Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2605
3885
41225
51755
66255
746865
850015

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: 11.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
11.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
6×fma-neg prod-diff
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 74
Calls
3 calls:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
7.0ms
(/ (- x (* y z)) (- t (* a z)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (* y z))
33.0ms
(- t (* a z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify120.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0296491
1972444
24276439
35001435

prune259.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New711283
Fresh000
Picked101
Done000
Total721284

Merged error: 11.6b

Counts
84 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
1.0b
(/ 1 (- t (* a z)))
11.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- fma-neg prod-diff flip--
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 119
Calls
4 calls:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
5.0ms
(/ 1 (- t (* a z)))
11.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series179.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- x (* y z))
32.0ms
(- t (* a z))
50.0ms
(/ 1 (- t (* a z)))
63.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0380761
11594661
25001633

prune302.0ms

Filtered
131 candidates to 88 candidates (67.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1292131
Fresh2911
Picked011
Done000
Total13112143

Merged error: 11.5b

Counts
143 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×fma-neg prod-diff div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 160
Calls
4 calls:
3.0ms
(- x (* y z))
3.0ms
(- t (* a z))
9.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.0ms
(/ (- t (* a z)) (- x (* y z)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- x (* y z))
33.0ms
(- t (* a z))
225.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
60.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05441535
123681380
250031291

prune359.0ms

Filtered
172 candidates to 106 candidates (61.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1711172
Fresh01010
Picked011
Done011
Total17113184

Merged error: 11.5b

Counts
184 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
10.5b
(cbrt (- t (* a z)))
10.5b
(cbrt (- t (* a z)))
10.5b
(cbrt (- t (* a z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-- flip--
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 79
Calls
4 calls:
12.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series839.0ms

Counts
4 → 12
Calls
4 calls:
450.0ms
(/ (- x (* y z)) (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))))
130.0ms
(cbrt (- t (* a z)))
130.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0461909
11349833
24933803
35001803

prune349.0ms

Filtered
91 candidates to 81 candidates (89.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New90191
Fresh1910
Picked011
Done022
Total9113104

Merged error: 11.5b

Counts
104 → 13

regimes271.0ms

Accuracy

0% (0.4b remaining)

Error of 10.4b against oracle of 10.0b and baseline of 10.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample529.0ms

Algorithm
intervals
Results
273.0ms8675×body80valid