Details

Time bar (total: 9.1s)

sample19.0ms

Algorithm
intervals
Results
8.0ms281×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.0b
(/ (* x (- y z)) (- t z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
93×*-un-lft-identity
70×times-frac
49×add-cube-cbrt
35×associate-*r*
22×distribute-lft-out-- difference-of-squares
21×associate-*l*
18×prod-diff
14×associate-/l*
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
7×*-commutative unswap-sqr
5×associate-/r*
4×pow1 associate-*r/
3×flip3-- flip--
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num div-inv
Counts
2 → 155
Calls
2 calls:
8.0ms
(* x (- y z))
15.0ms
(/ (* x (- y z)) (- t z))

series128.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* x (- y z))
80.0ms
(/ (* x (- y z)) (- t z))

simplify86.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
05801254
126051091
250021091

prune207.0ms

Filtered
161 candidates to 95 candidates (59.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1556161
Fresh000
Picked101
Done000
Total1566162

Merged error: 0b

Counts
162 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
79×*-un-lft-identity
51×times-frac
31×associate-*r*
28×add-cube-cbrt
25×distribute-lft-out--
24×difference-of-squares
15×associate-*r/
12×associate-/l*
10×associate-/r*
9×add-exp-log add-cbrt-cube
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×associate-*l* clear-num un-div-inv
2×cbrt-undiv expm1-log1p-u frac-2neg div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×div-sub pow-prod-down *-commutative
Counts
2 → 123
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- y z) (- t z))
84.0ms
(* x (/ (- y z) (- t z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0394711
11607670
25001670

prune187.0ms

Filtered
129 candidates to 84 candidates (65.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1281129
Fresh145
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.4b
(/ x (/ (- t z) (- y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
200×add-sqr-sqrt *-un-lft-identity
92×add-cube-cbrt
54×distribute-lft-out-- difference-of-squares
41×associate-/r*
25×associate-/r/
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×flip3-- flip--
6×div-inv
4×cbrt-undiv div-exp associate-/l/
3×frac-2neg clear-num
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×div-sub
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
21.0ms
(/ x (/ (- t z) (- y z)))

series235.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- t z) (- y z))
181.0ms
(/ x (/ (- t z) (- y z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06601848
129711795
250011793

prune5.2s

Filtered
218 candidates to 147 candidates (67.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2171218
Fresh134
Picked011
Done011
Total2186224

Merged error: 0b

Counts
224 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
10.4b
(* (/ (* (cbrt x) (cbrt x)) (- t z)) (* (- y z) (cbrt x)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
363×add-sqr-sqrt
194×associate-*l*
176×*-un-lft-identity
169×cbrt-prod
162×times-frac
114×add-cube-cbrt
107×associate-*l/
96×unswap-sqr
81×associate-/l*
72×associate-*r*
70×frac-times
61×add-cbrt-cube
54×swap-sqr
42×cbrt-unprod
37×flip3-- flip--
31×distribute-lft-out-- difference-of-squares
25×add-exp-log
15×cbrt-undiv associate-/r*
13×*-commutative
11×prod-exp
9×pow1
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×frac-2neg pow1/3 pow-prod-down clear-num
2×associate-*r/ associate-/r/
1×div-inv
Counts
4 → 371
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)
76.0ms
(* (/ (* (cbrt x) (cbrt x)) (- t z)) (* (- y z) (cbrt x)))

series821.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt x)
201.0ms
(cbrt x)
199.0ms
(cbrt x)
211.0ms
(* (/ (* (cbrt x) (cbrt x)) (- t z)) (* (- y z) (cbrt x)))

simplify104.0ms

Algorithm
egg-herbie
Counts
383 → 383
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
018714473
150024194

prune781.0ms

Filtered
383 candidates to 268 candidates (70.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3830383
Fresh033
Picked011
Done022
Total3836389

Merged error: 0b

Counts
389 → 6

regimes119.0ms

Accuracy

8.7% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.1b

bsearch82.0ms

Steps
ItersRangePoint
6
2.1320668361556634e-56
2.0916289490817827e-55
6.888884767022198e-56
9
-1.1507818560156798e-96
-2.8813744379999595e-102
-2.8365696321403803e-98

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02513
12513

end0.0ms

sample492.0ms

Algorithm
intervals
Results
257.0ms8751×body80valid