))

series36.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (- y z))
29.0ms
(/ (/ x (- y z)) (- t z))

simplify61.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune143.0ms

Filtered
128 candidates to 191 candidates (-49.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1883191
Fresh033
Picked011
Done101
Total1897196

Merged error: 0b

Counts
196 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.6b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
52×*-un-lft-identity times-frac
30×add-cube-cbrt
26×add-exp-log
21×associate-*r* associate-*l*
16×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×div-exp
8×prod-exp
6×associate-/r/ unswap-sqr
5×cbrt-undiv associate-/r*
4×pow1 cbrt-unprod
3×flip3-- flip-- div-inv associate-/l*
2×rec-exp 1-exp add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ x (- t z))
19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ x (- t z))
43.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0465719
12000629
25001609

prune100.0ms

Filtered
78 candidates to 115 candidates (-47.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done011
Total1157122

Merged error: 0b

Counts
122 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) x)
0.9b
(/ 1 (/ (- y z) x))
1.5b
(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
1054×times-frac
680×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
133×distribute-lft-out-- difference-of-squares
70×associate-/l*
35×add-exp-log
31×div-inv
27×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
9×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num associate-/l/ add-log-exp
2×flip3-- flip--
1×pow-flip div-sub inv-pow
Counts
3 → 538
Calls
3 calls:
6.0ms
(/ (- y z) x)
8.0ms
(/ 1 (/ (- y z) x))
23.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

series64.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- y z) x)
15.0ms
(/ 1 (/ (- y z) x))
43.0ms
(/ (/ 1 (/ (- y z) x)) (- t z))

simplify90.0ms

Algorithm
egg-herbie
Counts
547 → 547
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017616451
150015925

prune343.0ms

Filtered
278 candidates to 547 candidates (-96.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5470547
Fresh044
Picked011
Done022
Total5477554

Merged error: 0b

Counts
554 → 7

regimes454.0ms

Accuracy

1.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.3b

bsearch22.0ms

Steps
ItersRangePoint
10
1.9145645291717647e-194
4.90885029186073e-182
3.602579786010477e-186

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample599.0ms

Algorithm
intervals
Results
237.0ms8484×body80valid

Profiling

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