Details

Time bar (total: 7.8s)

sample124.0ms

Algorithm
intervals
Results
82.0ms666×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04314
19614
229114
382514
4202114
5500114

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* c z) (* i a))
4.4b
(* j (- (* c t) (* i y)))
4.5b
(* x (- (* y z) (* t a)))
4.5b
(* b (- (* c z) (* i a)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in associate-*r/ add-log-exp
4×flip3-- flip--
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 84
Calls
4 calls:
2.0ms
(- (* c z) (* i a))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* x (- (* y z) (* t a)))
9.0ms
(* b (- (* c z) (* i a)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* c z) (* i a))
65.0ms
(* j (- (* c t) (* i y)))
65.0ms
(* x (- (* y z) (* t a)))
65.0ms
(* b (- (* c z) (* i a)))

simplify49.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0425552
11771485
25002485

prune394.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.7b

localize22.0ms

Local error

Found 4 expressions with local error:

4.1b
(* x (- (* t a)))
4.4b
(* j (- (* c t) (* i y)))
4.5b
(* b (- (* c z) (* i a)))
5.8b
(* x (* y z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ *-commutative add-log-exp
3×unswap-sqr
2×flip3-- flip--
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out
Counts
4 → 88
Calls
4 calls:
4.0ms
(* x (- (* t a)))
9.0ms
(* j (- (* c t) (* i y)))
9.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (* y z))

series184.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (- (* t a)))
68.0ms
(* j (- (* c t) (* i y)))
66.0ms
(* b (- (* c z) (* i a)))
24.0ms
(* x (* y z))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0444484
12062419
25002419

prune441.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.2b

localize27.0ms

Local error

Found 4 expressions with local error:

5.8b
(* x (* y z))
12.5b
(cbrt (* x (- (* t a))))
12.5b
(cbrt (* x (- (* t a))))
12.5b
(cbrt (* x (- (* t a))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 45
Calls
4 calls:
6.0ms
(* x (* y z))
2.0ms
(cbrt (* x (- (* t a))))
2.0ms
(cbrt (* x (- (* t a))))
2.0ms
(cbrt (* x (- (* t a))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (* y z))
101.0ms
(cbrt (* x (- (* t a))))
101.0ms
(cbrt (* x (- (* t a))))
101.0ms
(cbrt (* x (- (* t a))))

simplify56.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0199324
1622282
22167273
35001258

prune373.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.2b

localize31.0ms

Local error

Found 4 expressions with local error:

5.8b
(* x (* y z))
9.0b
(cbrt (- (* t a)))
12.5b
(cbrt (* x (- (* t a))))
12.5b
(cbrt (* x (- (* t a))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in associate-*r* *-commutative
Counts
4 → 50
Calls
4 calls:
5.0ms
(* x (* y z))
1.0ms
(cbrt (- (* t a)))
2.0ms
(cbrt (* x (- (* t a))))
2.0ms
(cbrt (* x (- (* t a))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (* y z))
97.0ms
(cbrt (- (* t a)))
102.0ms
(cbrt (* x (- (* t a))))
102.0ms
(cbrt (* x (- (* t a))))

simplify58.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0251337
1711297
22380283
35001271

prune374.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.2b

regimes1.1s

Accuracy

2.9% (5.5b remaining)

Error of 12.2b against oracle of 6.7b and baseline of 12.4b

bsearch168.0ms

Steps
ItersRangePoint
4
1.1368754628327308e-266
1.8289210979086983e-266
1.7252504416247213e-266
8
-4.592511495533277e-224
-2.642878122848792e-227
-3.6945330208330025e-225

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07545
18645
29145
39145

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.4s19212×body80valid